<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/a7819761-5d32-42d7-a27f-74e36ab8e0ff/bg1.png"><div class="c x1 y1 w2 h2"><div class="t m0 x2 h3 y2 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y3 ff1 fs0 fc0 sc0 ls4 wsb"> </div></div><div class="c x4 y1 w3 h2"><div class="t m0 x3 h3 y4 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y5 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y6 ff1 fs0 fc0 sc0 ls4 wsb">2019, Instituto Mexican<span class="blank _0"> </span>o de Tecnología del Agua<span class="blank _1"> </span> </div><div class="t m0 x3 h3 y7 ff1 fs0 fc0 sc0 ls4 wsb">Open Access bajo la lic<span class="blank _0"> </span>encia CC BY<span class="blank _0"> </span>-<span class="ls5 ws0">NC</span>-SA 4.0 </div><div class="t m0 x3 h3 y8 ff1 fs0 fc0 sc0 ls4 ws1">(https://creativeco<span class="blank"> </span>mmons.org/licen<span class="blank"> </span>ses/by<span class="blank _0"> </span>-<span class="ls6 ws2">nc</span><span class="wsb">-sa/4.0/)<span class="blank _0"> </span> </span></div></div><div class="t m0 x5 h4 y9 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x6 h4 ya ff2 fs0 fc0 sc0 ls0 ws3">117<span class="fs1 ls4 wsb"> </span></div><div class="t m0 x5 h5 yb ff3 fs2 fc0 sc0 ls4 wsb">Tecnología y cien<span class="blank _2"></span>cias del<span class="blank _2"></span> agua<span class="ff2">, ISSN 20<span class="blank _2"></span>07-2422, 1<span class="blank _2"></span>0(6<span class="ls7 ws4">),</span> 117-146. DO<span class="blank _2"></span>I: 10.24850/j-t<span class="blank _2"></span>yca-201<span class="blank _2"></span>9-<span class="ls8 ws5">06</span>-05 </span></div><div class="t m0 x7 h4 yc ff2 fs1 fc0 sc0 ls4 wsb">DOI: 10.24850/j-tyca-<span class="ls1 ws6">2019</span><span class="ws7">-<span class="ls9 ws8">06</span>-<span class="ls1 ws6">05</span></span> </div><div class="t m0 x8 h4 yd ff2 fs1 fc0 sc0 ls4 wsb">Artículos </div><div class="t m0 x9 h6 ye ff4 fs3 fc0 sc0 ls4 wsb">Optimización g<span class="blank _2"></span>eométrica d<span class="blank _2"></span>e un lente su<span class="blank _2"></span>mergido para<span class="blank _2"></span> </div><div class="t m0 xa h6 yf ff4 fs3 fc0 sc0 ls4 wsb">focalizar la ene<span class="blank _2"></span>rgía del ole<span class="blank _2"></span>aje </div><div class="t m0 xb h6 y10 ff4 fs3 fc0 sc0 ls4 wsb">Geometric o<span class="blank _2"></span>ptimization o<span class="blank _2"></span>f a s<span class="blank _2"></span>ubmerged lens <span class="blank _2"></span>for wave </div><div class="t m0 xc h6 y11 ff4 fs3 fc0 sc0 ls4 wsb">energy focus<span class="blank _2"></span>ing </div><div class="t m0 x5 h4 y12 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 h7 y13 ff2 fs1 fc0 sc0 ls4 wsb">Santiago Gajá<span class="fs2 ls2 v1">1</span> </div><div class="t m0 x5 h7 y14 ff2 fs1 fc0 sc0 ls4 wsb">Edgar Mendoza<span class="fs2 ls2 v1">2</span> </div><div class="t m0 x5 h7 y15 ff2 fs1 fc0 sc0 ls4 wsb">Rodolfo Silva<span class="fs2 v1">3 </span></div><div class="t m0 x5 h4 y16 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 h5 y17 ff2 fs2 fc0 sc0 ls2">1<span class="fs1 ls4 wsb v2">Instituto <span class="blank _3"> </span>de <span class="blank _3"> </span>Ingeniería, <span class="blank _4"> </span>División <span class="blank _3"> </span>Ambiental, <span class="blank _4"> </span>AECOM <span class="blank _3"> </span>México <span class="blank _4"> </span>- <span class="blank _3"> </span>DCS </span></div><div class="t m0 x5 h4 y18 ff2 fs1 fc0 sc0 lsa ws9">Am<span class="ls4 ws7">éricas</span><span class="wsb">, <span class="ls4">Ciudad de México, México, santiago-gaja@aecom.com <span class="fc1"> </span></span></span></div><div class="t m0 x5 h5 y19 ff2 fs2 fc0 sc0 ls2">2<span class="fs1 ls4 wsb v2">Instituto <span class="blank _0"> </span>de <span class="blank _0"> </span>Ingeni<span class="blank _0"> </span>ería, <span class="blank _0"> </span>Universidad <span class="blank _0"> </span>N<span class="blank _0"> </span>acional <span class="blank _0"> </span>Autónoma <span class="blank _1"> </span>de <span class="blank _0"> </span>México, <span class="blank _1"> </span>Ciudad </span></div><div class="t m0 x5 h4 y1a ff2 fs1 fc0 sc0 ls4 wsb">de <span class="blank _5"> </span>México, <span class="blank _5"> </span>México, <span class="blank _5"> </span>emendozab@iingen.unam.mx, <span class="blank _5"> </span>ORCID: <span class="blank _5"> </span>0000<span class="blank _0"> </span>-0002-</div><div class="t m0 x5 h8 y1b ff2 fs1 fc0 sc0 ls4 ws7">1991-4721.<span class="ff4 wsb"> </span></div><div class="t m0 x5 h5 y1c ff2 fs2 fc0 sc0 ls2">3<span class="fs1 ls4 wsb v2">Instituto <span class="blank _0"> </span>de <span class="blank _0"> </span>Ingeni<span class="blank _0"> </span>ería, <span class="blank _0"> </span>Universidad <span class="blank _0"> </span>N<span class="blank _0"> </span>acional <span class="blank _0"> </span>Autónoma <span class="blank _1"> </span>de <span class="blank _0"> </span>México, <span class="blank _1"> </span>Ciudad </span></div><div class="t m0 x5 h4 y1d ff2 fs1 fc0 sc0 ls4 wsb">de <span class="blank _6"> </span>México, <span class="blank _6"> </span>México, <span class="blank _6"> </span>rsilvac@iing<span class="blank _2"></span>en.unam.mx, <span class="blank _6"> </span>ORCID: <span class="blank _6"> </span>0000-0003-0064-</div><div class="t m0 x5 h8 y1e ff2 fs1 fc0 sc0 ls3 wsa">9558.<span class="ff4 ls4 wsb"> </span></div><div class="t m0 x5 h4 y1f ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 h4 y20 ff2 fs1 fc0 sc0 ls4 wsb">Autor para correspondencia: Edgar Mendoza, emendozab@iingen.unam.mx </div><div class="t m0 x5 h4 y21 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 h8 y22 ff4 fs1 fc0 sc0 ls4 wsb">Resumen </div><div class="t m0 x5 h4 y23 ff2 fs1 fc0 sc0 ls4 wsb">En <span class="blank _7"> </span>este <span class="blank _7"> </span>trabajo <span class="blank _7"> </span>se <span class="blank _7"> </span>propone <span class="blank _7"> </span>el <span class="blank _7"> </span>uso <span class="blank _7"> </span>de <span class="blank _7"> </span>estructuras <span class="blank _7"> </span>sumergidas <span class="blank _7"> </span>de <span class="blank _7"> </span>forma </div><div class="t m0 x5 h4 y24 ff2 fs1 fc0 sc0 ls4 wsb">elíptica como una alternativa viable para la focalización del oleaje y con ello </div><div class="t m0 x5 h4 y25 ff2 fs1 fc0 sc0 ls4 wsb">disponer de <span class="blank _0"> </span>focos <span class="blank _0"> </span>de alta <span class="blank _0"> </span>energía para <span class="blank _0"> </span>su apro<span class="blank _0"> </span>vechamiento como <span class="blank _0"> </span>fuente de </div><div class="t m0 x5 h4 y26 ff2 fs1 fc0 sc0 ls4 wsb">energía <span class="blank _8"> </span>renovable. <span class="blank _8"> </span>Se <span class="blank _8"> </span>empleó <span class="blank _8"> </span>un <span class="blank _8"> </span>modelo <span class="blank _8"> </span>numérico, <span class="blank _7"> </span>v<span class="blank _0"> </span>alidado <span class="blank _8"> </span>con <span class="blank _8"> </span>datos </div><div class="t m0 x5 h4 y27 ff2 fs1 fc0 sc0 ls4 wsb">experimentales, <span class="blank"> </span>para <span class="blank"> </span>determinar <span class="blank"> </span>la <span class="blank _9"> </span>geometría <span class="blank"> </span>óptima <span class="blank"> </span>de <span class="blank _9"> </span>la <span class="blank"> </span>estructura </div><div class="t m0 x5 h4 y28 ff2 fs1 fc0 sc0 ls4 wsb">elíptica <span class="blank _6"> </span>sumergida <span class="blank _a"> </span>en <span class="blank _6"> </span>términos <span class="blank _a"> </span>de <span class="blank _a"> </span>la <span class="blank _6"> </span>longitud <span class="blank _6"> </span>y<span class="blank _0"> </span> <span class="blank _a"> </span>dirección <span class="blank _6"> </span>del <span class="blank _a"> </span>oleaje </div><div class="t m0 x5 h4 y29 ff2 fs1 fc0 sc0 ls4 wsb">incidente. <span class="blank _6"> </span>Los <span class="blank _b"> </span>resultados <span class="blank _b"> </span>permiten <span class="blank _b"> </span>diseñar <span class="blank _b"> </span>lentes <span class="blank _6"> </span>elípticos <span class="blank _b"> </span>sumergidos </div><div class="t m0 x5 h4 y2a ff2 fs1 fc0 sc0 ls4 wsb">como <span class="blank _7"> </span>fun<span class="blank _2"></span>ción <span class="blank _7"> </span>d<span class="blank _2"></span>e <span class="blank _7"> </span>las <span class="blank _c"> </span>condiciones <span class="blank _c"> </span>hidrodinámicas <span class="blank _c"> </span>locales <span class="blank _7"> </span>para <span class="blank _c"> </span>obtener <span class="blank _7"> </span>su </div><div class="t m0 x5 h4 y2b ff2 fs1 fc0 sc0 ls4 wsb">máximo <span class="blank _9"> </span>desempeño, <span class="blank _9"> </span>y <span class="blank _9"> </span>ofrece <span class="blank _b"> </span>métricas <span class="blank"> </span>de <span class="blank _9"> </span>su <span class="blank _9"> </span>ef<span class="blank _0"> </span>iciencia <span class="blank _9"> </span>para <span class="blank _9"> </span>distintas </div><div class="t m0 x5 h4 y2c ff2 fs1 fc0 sc0 ls4 wsb">geometrías <span class="blank"> </span>en <span class="blank _9"> </span>términos <span class="blank"> </span>de <span class="blank"> </span>su <span class="blank _9"> </span>excentricidad, <span class="blank"> </span>altura, <span class="blank"> </span>y <span class="blank _9"> </span>profundidad <span class="blank"> </span>de </div><div class="t m0 x5 h4 y2d ff2 fs1 fc0 sc0 ls4 wsb">instalación. </div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/a7819761-5d32-42d7-a27f-74e36ab8e0ff/bg2.png"><div class="c x1 y1 w2 h2"><div class="t m0 x2 h3 y2 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y3 ff1 fs0 fc0 sc0 ls4 wsb"> </div></div><div class="c x4 y1 w3 h2"><div class="t m0 x3 h3 y4 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y5 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y6 ff1 fs0 fc0 sc0 ls4 wsb">2019, Instituto Mexican<span class="blank _0"> </span>o de Tecnología del Agua<span class="blank _1"> </span> </div><div class="t m0 x3 h3 y7 ff1 fs0 fc0 sc0 ls4 wsb">Open Access bajo la lic<span class="blank _0"> </span>encia CC BY<span class="blank _0"> </span>-<span class="ls5 ws0">NC</span>-SA 4.0 </div><div class="t m0 x3 h3 y8 ff1 fs0 fc0 sc0 ls4 ws1">(https://creativeco<span class="blank"> </span>mmons.org/licen<span class="blank"> </span>ses/by<span class="blank _0"> </span>-<span class="ls6 ws2">nc</span><span class="wsb">-sa/4.0/)<span class="blank _0"> </span> </span></div></div><div class="t m0 x5 h4 y9 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x6 h4 ya ff2 fs0 fc0 sc0 ls0 ws3">118<span class="fs1 ls4 wsb"> </span></div><div class="t m0 x5 h5 yb ff3 fs2 fc0 sc0 ls4 wsb">Tecnología y cien<span class="blank _2"></span>cias del<span class="blank _2"></span> agua<span class="ff2">, ISSN 20<span class="blank _2"></span>07-2422, 1<span class="blank _2"></span>0(6<span class="ls7 ws4">),</span> 117-146. DO<span class="blank _2"></span>I: 10.24850/j-t<span class="blank _2"></span>yca-201<span class="blank _2"></span>9-<span class="ls8 ws5">06</span>-05 </span></div><div class="t m0 x5 h8 yc ff4 fs1 fc0 sc0 ls4 wsb">Palabras <span class="blank _9"> </span>clave<span class="ff2 lsa">: <span class="blank"> </span><span class="ls4">CELER<span class="blank _0"> </span>IS, <span class="blank"> </span>focalización <span class="blank"> </span>de <span class="blank _9"> </span>energía, <span class="blank _9"> </span>lentes <span class="blank _9"> </span>sumergidos, </span></span></div><div class="t m0 x5 h4 y2e ff2 fs1 fc0 sc0 ls4 wsb">energía del oleaje.<span class="ff5"> </span></div><div class="t m0 x5 h8 y2f ff4 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 h8 y30 ff4 fs1 fc0 sc0 ls4 wsb">Abstract </div><div class="t m0 x5 h4 y31 ff2 fs1 fc0 sc0 ls4 wsb">In <span class="blank _9"> </span>this <span class="blank _9"> </span>paper, <span class="blank _9"> </span>the <span class="blank _9"> </span>use <span class="blank _b"> </span>of <span class="blank"> </span>su<span class="blank _0"> </span>bmerged <span class="blank _9"> </span>structures <span class="blank _9"> </span>of <span class="blank _9"> </span>ell<span class="blank _0"> </span>iptical <span class="blank _9"> </span>form <span class="blank _9"> </span>are </div><div class="t m0 x5 h4 y32 ff2 fs1 fc0 sc0 ls4 wsb">proposed <span class="blank _0"> </span>as <span class="blank _0"> </span>a <span class="blank _0"> </span>viable <span class="blank _0"> </span>alternative to <span class="blank _0"> </span>focusing <span class="blank _0"> </span>of <span class="blank _0"> </span>the <span class="blank _0"> </span>swell <span class="blank _0"> </span>and <span class="blank _0"> </span>with <span class="blank _0"> </span>it <span class="blank _0"> </span>to <span class="blank _0"> </span>have </div><div class="t m0 x5 h4 y33 ff2 fs1 fc0 sc0 ls4 wsb">high <span class="blank _9"> </span>energy <span class="blank _9"> </span>sources <span class="blank _b"> </span>for <span class="blank"> </span>its <span class="blank _b"> </span>use <span class="blank"> </span>as <span class="blank _b"> </span>a <span class="blank _9"> </span>source <span class="blank _9"> </span>of <span class="blank _9"> </span>re<span class="blank _0"> </span>newable <span class="blank"> </span>energy. <span class="blank _9"> </span>A<span class="blank _1"> </span> </div><div class="t m0 x5 h4 y34 ff2 fs1 fc0 sc0 ls4 wsb">numerical <span class="blank _0"> </span>model, <span class="blank _1"> </span>validated <span class="blank _1"> </span>with <span class="blank _1"> </span>experimental <span class="blank _0"> </span>da<span class="blank _0"> </span>ta, <span class="blank _0"> </span>was <span class="blank _1"> </span>used <span class="blank _1"> </span>to <span class="blank _1"> </span>determine </div><div class="t m0 x5 h4 y35 ff2 fs1 fc0 sc0 ls4 wsb">the <span class="blank _d"> </span>optimal <span class="blank _d"> </span>geometry <span class="blank _d"> </span>of <span class="blank _d"> </span>the <span class="blank _d"> </span>submerged <span class="blank _d"> </span>elliptical <span class="blank _d"> </span>structure <span class="blank _d"> </span>in <span class="blank _d"> </span>terms <span class="blank _d"> </span>of <span class="blank _d"> </span>the </div><div class="t m0 x5 h4 y36 ff2 fs1 fc0 sc0 ls4 wsb">length <span class="blank _e"> </span>and <span class="blank _e"> </span>d<span class="blank _0"> </span>irection <span class="blank _e"> </span>of <span class="blank _e"> </span>the <span class="blank _f"> </span>incident <span class="blank _e"> </span>wave. <span class="blank _f"> </span>The <span class="blank _e"> </span>results <span class="blank _e"> </span>allo<span class="blank _0"> </span>w <span class="blank _e"> </span>the <span class="blank _f"> </span>design <span class="blank _e"> </span>of </div><div class="t m0 x5 h4 y37 ff2 fs1 fc0 sc0 ls4 wsb">the submerged <span class="blank _0"> </span>elliptical lenses <span class="blank _1"> </span>to functi<span class="blank _0"> </span>on in <span class="blank _0"> </span>local <span class="blank _0"> </span>hydrodynamic condi<span class="blank _0"> </span>tions </div><div class="t m0 x5 h4 y38 ff2 fs1 fc0 sc0 ls4 wsb">to <span class="blank _10"> </span>obtain <span class="blank _10"> </span>maximum <span class="blank _10"> </span>performance <span class="blank _10"> </span>and<span class="blank _2"></span> <span class="blank _10"> </span>offer <span class="blank _10"> </span>metrics <span class="blank _10"> </span>of <span class="blank _10"> </span>their <span class="blank _10"> </span>efficiency<span class="blank _2"></span> <span class="blank _10"> </span>for </div><div class="t m0 x5 h4 y39 ff2 fs1 fc0 sc0 ls4 wsb">different <span class="blank _7"> </span>geometries <span class="blank _7"> </span>in <span class="blank _7"> </span>terms <span class="blank _7"> </span>of <span class="blank _7"> </span>their <span class="blank _7"> </span>eccentricity, <span class="blank _7"> </span>height, <span class="blank _7"> </span>and <span class="blank _7"> </span>depth <span class="blank _7"> </span>of </div><div class="t m0 x5 h4 y3a ff2 fs1 fc0 sc0 ls4 wsb">installation. </div><div class="t m0 x5 h8 y3b ff4 fs1 fc0 sc0 ls4 wsc">Keywords<span class="ff2 wsb">: CELERIS, energy focalization, sub<span class="blank _2"></span>merged lenses, wave energy<span class="blank _0"> </span>. </span></div><div class="t m0 x5 h4 y3c ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 h4 y3d ff2 fs1 fc0 sc0 ls4 wsb">Recibido: 15/01/2018 </div><div class="t m0 x5 h4 y3e ff2 fs1 fc0 sc0 ls4 wsb">Aceptado: 27/05/2019 </div><div class="t m0 xd h9 y3f ff4 fs4 fc0 sc0 ls4 wsb"> </div><div class="t m0 xd h9 y40 ff4 fs4 fc0 sc0 ls4 wsb"> </div><div class="t m0 xe h9 y41 ff4 fs4 fc0 sc0 ls4 wsd">Introducción<span class="blank"> </span><span class="ff2 wsb"> </span></div><div class="t m0 xd h9 y42 ff4 fs4 fc0 sc0 ls4 wsb"> </div><div class="t m0 xd h9 y43 ff4 fs4 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 h4 y44 ff2 fs1 fc0 sc0 ls4 wsb">La <span class="blank _f"> </span>eficiencia <span class="blank _e"> </span>de <span class="blank _f"> </span>los<span class="blank _0"> </span> <span class="blank _f"> </span>lentes <span class="blank _e"> </span>s<span class="blank _0"> </span>umergidos <span class="blank _f"> </span>para <span class="blank _e"> </span>foca<span class="blank _0"> </span>lizar <span class="blank _f"> </span>la <span class="blank _f"> </span>energía <span class="blank _e"> </span>del<span class="blank _0"> </span> <span class="blank _f"> </span>oleaje </div><div class="t m0 x5 h4 y45 ff2 fs1 fc0 sc0 ls4 wsb">ha <span class="blank _d"> </span>sido <span class="blank _d"> </span>ma<span class="blank _0"> </span>teria <span class="blank _d"> </span>de <span class="blank _e"> </span>estudio <span class="blank _d"> </span>por <span class="blank _e"> </span>matemáticos <span class="blank _d"> </span>e <span class="blank _d"> </span>ingeniero<span class="blank _0"> </span>s <span class="blank _e"> </span>desde <span class="blank _e"> </span>hace <span class="blank _d"> </span>más </div><div class="t m0 x5 h4 y46 ff2 fs1 fc0 sc0 ls4 wsb">de <span class="blank _b"> </span>30 <span class="blank _9"> </span>años<span class="lsa">; <span class="blank _b"> </span></span>diversas <span class="blank _b"> </span>formas <span class="blank _9"> </span>geométricas <span class="blank _b"> </span>se <span class="blank _b"> </span>han <span class="blank _b"> </span>investi<span class="blank _2"></span>gad<span class="ls3 wsa">o,</span> <span class="blank _b"> </span>con <span class="blank _9"> </span>la </div><div class="t m0 x5 h4 y47 ff2 fs1 fc0 sc0 ls4 wsb">finalidad <span class="blank _c"> </span>de <span class="blank _7"> </span>evaluar <span class="blank _7"> </span>su <span class="blank _7"> </span>capacidad <span class="blank _c"> </span>para <span class="blank _7"> </span>amplificar <span class="blank _c"> </span>el <span class="blank _7"> </span>oleaje <span class="blank _7"> </span>en <span class="blank _7"> </span>un <span class="blank _c"> </span>punto </div><div class="t m0 x5 h4 y48 ff2 fs1 fc0 sc0 ls4 wsb">determinado <span class="blank _a"> </span>(punto <span class="blank _5"> </span>focal), <span class="blank _a"> </span>y <span class="blank _5"> </span>poder <span class="blank _5"> </span>ofrecer <span class="blank _11"> </span>una <span class="blank _a"> </span>herramienta <span class="blank _11"> </span>útil <span class="blank _11"> </span>en </div><div class="t m0 x5 h4 y49 ff2 fs1 fc0 sc0 ls4 wsb">términos de captación de energía y de protección costera. </div><div class="t m0 x5 h4 y4a ff2 fs1 fc0 sc0 ls4 wsb">Los <span class="blank _f"> </span>primeros <span class="blank _f"> </span>estudios <span class="blank _f"> </span>teóricos <span class="blank _f"> </span>y <span class="blank _10"> </span>exp<span class="blank _2"></span>erimental<span class="blank _2"></span>es <span class="blank _f"> </span>involucraron <span class="blank _f"> </span>un <span class="blank _f"> </span>lente <span class="blank _f"> </span>de<span class="blank _0"> </span> </div><div class="t m0 x5 h4 y4b ff2 fs1 fc0 sc0 ls4 wsb">tipo <span class="blank _12"> </span>Fresnel <span class="blank _12"> </span>para <span class="blank _12"> </span>producir <span class="blank _12"> </span>un <span class="blank _12"> </span>cambi<span class="blank _0"> </span>o <span class="blank _12"> </span>de <span class="blank _12"> </span>fase <span class="blank _12"> </span>no <span class="blank _13"> </span>uniforme <span class="blank _12"> </span>en <span class="blank _12"> </span>una <span class="blank _12"> </span>ola </div><div class="t m0 x5 h4 y4c ff2 fs1 fc0 sc0 ls4 wsb">divergente <span class="blank _3"> </span>para <span class="blank _4"> </span>transformarla <span class="blank _3"> </span>en <span class="blank _4"> </span>una <span class="blank _3"> </span>ola <span class="blank _4"> </span>convergente <span class="blank _3"> </span>(Mehlum <span class="blank _3"> </span>& </div><div class="t m0 x5 h4 y4d ff2 fs1 fc0 sc0 ls4 wsb">Stamnes, <span class="blank _f"> </span>1<span class="blank _0"> </span>987; <span class="blank _10"> </span>Stamnes, <span class="blank _f"> </span>L<span class="blank _0"> </span>ovhaugen, <span class="blank _10"> </span>S<span class="blank _2"></span>pjelkavik, <span class="blank _14"> </span>Chiang, <span class="blank _10"> </span>& <span class="blank _14"> </span>Yue<span class="blank _0"> </span>, <span class="blank _14"> </span>1983). </div><div class="t m0 x5 h4 y4e ff2 fs1 fc0 sc0 ls4 wsb">Murashige <span class="blank _d"> </span>y <span class="blank _e"> </span>Kinoshita <span class="blank _e"> </span>(1992), <span class="blank _d"> </span>desarr<span class="blank _0"> </span>ollaron <span class="blank _d"> </span>un <span class="blank _e"> </span>estudio <span class="blank _d"> </span>co<span class="blank _0"> </span>mparativo <span class="blank _d"> </span>e<span class="blank _0"> </span>ntre </div><div class="t m0 x5 h4 y4f ff2 fs1 fc0 sc0 ls4 wsb">un <span class="blank _b"> </span>lente <span class="blank _b"> </span>de <span class="blank _b"> </span>tipo <span class="blank _b"> </span>Fresnel <span class="blank _b"> </span>y <span class="blank _b"> </span>un <span class="blank _b"> </span>lente <span class="blank _b"> </span>biconvexo, <span class="blank _b"> </span>ambos <span class="blank _b"> </span>con <span class="blank _6"> </span>un <span class="blank _b"> </span>perfil<span class="blank _2"></span> </div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y50 w1 ha" alt="" src="https://files.passeidireto.com/a7819761-5d32-42d7-a27f-74e36ab8e0ff/bg3.png"><div class="c x1 y1 w2 h2"><div class="t m0 x2 h3 y2 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y3 ff1 fs0 fc0 sc0 ls4 wsb"> </div></div><div class="c x4 y1 w3 h2"><div class="t m0 x3 h3 y4 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y5 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y6 ff1 fs0 fc0 sc0 ls4 wsb">2019, Instituto Mexican<span class="blank _0"> </span>o de Tecnología del Agua<span class="blank _1"> </span> </div><div class="t m0 x3 h3 y7 ff1 fs0 fc0 sc0 ls4 wsb">Open Access bajo la lic<span class="blank _0"> </span>encia CC BY<span class="blank _0"> </span>-<span class="ls5 ws0">NC</span>-SA 4.0 </div><div class="t m0 x3 h3 y8 ff1 fs0 fc0 sc0 ls4 ws1">(https://creativeco<span class="blank"> </span>mmons.org/licen<span class="blank"> </span>ses/by<span class="blank _0"> </span>-<span class="ls6 ws2">nc</span><span class="wsb">-sa/4.0/)<span class="blank _0"> </span> </span></div></div><div class="t m0 x5 h4 y9 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x6 h4 ya ff2 fs0 fc0 sc0 ls0 ws3">119<span class="fs1 ls4 wsb"> </span></div><div class="t m0 x5 h5 yb ff3 fs2 fc0 sc0 ls4 wsb">Tecnología y cien<span class="blank _2"></span>cias del<span class="blank _2"></span> agua<span class="ff2">, ISSN 20<span class="blank _2"></span>07-2422, 1<span class="blank _2"></span>0(6<span class="ls7 ws4">),</span> 117-146. DO<span class="blank _2"></span>I: 10.24850/j-t<span class="blank _2"></span>yca-201<span class="blank _2"></span>9-<span class="ls8 ws5">06</span>-05 </span></div><div class="t m0 x5 h4 yc ff2 fs1 fc0 sc0 ls4 wsb">construido <span class="blank _d"> </span>de <span class="blank _d"> </span>peque<span class="blank _0"> </span>ños <span class="blank _d"> </span>cilindros <span class="blank _d"> </span>para <span class="blank _e"> </span>disminuir <span class="blank _d"> </span>los <span class="blank _e"> </span>efectos <span class="blank _d"> </span>de <span class="blank _e"> </span>la <span class="blank _d"> </span>reflexión </div><div class="t m0 x5 h4 y2e ff2 fs1 fc0 sc0 ls4 wsb">del <span class="blank _10"> </span>oleaje. <span class="blank _10"> </span>Sus <span class="blank _10"> </span>resultados <span class="blank _10"> </span>demostraron <span class="blank _10"> </span>que <span class="blank _10"> </span>los <span class="blank _10"> </span>lentes <span class="blank _10"> </span>biconvexos <span class="blank _10"> </span>tienen </div><div class="t m0 x5 h4 y51 ff2 fs1 fc0 sc0 ls4 wsb">mejor <span class="blank _1"> </span>desempeño <span class="blank _1"> </span>que <span class="blank _d"> </span>los <span class="blank _0"> </span>len<span class="blank _0"> </span>tes <span class="blank _1"> </span>de <span class="blank _1"> </span>tip<span class="blank _0"> </span>o <span class="blank _1"> </span>Fresnel <span class="blank _1"> </span>y <span class="blank _d"> </span>que<span class="blank _0"> </span> <span class="blank _1"> </span>el <span class="blank _d"> </span>utilizar <span class="blank _1"> </span>el <span class="blank _1"> </span>arreglo </div><div class="t m0 x5 h4 y52 ff2 fs1 fc0 sc0 ls4 wsb">de pequeños cilindros como perfil mej<span class="blank _2"></span>ora la eficiencia. <span class="blank _0"> </span> </div><div class="t m0 x5 h4 y53 ff2 fs1 fc0 sc0 ls4 wsb">Una investigación <span class="blank _0"> </span>más re<span class="blank _0"> </span>ciente y <span class="blank _0"> </span>con <span class="blank _0"> </span>aportes más s<span class="blank _0"> </span>ignificativos al <span class="blank _0"> </span>presente </div><div class="t m0 x5 h4 y54 ff2 fs1 fc0 sc0 ls4 wsb">proyecto <span class="blank _8"> </span>fue <span class="blank _8"> </span>el <span class="blank _12"> </span>est<span class="blank _2"></span>udio <span class="blank _8"> </span>numérico <span class="blank _8"> </span>comparativo <span class="blank _8"> </span>entre <span class="blank _8"> </span>la <span class="blank _8"> </span>e<span class="blank _0"> </span>ficiencia <span class="blank _7"> </span>de<span class="blank _0"> </span> <span class="blank _8"> </span>un </div><div class="t m0 x5 h4 y55 ff2 fs1 fc0 sc0 ls4 wsb">lente <span class="blank _d"> </span>biconvexo <span class="blank _1"> </span>y <span class="blank _e"> </span>un <span class="blank _d"> </span>lente <span class="blank _1"> </span>e<span class="blank _0"> </span>líptico, <span class="blank _d"> </span>realizado <span class="blank _d"> </span>por <span class="blank _d"> </span>Griffiths <span class="blank _d"> </span>y <span class="blank _d"> </span>Porter <span class="blank _d"> </span>(2011). </div><div class="t m0 x5 h4 y56 ff2 fs1 fc0 sc0 ls4 wsb">En <span class="blank _14"> </span>este <span class="blank _10"> </span>trabajo <span class="blank _14"> </span>se <span class="blank _14"> </span>incluyó <span class="blank _10"> </span>una <span class="blank _f"> </span>re<span class="blank _0"> </span>gión <span class="blank _14"> </span>de <span class="blank _14"> </span>somer<span class="blank _0"> </span>amiento <span class="blank _14"> </span>alrededor <span class="blank _10"> </span>de <span class="blank _14"> </span>los </div><div class="t m0 x5 h4 y57 ff2 fs1 fc0 sc0 ls4 wsb">lentes <span class="blank _10"> </span>para <span class="blank _10"> </span>reducir <span class="blank _10"> </span>el <span class="blank _10"> </span>efecto<span class="blank _0"> </span> <span class="blank _10"> </span>de <span class="blank _10"> </span>la <span class="blank _10"> </span>difracción, <span class="blank _10"> </span>que <span class="blank _10"> </span>contribuye <span class="blank _10"> </span>de <span class="blank _10"> </span>manera </div><div class="t m0 x5 h4 y58 ff2 fs1 fc0 sc0 ls4 wsb">negativa <span class="blank _0"> </span>en <span class="blank _0"> </span>el <span class="blank _1"> </span>proceso <span class="blank _0"> </span>de <span class="blank _1"> </span>focalización, <span class="blank _1"> </span>y <span class="blank _0"> </span>se <span class="blank _1"> </span>utilizó <span class="blank _0"> </span>la <span class="blank _0"> </span>teoría <span class="blank _1"> </span>de <span class="blank _0"> </span>la <span class="blank _0"> </span>re<span class="blank _0"> </span>fracción </div><div class="t m0 x5 h4 y59 ff2 fs1 fc0 sc0 ls4 wsb">en <span class="blank _3"> </span>cónicas, <span class="blank _3"> </span>para <span class="blank _4"> </span>obtener <span class="blank _3"> </span>un <span class="blank _3"> </span>proceso <span class="blank _4"> </span>de <span class="blank _3"> </span>focalización <span class="blank _3"> </span>controlado <span class="blank _3"> </span>y<span class="blank _0"> </span> </div><div class="t m0 x5 h4 y5a ff2 fs1 fc0 sc0 ls4 wsb">predictivo. <span class="blank _0"> </span>Ya <span class="blank _0"> </span>que <span class="blank _0"> </span>esta <span class="blank _0"> </span>teoría <span class="blank _0"> </span>establece <span class="blank _0"> </span>que <span class="blank _0"> </span>cualquier <span class="blank _0"> </span>haz <span class="blank _0"> </span>de <span class="blank _0"> </span>luz <span class="blank _0"> </span>que <span class="blank _0"> </span>incida </div><div class="t m0 x5 h4 y5b ff2 fs1 fc0 sc0 ls4 wsb">de <span class="blank _d"> </span>forma <span class="blank _d"> </span>paralela <span class="blank _1"> </span>al <span class="blank _d"> </span>eje <span class="blank _d"> </span>óptico <span class="blank _d"> </span>de <span class="blank _d"> </span>un <span class="blank _d"> </span>elipsoide <span class="blank _1"> </span>con <span class="blank _d"> </span>un <span class="blank _d"> </span>índice <span class="blank _d"> </span>de <span class="blank _d"> </span>refracción </div><div class="t m0 x5 h4 y5c ff2 fs1 fc0 sc0 ls4 wsb">inverso <span class="blank _13"> </span>a <span class="blank _13"> </span>la <span class="blank _13"> </span>excentricidad <span class="blank _13"> </span>(<span class="ff3 ws7">n</span> <span class="blank _13"> </span>= <span class="blank _13"> </span>1/<span class="ff3 ls1">e</span>), <span class="blank"> </span>se <span class="blank _12"> </span>e<span class="blank _0"> </span>nfocará <span class="blank _13"> </span>en <span class="blank _13"> </span>el <span class="blank _12"> </span>segundo <span class="blank"> </span>foco </div><div class="t m0 x5 h4 y5d ff2 fs1 fc0 sc0 ls4 wsb">geométrico <span class="blank _1"> </span>del <span class="blank _1"> </span>elipsoide. <span class="blank _1"> </span>Los <span class="blank _d"> </span>autores <span class="blank _1"> </span>utilizaron <span class="blank _0"> </span>la <span class="blank _d"> </span>relación <span class="blank _1"> </span>entre <span class="blank _1"> </span>el <span class="blank _1"> </span>número </div><div class="t m0 x5 h4 y5e ff2 fs1 fc0 sc0 ls13 wse">de<span class="ls4 wsb"> <span class="blank _12"> </span>onda <span class="blank _12"> </span>y <span class="blank _12"> </span>el <span class="blank _12"> </span>índice <span class="blank _12"> </span>de <span class="blank _12"> </span>refracción <span class="blank _8"> </span>para <span class="blank _12"> </span>hacer <span class="blank _12"> </span>uso <span class="blank _12"> </span>de <span class="blank _12"> </span>este <span class="blank _12"> </span>principio <span class="blank _12"> </span>de </span></div><div class="t m0 x5 h4 y5f ff2 fs1 fc0 sc0 ls4 wsb">manera <span class="blank _d"> </span>que <span class="blank _d"> </span><span class="ff3 ws7">n</span><span class="lsb"> <span class="lsc">= <span class="blank _d"> </span></span></span><span class="ff3 ws7">k</span><span class="fs2 wsf v3">2</span><span class="ws7">/<span class="ff3 ls3">k</span><span class="fs2 ls2 v3">1</span></span> <span class="blank _d"> </span>= <span class="blank _d"> </span>1/<span class="ff3 ls1">e</span>, <span class="blank _d"> </span>en <span class="blank _d"> </span>donde <span class="blank _d"> </span><span class="ff3 ws7">n</span> <span class="blank _d"> </span>es <span class="blank _d"> </span>el <span class="blank _d"> </span>índice <span class="blank _d"> </span>de <span class="blank _d"> </span>refracción <span class="blank _d"> </span><span class="ls14">y <span class="blank _e"> </span><span class="ff3 ls3">k</span><span class="fs2 ls15 v3">2 <span class="blank _1"> </span></span><span class="ls16">= </span></span></div><div class="t m0 x5 hb y60 ff2 fs1 fc0 sc0 ls1">2<span class="ff6 lsc">\uf050</span><span class="ls4 ws7">/<span class="ff3 lsd">L</span><span class="fs2 ls2 v3">2</span></span><span class="lse wsb"> <span class="ls14">y <span class="blank _f"> </span><span class="ff3 ls3">k</span><span class="fs2 ls2 v3">1</span><span class="ls4"> <span class="blank _14"> </span>= <span class="blank _14"> </span>2<span class="blank _0"> </span><span class="ff6 lsc">\uf050</span><span class="ws7">/<span class="ff3">L</span><span class="fs2 wsf v3">1</span><span class="ff7 ws10">\ue603</span></span>represent<span class="blank _2"></span>an <span class="blank _f"> </span>e<span class="blank _0"> </span>l <span class="blank _14"> </span>número <span class="blank _14"> </span>de <span class="blank _14"> </span>onda <span class="blank _14"> </span>por <span class="blank _14"> </span>encima <span class="blank _f"> </span>del <span class="blank _10"> </span>lente </span></span></span></div><div class="t m0 x5 h4 y61 ff2 fs1 fc0 sc0 ls4 wsb">elíptico y <span class="blank _0"> </span>fuera de <span class="blank _1"> </span>éste, re<span class="blank _0"> </span>spectivamente. <span class="blank _0"> </span><span class="ff3 ls3">L</span><span class="fs2 ls15 v3">2 </span><span class="ls14">y <span class="blank _0"> </span><span class="ff3 ls3">L</span><span class="fs2 ls2 v3">1</span></span> <span class="blank _0"> </span>representan la longitud <span class="blank _0"> </span>de </div><div class="t m0 x5 h4 y62 ff2 fs1 fc0 sc0 ls4 wsb">onda <span class="blank _10"> </span>obtenida <span class="blank _14"> </span>e<span class="blank _0"> </span>n <span class="blank _10"> </span>la <span class="blank _10"> </span>profundidad <span class="blank _10"> </span>encima <span class="blank _10"> </span>del <span class="blank _10"> </span>lente <span class="blank _10"> </span>(<span class="ff3 ws7">h</span><span class="fs2 ls2 v3">2</span>) <span class="blank _10"> </span>y <span class="blank _10"> </span>fuera <span class="blank _10"> </span>del <span class="blank _10"> </span>lente </div><div class="t m0 x5 h4 y63 ff2 fs1 fc0 sc0 ls4 ws7">(<span class="ff3">h</span><span class="fs2 ls2 v3">1</span><span class="wsb">), <span class="blank _d"> </span>respectivamente; <span class="blank _e"> </span><span class="ff3 ls1">e <span class="blank _d"> </span></span>representa <span class="blank _e"> </span>la <span class="blank _d"> </span>excentricidad, <span class="blank _d"> </span>la <span class="blank _e"> </span>cual <span class="blank _d"> </span>se <span class="blank _e"> </span>determina </span></div><div class="t m0 x5 h4 y64 ff2 fs1 fc0 sc0 ls4 wsb">a <span class="blank _e"> </span>partir <span class="blank _f"> </span>de <span class="blank _e"> </span>la <span class="blank _e"> </span>re<span class="blank _0"> </span>lación <span class="blank _f"> </span>entre <span class="blank _e"> </span>el <span class="blank _f"> </span>semieje <span class="blank _e"> </span>mayor<span class="blank _0"> </span> <span class="blank _e"> </span><span class="ff3 ws7">a</span> <span class="blank _f"> </span>y <span class="blank _e"> </span>semieje <span class="blank _f"> </span>menor <span class="blank _f"> </span><span class="ff3 ws7">b</span> <span class="blank _e"> </span>de <span class="blank _e"> </span>la </div><div class="t m0 x5 h4 y65 ff2 fs1 fc0 sc0 ls4 wsb">siguiente manera: </div><div class="t m0 x5 h4 y66 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 hc y67 ff7 fs1 fc0 sc0 ls4 ws11">\ued41<span class="blank _12"> </span>\uf34c<span class="blank"> </span><span class="ws10 v4">\uf3a7</span><span class="ws12">\ue973<span class="blank"> </span>\uf346<span class="blank"> </span><span class="fs5 lsf v5">\uf1d5</span><span class="fs6 v6">\uf22e</span></span></div><div class="t m0 xf hd y68 ff7 fs5 fc0 sc0 ls10">\uf1d4<span class="fs6 ls11 v7">\uf22e</span><span class="ff2 fs1 ls14 wsb v8"> <span class="blank _0"> </span> <span class="ls4">(1) </span></span></div><div class="t m0 x5 h4 y69 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 h4 y6a ff2 fs1 fc0 sc0 ls4 wsb">Por <span class="blank _5"> </span>lo <span class="blank _15"> </span>tanto, <span class="blank _11"> </span>para <span class="blank _15"> </span>una <span class="blank _5"> </span>frecuencia <span class="blank _5"> </span>determinada <span class="blank _5"> </span>y <span class="blank _5"> </span>pa<span class="blank _0"> </span>rtiendo <span class="blank _5"> </span>de <span class="blank _5"> </span>una </div><div class="t m0 x5 h4 y6b ff2 fs1 fc0 sc0 ls4 wsb">profundidad <span class="blank _14"> </span><span class="ff3 ws7">h</span><span class="fs2 ls15 v3">1 <span class="blank _10"> </span></span><span class="ls14">y <span class="blank _10"> </span></span><span class="ff3 ws7">h</span><span class="fs2 ls12 v3">2</span> <span class="blank _14"> </span>conocidas, <span class="blank _10"> </span>los <span class="blank _14"> </span>a<span class="blank _0"> </span>utores <span class="blank _10"> </span>determinaron <span class="blank _14"> </span>la <span class="blank _10"> </span>excentricidad </div><div class="t m0 x5 h4 y6c ff2 fs1 fc0 sc0 ls4 wsb">necesaria <span class="blank _c"> </span>para <span class="blank _7"> </span>obtener <span class="blank _7"> </span>una <span class="blank _7"> </span>convergencia <span class="blank _c"> </span>de<span class="blank _0"> </span>l <span class="blank _7"> </span>oleaje <span class="blank _c"> </span>e<span class="blank _0"> </span>n <span class="blank _7"> </span>el <span class="blank _c"> </span>segundo <span class="blank _7"> </span>foco </div><div class="t m0 x5 h4 y6d ff2 fs1 fc0 sc0 ls4 wsb">geométrico <span class="blank _16"> </span>del <span class="blank _16"> </span>lente <span class="blank _16"> </span>elíptico. <span class="blank _15"> </span>Sus <span class="blank _17"> </span>resultados <span class="blank _15"> </span>nu<span class="blank _0"> </span>méricos <span class="blank _16"> </span>describieron </div><div class="t m0 x5 h4 y6e ff2 fs1 fc0 sc0 ls4 wsb">adecuadamente <span class="blank _12"> </span>lo <span class="blank _13"> </span>establecido <span class="blank _12"> </span>por <span class="blank _12"> </span>la <span class="blank _13"> </span>teoría <span class="blank _12"> </span>de <span class="blank _12"> </span>refracción <span class="blank _13"> </span>en <span class="blank _12"> </span>cón<span class="blank _0"> </span>icas <span class="blank _12"> </span>y<span class="blank _0"> </span> </div><div class="t m0 x5 h4 y6f ff2 fs1 fc0 sc0 ls4 wsb">demostraron <span class="blank _12"> </span>que <span class="blank _12"> </span>los <span class="blank _12"> </span>lentes <span class="blank _13"> </span>elípticos <span class="blank _12"> </span>son <span class="blank _12"> </span>más <span class="blank _12"> </span>e<span class="blank _0"> </span>ficientes <span class="blank _12"> </span>que <span class="blank _12"> </span>los <span class="blank _12"> </span>lentes </div><div class="t m0 x5 h4 y70 ff2 fs1 fc0 sc0 ls4 wsb">biconvexos. <span class="blank _1"> </span>Con <span class="blank _1"> </span>base <span class="blank _d"> </span>en <span class="blank _1"> </span>las <span class="blank _1"> </span>conclusiones <span class="blank _1"> </span>de <span class="blank _d"> </span>los <span class="blank _0"> </span>trabajos <span class="blank _1"> </span>a<span class="blank _0"> </span>ntes <span class="blank _1"> </span>descritos <span class="blank _1"> </span>y </div><div class="t m0 x5 h4 y71 ff2 fs1 fc0 sc0 ls4 wsb">con <span class="blank _14"> </span>la <span class="blank _10"> </span>finalidad <span class="blank _14"> </span>de <span class="blank _10"> </span>establecer <span class="blank _14"> </span>una <span class="blank _14"> </span>herramienta <span class="blank _14"> </span>a<span class="blank _0"> </span>decuada <span class="blank _14"> </span>para <span class="blank _10"> </span>enfocar <span class="blank _14"> </span>la </div><div class="t m0 x5 h4 y72 ff2 fs1 fc0 sc0 ls4 wsb">energía <span class="blank _e"> </span>del <span class="blank _d"> </span>oleaje, <span class="blank _e"> </span>se <span class="blank _e"> </span>tomaron <span class="blank _e"> </span>en <span class="blank _e"> </span>cuenta <span class="blank _d"> </span>estructuras <span class="blank _d"> </span>e<span class="blank _0"> </span>lípticas <span class="blank _d"> </span>su<span class="blank _0"> </span>mergidas </div><div class="t m0 x5 h4 y73 ff2 fs1 fc0 sc0 ls4 wsb">debido <span class="blank _10"> </span>a <span class="blank _c"> </span>que <span class="blank _c"> </span>son <span class="blank _7"> </span>más <span class="blank _10"> </span>eficientes <span class="blank _c"> </span>que <span class="blank _c"> </span>los <span class="blank _c"> </span>lentes <span class="blank _c"> </span>biconvexos <span class="blank _c"> </span>y <span class="blank _c"> </span>Fresnel, <span class="blank _c"> </span>y </div><div class="t m0 x5 h4 y74 ff2 fs1 fc0 sc0 ls4 wsb">también, <span class="blank _8"> </span>para <span class="blank _8"> </span>poder <span class="blank _12"> </span>hacer <span class="blank _8"> </span>uso <span class="blank _8"> </span>de <span class="blank _12"> </span>la <span class="blank _7"> </span>ley <span class="blank _12"> </span>de <span class="blank _8"> </span>refracción <span class="blank _8"> </span>en <span class="blank _8"> </span>cónicas. <span class="blank _8"> </span>Sin </div><div class="t m0 x5 h4 y75 ff2 fs1 fc0 sc0 ls4 wsb">embargo, quedan preguntas por <span class="blank _0"> </span>resolver, <span class="blank _0"> </span>pues para <span class="blank _0"> </span>un índice de <span class="blank _0"> </span>refracció<span class="ls13">n </span></div><div class="t m0 x5 h4 y76 ff2 fs1 fc0 sc0 ls4 wsb">conocido, <span class="blank _f"> </span>determinado <span class="blank _14"> </span>por <span class="blank _f"> </span>el <span class="blank _14"> </span>cambio <span class="blank _f"> </span>en <span class="blank _14"> </span>profundidad <span class="blank _f"> </span>entre <span class="blank _10"> </span><span class="ff3">h</span></div><div class="t m0 x10 he y77 ff2 fs2 fc0 sc0 ls15 wsb">1 <span class="blank _f"> </span><span class="fs1 ls14 v9">y <span class="blank _14"> </span><span class="ff3 ls4 ws7">h</span></span><span class="ls4 wsf">2<span class="fs1 wsb v9"> <span class="blank _f"> </span>existe </span></span></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf4" class="pf w0 h0" data-page-no="4"><div class="pc pc4 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/a7819761-5d32-42d7-a27f-74e36ab8e0ff/bg4.png"><div class="c x1 y1 w2 h2"><div class="t m0 x2 h3 y2 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y3 ff1 fs0 fc0 sc0 ls4 wsb"> </div></div><div class="c x4 y1 w3 h2"><div class="t m0 x3 h3 y4 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y5 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y6 ff1 fs0 fc0 sc0 ls4 wsb">2019, Instituto Mexican<span class="blank _0"> </span>o de Tecnología del Agua<span class="blank _1"> </span> </div><div class="t m0 x3 h3 y7 ff1 fs0 fc0 sc0 ls4 wsb">Open Access bajo la lic<span class="blank _0"> </span>encia CC BY<span class="blank _0"> </span>-<span class="ls5 ws0">NC</span>-SA 4.0 </div><div class="t m0 x3 h3 y8 ff1 fs0 fc0 sc0 ls4 ws1">(https://creativeco<span class="blank"> </span>mmons.org/licen<span class="blank"> </span>ses/by<span class="blank _0"> </span>-<span class="ls6 ws2">nc</span><span class="wsb">-sa/4.0/)<span class="blank _0"> </span> </span></div></div><div class="t m0 x5 h4 y9 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x6 h4 ya ff2 fs0 fc0 sc0 ls0 ws3">120<span class="fs1 ls4 wsb"> </span></div><div class="t m0 x5 h5 yb ff3 fs2 fc0 sc0 ls4 wsb">Tecnología y cien<span class="blank _2"></span>cias del<span class="blank _2"></span> agua<span class="ff2">, ISSN 20<span class="blank _2"></span>07-2422, 1<span class="blank _2"></span>0(6<span class="ls7 ws4">),</span> 117-146. DO<span class="blank _2"></span>I: 10.24850/j-t<span class="blank _2"></span>yca-201<span class="blank _2"></span>9-<span class="ls8 ws5">06</span>-05 </span></div><div class="t m0 x5 h4 yc ff2 fs1 fc0 sc0 ls4 wsb">una <span class="blank _14"> </span>ga<span class="blank _0"> </span>ma <span class="blank _10"> </span>innumerable <span class="blank _14"> </span>de <span class="blank _10"> </span>posibilidades <span class="blank _10"> </span>para <span class="blank _10"> </span>establecer <span class="blank _10"> </span>la <span class="blank _14"> </span>e<span class="blank _0"> </span>xcentricidad, </div><div class="t m0 x5 h4 y2e ff2 fs1 fc0 sc0 ls4 wsb">ya <span class="blank _d"> </span>que <span class="blank _1"> </span>tanto <span class="blank _d"> </span>el <span class="blank _d"> </span>semieje <span class="blank _d"> </span>menor <span class="blank _d"> </span><span class="ff3 ws7">b</span> <span class="blank _d"> </span>como <span class="blank _d"> </span>el <span class="blank _d"> </span>semieje <span class="blank _1"> </span>mayor<span class="blank _0"> </span> <span class="blank _d"> </span><span class="ff3 ws7">a</span>, <span class="blank _1"> </span>pueden <span class="blank _d"> </span>tomar </div><div class="t m0 x5 h4 y51 ff2 fs1 fc0 sc0 ls4 wsb">una <span class="blank _14"> </span>infinidad <span class="blank _10"> </span>de <span class="blank _10"> </span>valores <span class="blank _10"> </span>siempre <span class="blank _14"> </span>y <span class="blank _10"> </span>cuando <span class="blank _10"> </span>su <span class="blank _10"> </span>proporción <span class="blank _14"> </span>sea <span class="blank _10"> </span>siempre <span class="blank _10"> </span>la </div><div class="t m0 x5 h4 y52 ff2 fs1 fc0 sc0 ls4 wsb">misma <span class="blank _e"> </span>para <span class="blank _e"> </span>mantener <span class="blank _e"> </span>la <span class="blank _e"> </span>excentricidad <span class="blank _e"> </span>constante. <span class="blank _e"> </span>Y <span class="blank _f"> </span>de <span class="blank _e"> </span>manera <span class="blank _e"> </span>inversa, <span class="blank _e"> </span>a </div><div class="t m0 x5 h4 y78 ff2 fs1 fc0 sc0 ls4 wsb">partir <span class="blank _13"> </span>de <span class="blank"> </span>una <span class="blank _13"> </span>excentricidad <span class="blank"> </span>conocida <span class="blank _13"> </span>existe <span class="blank"> </span>un<span class="blank _2"></span>a <span class="blank"> </span>gama <span class="blank"> </span>innu<span class="blank _2"></span>merable <span class="blank"> </span>d<span class="blank _2"></span>e </div><div class="t m0 x5 h4 y79 ff2 fs1 fc0 sc0 ls4 wsb">posibilidades <span class="blank _12"> </span>para <span class="blank _12"> </span>establecer <span class="blank _12"> </span>el <span class="blank _12"> </span>índice <span class="blank _12"> </span>de <span class="blank _12"> </span>refracción <span class="blank _12"> </span><span class="ff3 ws7">n</span>, <span class="blank _12"> </span>ya <span class="blank _12"> </span>que <span class="blank _12"> </span><span class="ff3 ws7">h</span><span class="fs2 ls15 v3">1 <span class="blank _12"> </span></span><span class="ls14">y <span class="blank _12"> </span></span><span class="ff3 ws7">h</span><span class="fs2 ls2 v3">2</span> </div><div class="t m0 x5 h4 y7a ff2 fs1 fc0 sc0 ls4 wsb">pueden <span class="blank _9"> </span>tomar <span class="blank _9"> </span>una<span class="blank _0"> </span> <span class="blank _9"> </span>infinidad <span class="blank _b"> </span>de <span class="blank _9"> </span>valores <span class="blank _9"> </span>siempre <span class="blank _b"> </span>y <span class="blank _9"> </span>cuando <span class="blank _9"> </span>mantengan </div><div class="t m0 x5 h4 y7b ff2 fs1 fc0 sc0 ls4 wsb">constante <span class="blank"> </span>su <span class="blank"> </span>proporción <span class="blank"> </span>para <span class="blank"> </span>o<span class="blank _0"> </span>btener <span class="blank"> </span>el<span class="blank _0"> </span> <span class="blank"> </span><span class="ff3 ws7">n</span> <span class="blank _9"> </span>deseado. <span class="blank"> </span>Para <span class="blank"> </span>re<span class="blank _0"> </span>solver <span class="blank"> </span>tal </div><div class="t m0 x5 h4 y7c ff2 fs1 fc0 sc0 ls4 wsb">incertidumbre, <span class="blank _12"> </span>en <span class="blank _12"> </span>este <span class="blank _13"> </span>artículo <span class="blank _12"> </span>se <span class="blank _12"> </span>presenta <span class="blank _13"> </span>la <span class="blank _12"> </span>evaluación <span class="blank _12"> </span>numérica <span class="blank _12"> </span>del </div><div class="t m0 x5 h4 y7d ff2 fs1 fc0 sc0 ls4 wsb">desempeño <span class="blank _f"> </span>de <span class="blank _e"> </span>los <span class="blank _f"> </span>lentes <span class="blank _f"> </span>elípticos <span class="blank _f"> </span>sumergidos <span class="blank _f"> </span>para <span class="blank _e"> </span>diferentes <span class="blank _f"> </span>pará<span class="blank _0"> </span>metros </div><div class="t m0 x5 h4 y7e ff2 fs1 fc0 sc0 ls4 wsb">geométricos, <span class="blank _d"> </span>como <span class="blank _1"> </span>la <span class="blank _d"> </span>excentricidad <span class="blank _d"> </span>y <span class="blank _1"> </span>e<span class="blank _0"> </span>l <span class="blank _d"> </span>tamañ<span class="blank _2"></span>o <span class="blank _d"> </span>de <span class="blank _d"> </span>los <span class="blank _1"> </span>semiejes, <span class="blank _d"> </span>así <span class="blank _d"> </span>como </div><div class="t m0 x5 h4 y7f ff2 fs1 fc0 sc0 ls4 wsb">para distintos índices de refracción con respecto al oleaje incid<span class="blank _2"></span>ente.<span class="blank _0"> </span> </div><div class="t m0 x5 h4 y5b ff2 fs1 fc0 sc0 ls4 wsb">Este <span class="blank _10"> </span>trabajo <span class="blank _10"> </span><span class="ls17 ws13">se</span> <span class="blank _10"> </span>divid<span class="ls1">e <span class="blank _10"> </span></span>de <span class="blank _10"> </span>la <span class="blank _14"> </span>siguiente <span class="blank _10"> </span>forma<span class="blank _0"> </span><span class="lsa">: <span class="blank _10"> </span></span>se <span class="blank _10"> </span>describe <span class="blank _10"> </span>la <span class="blank _10"> </span>metodología </div><div class="t m0 x5 h4 y5c ff2 fs1 fc0 sc0 ls4 wsb">que se utilizó para <span class="blank _0"> </span>llevar a cabo la <span class="blank _0"> </span>evaluación numérica del lente <span class="blank _0"> </span>elíptico, la </div><div class="t m0 x5 h4 y5d ff2 fs1 fc0 sc0 ls4 wsb">cual <span class="blank _e"> </span>fue <span class="blank _f"> </span>realizada <span class="blank _f"> </span>por <span class="blank _f"> </span>medio <span class="blank _f"> </span>de <span class="blank _f"> </span>un <span class="blank _e"> </span>modelo <span class="blank _f"> </span>de <span class="blank _f"> </span>oleaje <span class="blank _f"> </span>de <span class="blank _f"> </span>tipo <span class="blank _e"> </span>B<span class="blank _0"> </span>oussinesq, </div><div class="t m0 x5 h4 y5e ff2 fs1 fc0 sc0 ls13 wse">que<span class="ls4 wsb"> <span class="blank _8"> </span>fue <span class="blank _8"> </span>validado <span class="blank _8"> </span>a <span class="blank _8"> </span>partir <span class="blank _8"> </span>de <span class="blank _8"> </span>pruebas <span class="blank _8"> </span>de <span class="blank _8"> </span>laboratorio <span class="blank _8"> </span>en <span class="blank _7"> </span>el <span class="blank _8"> </span>Estanque <span class="blank _8"> </span>de </span></div><div class="t m0 x5 h4 y5f ff2 fs1 fc0 sc0 ls4 wsb">Oleaje <span class="blank _11"> </span>de <span class="blank _5"> </span>la <span class="blank _11"> </span>Facultad <span class="blank _11"> </span>de <span class="blank _5"> </span>Ingeniería <span class="blank _5"> </span>de <span class="blank _11"> </span>la <span class="blank _11"> </span>UNAM <span class="blank _5"> </span>(EOFI<span class="blank _0"> </span>-UNAM). <span class="blank _11"> </span>Los </div><div class="t m0 x5 h4 y60 ff2 fs1 fc0 sc0 ls4 wsb">resultados <span class="blank _1"> </span>acer<span class="blank _0"> </span>ca <span class="blank _d"> </span>de <span class="blank _1"> </span>la <span class="blank _d"> </span>validación <span class="blank _1"> </span>del <span class="blank _d"> </span>modelo <span class="blank _d"> </span>numérico <span class="blank _d"> </span>de <span class="blank _d"> </span>Boussi<span class="blank _2"></span>nesq<span class="blank _0"> </span>, <span class="blank _d"> </span>así </div><div class="t m0 x5 h4 y80 ff2 fs1 fc0 sc0 ls4 wsb">como <span class="blank _9"> </span>de <span class="blank _b"> </span>la <span class="blank _9"> </span>evaluación <span class="blank _b"> </span>numérica <span class="blank _9"> </span>del <span class="blank _b"> </span>desempeño <span class="blank _9"> </span>del <span class="blank _9"> </span>l<span class="blank _0"> </span>ente <span class="blank _9"> </span>elíptico <span class="blank _b"> </span>en </div><div class="t m0 x5 h4 y81 ff2 fs1 fc0 sc0 ls4 wsb">función <span class="blank _d"> </span>de <span class="blank _e"> </span>sus <span class="blank _d"> </span>parámetros <span class="blank _e"> </span>geométricos <span class="blank _d"> </span>y <span class="blank _d"> </span>e<span class="blank _0"> </span>l <span class="blank _d"> </span>oleaje <span class="blank _d"> </span>inc<span class="blank _0"> </span>ident<span class="blank _0"> </span>e, <span class="blank _d"> </span>se <span class="blank _e"> </span>muestran </div><div class="t m0 x5 h4 y82 ff2 fs1 fc0 sc0 ls4 wsb">en <span class="blank _e"> </span>otra <span class="blank _f"> </span>sección. <span class="blank _e"> </span>Por <span class="blank _f"> </span>último, <span class="blank _e"> </span>se <span class="blank _f"> </span>describen <span class="blank _e"> </span>las <span class="blank _f"> </span>conclusiones <span class="blank _e"> </span>más <span class="blank _f"> </span>relevantes </div><div class="t m0 x5 h4 y83 ff2 fs1 fc0 sc0 ls4 wsb">de la presente investigación. </div><div class="t m0 xd h9 y84 ff4 fs4 fc0 sc0 ls4 wsb"> </div><div class="t m0 xd h9 y85 ff4 fs4 fc0 sc0 ls4 wsb"> </div><div class="t m0 x11 h9 y86 ff4 fs4 fc0 sc0 ls4 wsb">Materiales y métod<span class="blank _0"> </span>os </div><div class="t m0 xd h9 y87 ff4 fs4 fc0 sc0 ls4 wsb"> </div><div class="t m0 xd h9 y88 ff4 fs4 fc0 sc0 ls4 wsb"> </div><div class="t m0 x12 h6 y89 ff4 fs3 fc0 sc0 ls4 wsb">Modelo numéri<span class="blank _2"></span>co </div><div class="t m0 xd h6 y8a ff4 fs3 fc0 sc0 ls4 wsb"> </div><div class="t m0 xd h6 y8b ff4 fs3 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 h4 y8c ff2 fs1 fc0 sc0 ls4 wsb">Para <span class="blank _c"> </span>llevar <span class="blank _7"> </span>a <span class="blank _7"> </span>cabo <span class="blank _7"> </span>la <span class="blank _7"> </span>evaluación <span class="blank _7"> </span>numérica <span class="blank _7"> </span>del <span class="blank _7"> </span>desempeño <span class="blank _7"> </span>de <span class="blank _7"> </span>los <span class="blank _7"> </span>lentes </div><div class="t m0 x5 h4 y8d ff2 fs1 fc0 sc0 ls4 wsb">elípticos <span class="blank _16"> </span>se <span class="blank _17"> </span>implementó <span class="blank _17"> </span>un <span class="blank _17"> </span>modelo <span class="blank _17"> </span>de <span class="blank _17"> </span>oleaje <span class="blank _17"> </span>denomin<span class="blank _2"></span>ado <span class="blank _16"> </span>CELER<span class="blank _0"> </span>IS </div><div class="t m0 x5 h4 y8e ff2 fs1 fc0 sc0 ls4 wsb">(Tavakkol <span class="blank _f"> </span>& <span class="blank _f"> </span>Lynett, <span class="blank _f"> </span>2017), <span class="blank _f"> </span>el <span class="blank _f"> </span>cual <span class="blank _f"> </span>resuelve <span class="blank _f"> </span>las <span class="blank _f"> </span>ecuaciones <span class="blank _14"> </span>extendidas <span class="blank _f"> </span>de </div><div class="t m0 x5 h4 y8f ff2 fs1 fc0 sc0 ls4 wsb">Boussinesq <span class="blank _9"> </span>(Madsen <span class="blank _b"> </span>& <span class="blank _9"> </span>Sorensen, <span class="blank _b"> </span>1992). <span class="blank _9"> </span>Este <span class="blank _b"> </span>tipo <span class="blank _9"> </span>de <span class="blank _b"> </span>ecuaciones <span class="blank _9"> </span>son </div><div class="t m0 x5 h4 y90 ff2 fs1 fc0 sc0 ls4 wsb">capaces <span class="blank _1"> </span>de <span class="blank _1"> </span>resolver <span class="blank _1"> </span>los <span class="blank _1"> </span>proceso<span class="blank _0"> </span>s <span class="blank _1"> </span>físicos <span class="blank _0"> </span>de <span class="blank _d"> </span>refracción,<span class="blank _2"></span> <span class="blank _1"> </span>difracción, <span class="blank _1"> </span>reflexión,<span class="blank _0"> </span> </div><div class="t m0 x5 h4 y91 ff2 fs1 fc0 sc0 ls4 wsb">someramiento <span class="blank _10"> </span>e <span class="blank _10"> </span>interacciones <span class="blank _10"> </span>no <span class="blank _10"> </span>lineales <span class="blank _10"> </span>que <span class="blank _10"> </span>sufre <span class="blank _10"> </span>el <span class="blank _10"> </span>oleaje<span class="blank _0"> </span>, <span class="blank _c"> </span>ya <span class="blank _10"> </span>sea <span class="blank _10"> </span>en </div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf5" class="pf w0 h0" data-page-no="5"><div class="pc pc5 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y92 w4 hf" alt="" src="https://files.passeidireto.com/a7819761-5d32-42d7-a27f-74e36ab8e0ff/bg5.png"><div class="c x1 y1 w2 h2"><div class="t m0 x2 h3 y2 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y3 ff1 fs0 fc0 sc0 ls4 wsb"> </div></div><div class="c x4 y1 w3 h2"><div class="t m0 x3 h3 y4 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y5 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y6 ff1 fs0 fc0 sc0 ls4 wsb">2019, Instituto Mexican<span class="blank _0"> </span>o de Tecnología del Agua<span class="blank _1"> </span> </div><div class="t m0 x3 h3 y7 ff1 fs0 fc0 sc0 ls4 wsb">Open Access bajo la lic<span class="blank _0"> </span>encia CC BY<span class="blank _0"> </span>-<span class="ls5 ws0">NC</span>-SA 4.0 </div><div class="t m0 x3 h3 y8 ff1 fs0 fc0 sc0 ls4 ws1">(https://creativeco<span class="blank"> </span>mmons.org/licen<span class="blank"> </span>ses/by<span class="blank _0"> </span>-<span class="ls6 ws2">nc</span><span class="wsb">-sa/4.0/)<span class="blank _0"> </span> </span></div></div><div class="t m0 x5 h4 y9 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x6 h4 ya ff2 fs0 fc0 sc0 ls0 ws3">121<span class="fs1 ls4 wsb"> </span></div><div class="t m0 x5 h5 yb ff3 fs2 fc0 sc0 ls4 wsb">Tecnología y cien<span class="blank _2"></span>cias del<span class="blank _2"></span> agua<span class="ff2">, ISSN 20<span class="blank _2"></span>07-2422, 1<span class="blank _2"></span>0(6<span class="ls7 ws4">),</span> 117-146. DO<span class="blank _2"></span>I: 10.24850/j-t<span class="blank _2"></span>yca-201<span class="blank _2"></span>9-<span class="ls8 ws5">06</span>-05 </span></div><div class="t m0 x5 h4 yc ff2 fs1 fc0 sc0 ls4 wsb">aguas <span class="blank _d"> </span>poco <span class="blank _d"> </span>profundas <span class="blank _d"> </span>o <span class="blank _d"> </span>con <span class="blank _d"> </span>la <span class="blank _d"> </span>interacci<span class="blank _2"></span>ón <span class="blank _d"> </span>con <span class="blank _d"> </span>estructuras<span class="ls2b">, <span class="blank _d"> </span></span>por <span class="blank _d"> </span>lo <span class="blank _d"> </span>que <span class="blank _d"> </span>son </div><div class="t m0 x5 h4 y2e ff2 fs1 fc0 sc0 ls4 wsb">adecuadas <span class="blank _14"> </span>para <span class="blank _14"> </span>re<span class="blank _0"> </span>solver <span class="blank _14"> </span>proceso<span class="blank _0"> </span> <span class="blank _14"> </span>hidrodinámicos <span class="blank _14"> </span>costeros <span class="blank _10"> </span>(Nwogu, <span class="blank _f"> </span>19<span class="blank _0"> </span>93<span class="blank _0"> </span>; </div><div class="t m0 x5 h4 y51 ff2 fs1 fc0 sc0 ls4 wsb">Kirby, <span class="blank _10"> </span>2003; <span class="blank _c"> </span>Briganti<span class="lsa">, <span class="blank _c"> </span></span>Musumeci, <span class="blank _10"> </span>Bellotti, <span class="blank _10"> </span>Brocchini& <span class="blank _c"> </span>Foti, <span class="blank _c"> </span><span class="ls1 ws6">2004)</span>, <span class="blank _10"> </span>o <span class="blank _c"> </span>para </div><div class="t m0 x5 h4 y52 ff2 fs1 fc0 sc0 ls4 wsb">resolver <span class="blank _c"> </span>la <span class="blank _c"> </span>interacción <span class="blank _10"> </span>del <span class="blank _c"> </span>oleaje <span class="blank _c"> </span>con <span class="blank _7"> </span>estructuras <span class="blank _10"> </span>flotantes <span class="blank _c"> </span>o <span class="blank _c"> </span>sumergidas </div><div class="t m0 x5 h4 y78 ff2 fs1 fc0 sc0 ls4 wsb">(Prinos, <span class="blank _1"> </span>Avgeris, <span class="blank _1"> </span>& <span class="blank _d"> </span>Karambas, <span class="blank _1"> </span>2005<span class="blank _0"> </span>; <span class="blank _1"> </span>Fuhrman, <span class="blank _1"> </span>2005<span class="blank _0"> </span><span class="lsa">, <span class="blank _1"> </span></span>Bingham, <span class="blank _1"> </span>& <span class="blank _d"> </span>Madsen, </div><div class="t m0 x5 h4 y79 ff2 fs1 fc0 sc0 ls4 wsb">2005; Soare<span class="blank _0"> </span>s <span class="ls3">& <span class="blank _0"> </span></span>Mohapat<span class="blank _2"></span>ra, 2<span class="blank _0"> </span>015), así <span class="blank _0"> </span>como <span class="blank _0"> </span>en procesos <span class="blank _0"> </span>de <span class="blank _0"> </span>focalización d<span class="blank _0"> </span><span class="ls1">e </span></div><div class="t m0 x5 h4 y7a ff2 fs1 fc0 sc0 ls4 wsb">oleaje <span class="blank"> </span>(Tavakkol <span class="blank"> </span>& <span class="blank _9"> </span>Lynett, <span class="blank"> </span>2017). <span class="blank _9"> </span>Este <span class="blank _9"> </span>modelo <span class="blank"> </span>ha <span class="blank _9"> </span>sido <span class="blank"> </span>validado <span class="blank"> </span>para </div><div class="t m0 x5 h4 y7b ff2 fs1 fc0 sc0 ls4 wsb">distintos <span class="blank _8"> </span>casos <span class="blank _12"> </span>estándares <span class="blank _12"> </span>de <span class="blank _8"> </span>referencia, <span class="blank _8"> </span>como <span class="blank _12"> </span>el <span class="blank _12"> </span><span class="ff3 ws7">run-<span class="ls3b ws14">up</span></span> <span class="blank _12"> </span>del <span class="blank _8"> </span>oleaje <span class="blank _12"> </span>en </div><div class="t m0 x5 h4 y7c ff2 fs1 fc0 sc0 ls4 wsb">pendientes y en islas <span class="blank _0"> </span>cónicas, y en la <span class="blank _0"> </span>focalización del oleaje<span class="blank _0"> </span> con geometrías </div><div class="t m0 x5 h4 y7d ff2 fs1 fc0 sc0 ls4 wsb">circulares <span class="blank _f"> </span>(Tavak<span class="blank _0"> </span>kol <span class="blank _f"> </span>&<span class="blank _0"> </span> <span class="blank _14"> </span>Lynett, <span class="blank _14"> </span>2017).<span class="blank _0"> </span> <span class="blank _14"> </span>El <span class="blank _14"> </span>presente <span class="blank _10"> </span>trabajo <span class="blank _14"> </span>contribuye <span class="blank _14"> </span>a <span class="blank _10"> </span>la </div><div class="t m0 x5 h4 y7e ff2 fs1 fc0 sc0 ls4 wsb">validación del modelo CELERIS. </div><div class="t m0 x5 h4 y5a ff2 fs1 fc0 sc0 ls4 wsb">Las ecuaciones involucradas son: </div><div class="t m0 x5 h4 y93 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 hb y94 ff7 fs1 fc0 sc0 ls4">\ued37</div><div class="t m0 x13 h10 y95 ff7 fs5 fc0 sc0 ls18">\uf1e7<span class="fs1 ls4 ws15 v7">\uf345<span class="blank"> </span>\ued28<span class="blank _0"></span>\udb80\udddb\ued37<span class="blank _0"></span>\udb80\udddc<span class="blank _0"></span></span><span class="ls19">\uf1eb<span class="fs1 ls4 ws16 v7">\uf345<span class="blank"> </span>\ued29<span class="blank _0"></span>\udb80\udddb<span class="blank _0"></span>\ued37\udb80\udddc<span class="blank _0"></span></span><span class="ls1a">\uf1ec<span class="fs1 ls4 ws16 v7">\uf345<span class="blank"> </span>\ued35<span class="blank _0"></span><span class="ls1b va">\udb80\udddb</span><span class="ls1c">\ued37<span class="ls1d va">\udb80\udddc</span><span class="ls4 ws11">\uf34c<span class="blank"> </span>\ue972<span class="ff2 ls14 wsb"> <span class="ls4">(2)<span class="blank _0"> </span> </span></span></span></span></span></span></span></div><div class="t m0 x5 h4 y96 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 h11 y97 ff7 fs1 fc0 sc0 ls4 ws17">\ued37<span class="blank _12"> </span>\uf34c<span class="blank _8"> </span>\uf365<span class="blank"> </span><span class="vb">\ued44</span></div><div class="t m0 x14 hb y98 ff7 fs1 fc0 sc0 ls4">\ued32</div><div class="t m0 x14 h12 y99 ff7 fs1 fc0 sc0 ls1e">\ued33<span class="ls4 ws18 vc">\uf369<span class="blank"> </span>\ue7e1<span class="blank"> </span>\ued28<span class="blank _0"> </span></span><span class="ls1b vb">\udb80\udddb</span><span class="ls1c vc">\ued37</span><span class="ls1d vb">\udb80\udddc</span><span class="ls4 ws11 vc">\uf34c<span class="blank"> </span>\uf366<span class="blank _18"> </span><span class="vd">\ued32</span></span></div><div class="t m0 x15 hd y9a ff7 fs5 fc0 sc0 ls1f">\uf1c9<span class="fs6 ls4 ve">\uf22e</span></div><div class="t m0 x16 h13 y9b ff7 fs5 fc0 sc0 ls20">\uf1db<span class="fs1 ls21 v8">\uf345</span><span class="ls4 ws19 vf">\uf1da\uf1db<span class="blank _0"></span><span class="fs6 ve">\uf22e</span></span></div><div class="t m0 x17 hd y9b ff7 fs5 fc0 sc0 ls4">\uf136</div><div class="t m0 x18 hd y9c ff7 fs5 fc0 sc0 ls3c">\uf1c9\uf1ca</div><div class="t m0 xa h14 y9d ff7 fs5 fc0 sc0 ls22">\uf1db<span class="fs1 ls4 ws1a v10">\uf36a<span class="blank"> </span>\ue7e1<span class="blank"> </span>\ued29<span class="blank _1"> </span><span class="ls1b va">\udb80\udddb</span><span class="ls1c">\ued37<span class="ls1d va">\udb80\udddc</span><span class="ls4">\uf34c</span></span></span></div><div class="c x19 y9e w5 h15"><div class="t m0 x1a hb y9f ff7 fs1 fc0 sc0 ls4">\ueccf</div></div><div class="c x19 ya0 w5 h16"><div class="t m0 x1a hb ya1 ff7 fs1 fc0 sc0 ls4">\uecce</div></div><div class="c x19 ya2 w5 h17"><div class="t m0 x1a hb ya3 ff7 fs1 fc0 sc0 ls4">\uecce</div></div><div class="c x19 ya4 w5 h18"><div class="t m0 x1a hb ya5 ff7 fs1 fc0 sc0 ls4">\ueccd</div></div><div class="t m0 x1b hb ya6 ff7 fs1 fc0 sc0 ls4">\ued33</div><div class="t m0 x1c hd ya7 ff7 fs5 fc0 sc0 ls3c">\uf1c9\uf1ca</div><div class="t m0 x1d hd y80 ff7 fs5 fc0 sc0 ls4">\uf1db</div><div class="t m0 x1e hd ya8 ff7 fs5 fc0 sc0 ls23">\uf1ca<span class="fs6 ls4 ve">\uf22e</span></div><div class="t m0 x1f h13 ya9 ff7 fs5 fc0 sc0 ls24">\uf1db<span class="fs1 ls21 v8">\uf345</span><span class="ls4 ws19 vf">\uf1da\uf1db<span class="fs6 ve">\uf22e</span></span></div><div class="t m0 x20 hd ya9 ff7 fs5 fc0 sc0 ls4">\uf136</div><div class="c x19 y9e w5 h15"><div class="t m0 x21 hb y9f ff7 fs1 fc0 sc0 ls4">\uecd2</div></div><div class="c x19 ya0 w5 h16"><div class="t m0 x21 hb ya1 ff7 fs1 fc0 sc0 ls4">\uecd1</div></div><div class="c x19 ya2 w5 h17"><div class="t m0 x21 hb ya3 ff7 fs1 fc0 sc0 ls4">\uecd1</div></div><div class="c x19 ya4 w5 h18"><div class="t m0 x21 hb ya5 ff7 fs1 fc0 sc0 ls4">\uecd0</div></div><div class="t m0 x22 h19 y97 ff7 fs1 fc0 sc0 ls4 ws1b">\ue7e1<span class="blank"> </span>\ued35<span class="blank _0"></span>\udb80\udddb\ued37\udb80\udddc<span class="blank _12"> </span>\uf34c<span class="blank _8"> </span>\udb80\uddef<span class="blank _19"> </span><span class="v11">\ue972</span></div><div class="t m0 x23 hb yaa ff7 fs1 fc0 sc0 ls4 ws10">\ued43\ued44<span class="blank _0"></span>\ued56<span class="blank _2"></span><span class="fs5 ls25 v12">\uf1eb<span class="fs1 ls4 ws1c v7">\uf345<span class="blank"> </span>\uedf0<span class="blank _2"></span><span class="fs5 ls26 v12">\uf135<span class="fs1 ls4 ws16 v7">\uf345<span class="blank"> </span>\ued42</span></span></span></span></div><div class="t m0 x24 hd yab ff7 fs5 fc0 sc0 ls4">\uf135</div><div class="t m0 x23 hb yac ff7 fs1 fc0 sc0 ls4 ws10">\ued43\ued44<span class="blank _0"></span>\ued56<span class="blank _2"></span><span class="fs5 ls27 v12">\uf1ec<span class="fs1 ls4 ws16 v7">\uf345<span class="blank"> </span>\uedf0</span><span class="ls28">\uf136<span class="fs1 ls4 ws16 v7">\uf345<span class="blank"> </span>\ued42</span></span></span></div><div class="t m0 x24 h1a y62 ff7 fs5 fc0 sc0 ls29">\uf136<span class="fs1 lsc v13">\udb80\uddf0<span class="ff2 ls14 wsb"> <span class="ls4">(3) </span></span></span></div><div class="t m0 x5 h4 yad ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 h4 yae ff2 fs1 fc0 sc0 ls4 wsb">Donde <span class="blank _12"> </span><span class="ff3 ws7">U</span> <span class="blank _12"> </span>es <span class="blank _12"> </span>el <span class="blank _12"> </span>vector <span class="blank _12"> </span>de <span class="blank _12"> </span>variables <span class="blank _8"> </span>c<span class="blank _0"> </span>onservativas, <span class="blank _12"> </span><span class="ff3 ws7">F<span class="ff2">(</span><span class="ls2a">U</span></span>) <span class="blank _12"> </span>y <span class="blank _12"> </span><span class="ff3 ls1b">G</span><span class="ws7">(<span class="ff3">U</span></span><span class="lsa">) <span class="blank _12"> </span></span>son <span class="blank _12"> </span>los </div><div class="t m0 x5 h4 yaf ff2 fs1 fc0 sc0 ls4 wsb">vectores <span class="blank _10"> </span>del <span class="blank _c"> </span>flujo <span class="blank _10"> </span>advectivo <span class="blank _10"> </span>y <span class="blank _c"> </span><span class="ff3 ls2b">S</span><span class="ws7">(<span class="ff3">U</span></span><span class="lsa">) <span class="blank _10"> </span><span class="ls1 ws6">es<span class="blank _0"> </span></span><span class="ls2c"> <span class="ls1 ws6">el</span></span></span> <span class="blank _10"> </span>término <span class="blank _10"> </span>fuente <span class="blank _10"> </span>que <span class="blank _c"> </span>incluye <span class="blank _10"> </span>los </div><div class="t m0 x5 h4 yb0 ff2 fs1 fc0 sc0 ls4 wsb">términos dispersivos, la fricción y la información de <span class="blank _0"> </span>los cambios de fondo.<span class="blank _0"> </span> <span class="ff3 ws7">P</span> </div><div class="t m0 x5 h4 yb1 ff2 fs1 fc0 sc0 ls14 wsb">y <span class="blank _d"> </span><span class="ff3 ls3">Q</span><span class="ls4"> <span class="blank _1"> </span>representan <span class="blank _d"> </span>los <span class="blank _1"> </span>flujos <span class="blank _d"> </span>promediados <span class="blank _1"> </span>en<span class="blank _0"> </span> <span class="blank _d"> </span>la <span class="blank _1"> </span>vertical <span class="blank _1"> </span>e<span class="blank _0"> </span>n <span class="blank _1"> </span>dire<span class="blank _0"> </span>cciones <span class="blank _d"> </span><span class="ff3 ws7">x</span><span class="ls2d"> </span></span>y <span class="blank _1"> </span><span class="ff3 ls4 ws7">y</span><span class="lsa">, </span></div><div class="t m0 x5 h4 yb2 ff2 fs1 fc0 sc0 ls4 wsb">respectivamente. <span class="blank _d"> </span>Los <span class="blank _d"> </span>subíndices <span class="blank _d"> </span><span class="ff3 ws7">x</span><span class="lsb"> <span class="ls14">y <span class="blank _d"> </span><span class="ff3 ls2e">y</span></span></span> <span class="blank _e"> </span>representan <span class="blank _1"> </span>diferenciación <span class="blank _d"> </span>espacial<span class="blank _0"> </span>, </div><div class="t m0 x5 h4 yb3 ff2 fs1 fc0 sc0 ls4 wsb">y <span class="blank _1"> </span>el <span class="blank _1"> </span>subíndice <span class="blank _d"> </span><span class="ff3 ws7">t</span> <span class="blank _1"> </span>denota <span class="blank _1"> </span>diferenciación <span class="blank _1"> </span>te<span class="blank _0"> </span>mporal. <span class="blank _1"> </span>La <span class="blank _1"> </span>elevación <span class="blank _1"> </span>del <span class="blank _1"> </span>fondo <span class="blank _d"> </span>con </div><div class="t m0 x5 h4 yb4 ff2 fs1 fc0 sc0 ls4 wsb">respecto <span class="blank"> </span>al <span class="blank _13"> </span>datum <span class="blank"> </span>verti<span class="blank _2"></span>cal <span class="blank _13"> </span>está <span class="blank"> </span>representada <span class="blank"> </span>p<span class="blank _2"></span>or<span class="blank _0"> </span> <span class="blank"> </span><span class="ff3 ls1b">z</span><span class="lsa">, <span class="blank"> </span></span>y <span class="blank _13"> </span><span class="ff3 ws7">f</span><span class="fs2 ls2 v3">1</span><span class="ls2f"> <span class="ls14">y <span class="blank"> </span></span></span><span class="ff3 ws7">f</span><span class="fs2 ls2 v3">2</span> <span class="blank _13"> </span>son <span class="blank"> </span>los<span class="blank _2"></span> </div><div class="t m0 x5 h4 yb5 ff2 fs1 fc0 sc0 ls4 wsb">términos <span class="blank _b"> </span>de <span class="blank _6"> </span>fricción <span class="blank _b"> </span>de <span class="blank _6"> </span>fondo<span class="lsa">; <span class="blank _6"> </span></span><span class="ff3 ws7">h</span> <span class="blank _b"> </span>e<span class="blank _0"> </span>s <span class="blank _b"> </span>la <span class="blank _6"> </span>profundidad <span class="blank _b"> </span>to<span class="blank _0"> </span>tal, <span class="blank _6"> </span>y <span class="blank _b"> </span><span class="ff3 ls14">g <span class="blank _6"> </span></span>es <span class="blank _6"> </span>la </div><div class="t m0 x5 h4 yb6 ff2 fs1 fc0 sc0 ls4 wsb">aceleración de <span class="blank _0"> </span>la gravedad. <span class="blank _0"> </span>Los <span class="blank _0"> </span>términos que <span class="blank _0"> </span>expresan <span class="blank _0"> </span>la dispersión son<span class="blank _1"> </span> <span class="ff6 ls1">\uf079</span><span class="fs2 wsf v3">1</span> </div><div class="t m0 x5 h4 yb7 ff2 fs1 fc0 sc0 ls14 wsb">y <span class="ff6 ls1">\uf079</span><span class="fs2 ls30 v3">2</span><span class="lsa">, <span class="ls4">y se encuentran definidos p<span class="blank _2"></span>or: </span></span></div><div class="t m0 x5 h4 yb8 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 hb yb9 ff7 fs1 fc0 sc0 ls4 ws10">\uedf0<span class="blank _2"></span><span class="fs5 ls31 v12">\uf135<span class="fs1 ls4 ws1d v7">\uf34c<span class="blank _8"> </span>\uf346<span class="blank"> </span>\udb80\udde1\ued24<span class="blank _7"> </span>\uf345<span class="blank _7"> </span><span class="fs5 v5">\uf135</span></span></span></div><div class="t m0 x25 h13 yba ff7 fs5 fc0 sc0 ls4 ws19">\uf137<span class="fs1 ws1e v8">\udb80\udde2<span class="blank"> </span>\ued40<span class="blank _0"></span></span><span class="ls32 v14">\uf136</span><span class="fs1 ws10 v8">\uf36b\ued32</span></div><div class="t m0 x26 h1b ybb ff7 fs5 fc0 sc0 ls33 ws1f">\uf1eb\uf1eb\uf1e7<span class="blank"> </span><span class="fs1 ls4 ws16 v7">\uf345<span class="blank"> </span>\ued33<span class="blank _2"></span><span class="fs5 ls33 ws20 v12">\uf1eb\uf1ec\uf1e7<span class="blank"> </span><span class="fs1 ls4 ws21 v7">\uf36f<span class="blank"> </span>\uf346<span class="blank"> </span><span class="ls1 ws22">\ued24\ued43<span class="blank _0"></span><span class="ls34">\ued40<span class="fs5 ls32 v15">\uf137</span><span class="ls4 ws10">\uf36b\ueddf</span></span></span></span><span class="ws23">\uf1eb\uf1eb\uf1eb<span class="blank"> </span><span class="fs1 ls4 ws16 v7">\uf345<span class="blank"> </span>\ueddf</span><span class="ws24">\uf1eb\uf1ec\uf1ec<span class="blank"> </span><span class="fs1 ls4 ws25 v7">\uf36f<span class="blank"> </span>\uf346<span class="blank"> </span>\ued40\ued40</span><span class="ls35">\uf1eb<span class="fs1 ls4 ws10 v7">\udb80\udde1</span><span class="ls4 v6">\uf135</span></span></span></span></span></span></div><div class="t m0 x27 h13 yba ff7 fs5 fc0 sc0 ls36">\uf137<span class="fs1 ls4 v8">\ued32</span></div><div class="t m0 x28 h1b ybb ff7 fs5 fc0 sc0 ls33 ws26">\uf1eb\uf1e7<span class="blank"> </span><span class="fs1 ls21 v7">\uf345</span><span class="ls4 v6">\uf135</span></div><div class="t m0 x29 h13 yba ff7 fs5 fc0 sc0 ls37">\uf13a<span class="fs1 ls4 ws10 v8">\ued33<span class="blank _2"></span><span class="fs5 ls38 ws27 v12">\uf1ec\uf1e7<span class="blank"> </span><span class="fs1 ls4 ws28 v7">\uf345<span class="blank"> </span>\ue974\ued24\ued43\ued40<span class="blank _0"></span>\ueddf</span><span class="ls33 ws29">\uf1eb\uf1eb<span class="blank"> </span><span class="fs1 ls4 v7">\uf345</span></span></span></span></div><div class="t m0 x5 hb ybc ff7 fs1 fc0 sc0 ls4 ws10">\ued24\ued43\ued40<span class="blank _0"></span>\ueddf<span class="fs5 ls38 ws2a v12">\uf1ec\uf1ec<span class="blank"> </span></span><span class="wsb">\udb80\udde2<span class="blank"> </span>\uf346<span class="blank"> </span>\ued40\ued40<span class="fs5 ls38 ws2b v12">\uf1ec\uf1ec<span class="blank"> </span></span></span>\udb80\udde1<span class="fs5 v5">\uf135</span></div><div class="t m0 x2a h13 ybd ff7 fs5 fc0 sc0 ls36">\uf13a<span class="fs1 ls4 ws10 v8">\ued33<span class="blank _2"></span><span class="fs5 ls33 ws2c v12">\uf1eb\uf1e7<span class="blank"> </span><span class="fs1 ls4 ws28 v7">\uf345<span class="blank"> </span>\ued24\ued43\ued40<span class="blank _0"></span>\ueddf</span><span class="ws2d">\uf1eb\uf1ec<span class="blank"> </span><span class="fs1 ls4 ws10 v7">\udb80\udde2<span class="ff2 ls14 wsb"> <span class="ls4">(4) </span></span></span></span></span></span></div><div class="t m0 x5 h4 ybe ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 hb ybf ff7 fs1 fc0 sc0 ls4 ws10">\uedf0<span class="fs5 ls31 v12">\uf136</span><span class="ws1d">\uf34c<span class="blank _8"> </span>\uf346<span class="blank"> </span>\udb80\udde1\ued24<span class="blank _8"> </span>\uf345<span class="blank _c"> </span><span class="fs5 v5">\uf135</span></span></div><div class="t m0 x25 h1c yc0 ff7 fs5 fc0 sc0 ls4 ws19">\uf137<span class="fs1 ws2e v8">\udb80\udde2<span class="blank"> </span>\ued40<span class="blank _0"></span></span><span class="ls29 v14">\uf136</span><span class="fs1 ws10 v8">\uf36b\ued32</span></div><div class="t m0 x26 h1b yc1 ff7 fs5 fc0 sc0 ls33 ws2f">\uf1eb\uf1ec\uf1e7<span class="blank"> </span><span class="fs1 ls4 ws16 v7">\uf345<span class="blank"> </span>\ued33<span class="blank _2"></span><span class="fs5 ls38 ws30 v12">\uf1ec\uf1ec\uf1e7<span class="blank"> </span><span class="fs1 ls4 ws21 v7">\uf36f<span class="blank"> </span>\uf346<span class="blank"> </span><span class="ls1 ws22">\ued24\ued43<span class="blank _0"></span><span class="ls34">\ued40<span class="fs5 ls32 v15">\uf137</span><span class="ls4 ws10">\uf36b\ueddf</span></span></span></span><span class="ws31">\uf1ec\uf1ec\uf1ec<span class="blank"> </span><span class="fs1 ls4 ws16 v7">\uf345<span class="blank"> </span>\ueddf</span><span class="ls33 ws32">\uf1eb\uf1eb\uf1ec<span class="blank"> </span><span class="fs1 ls4 ws25 v7">\uf36f<span class="blank"> </span>\uf346<span class="blank"> </span>\ued40\ued40</span><span class="ls39">\uf1eb<span class="fs1 ls4 ws10 v7">\udb80\udde1</span><span class="ls4 v6">\uf135</span></span></span></span></span></span></div><div class="t m0 x2b h1c yc0 ff7 fs5 fc0 sc0 ls37">\uf137<span class="fs1 ls4 ws10 v8">\ued33<span class="blank _2"></span><span class="fs5 ls38 ws27 v12">\uf1ec\uf1e7<span class="blank"> </span><span class="fs1 ls21 v7">\uf345</span><span class="ls4 v6">\uf135</span></span></span></div><div class="t m0 x2c h1c yc0 ff7 fs5 fc0 sc0 ls36">\uf13a<span class="fs1 ls4 v8">\ued32</span></div><div class="t m0 x2d h1b yc1 ff7 fs5 fc0 sc0 ls33 ws2c">\uf1eb\uf1e7<span class="blank"> </span><span class="fs1 ls4 ws28 v7">\uf345<span class="blank"> </span>\ue974\ued24\ued43\ued40<span class="blank _0"></span>\ueddf</span><span class="ls38 ws33">\uf1ec\uf1ec<span class="blank"> </span><span class="fs1 ls4 v7">\uf345</span></span></div><div class="t m0 x5 hb yc2 ff7 fs1 fc0 sc0 ls4 ws10">\ued24\ued43\ued40<span class="blank _0"></span>\ueddf<span class="fs5 ls33 ws34 v12">\uf1eb\uf1eb<span class="blank"> </span></span><span class="wsb">\udb80\udde2<span class="blank"> </span>\uf346<span class="blank"> </span>\ued40\ued40<span class="fs5 ls38 ws2b v12">\uf1ec\uf1ec<span class="blank"> </span></span><span class="ls3a">\udb80\udde1</span><span class="fs5 v5">\uf135</span></span></div><div class="t m0 x2a h13 yc3 ff7 fs5 fc0 sc0 ls37">\uf13a<span class="fs1 ls4 v8">\ued32</span></div><div class="t m0 x26 h1b y76 ff7 fs5 fc0 sc0 ls38 ws35">\uf1ec\uf1e7<span class="blank"> </span><span class="fs1 ls4 ws28 v7">\uf345<span class="blank"> </span>\ued24\ued43\ued40<span class="blank _0"></span>\ueddf</span><span class="ls33 ws2d">\uf1eb\uf1ec<span class="blank"> </span><span class="fs1 ls4 ws10 v7">\udb80\udde2<span class="ff2 ls14 wsb"> <span class="ls4">(5) </span></span></span></span></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf6" class="pf w0 h0" data-page-no="6"><div class="pc pc6 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/a7819761-5d32-42d7-a27f-74e36ab8e0ff/bg6.png"><div class="c x1 y1 w2 h2"><div class="t m0 x2 h3 y2 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y3 ff1 fs0 fc0 sc0 ls4 wsb"> </div></div><div class="c x4 y1 w3 h2"><div class="t m0 x3 h3 y4 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y5 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y6 ff1 fs0 fc0 sc0 ls4 wsb">2019, Instituto Mexican<span class="blank _0"> </span>o de Tecnología del Agua<span class="blank _1"> </span> </div><div class="t m0 x3 h3 y7 ff1 fs0 fc0 sc0 ls4 wsb">Open Access bajo la lic<span class="blank _0"> </span>encia CC BY<span class="blank _0"> </span>-<span class="ls5 ws0">NC</span>-SA 4.0 </div><div class="t m0 x3 h3 y8 ff1 fs0 fc0 sc0 ls4 ws1">(https://creativeco<span class="blank"> </span>mmons.org/licen<span class="blank"> </span>ses/by<span class="blank _0"> </span>-<span class="ls6 ws2">nc</span><span class="wsb">-sa/4.0/)<span class="blank _0"> </span> </span></div></div><div class="t m0 x5 h4 y9 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x6 h4 ya ff2 fs0 fc0 sc0 ls0 ws3">122<span class="fs1 ls4 wsb"> </span></div><div class="t m0 x5 h5 yb ff3 fs2 fc0 sc0 ls4 wsb">Tecnología y cien<span class="blank _2"></span>cias del<span class="blank _2"></span> agua<span class="ff2">, ISSN 20<span class="blank _2"></span>07-2422, 1<span class="blank _2"></span>0(6<span class="ls7 ws4">),</span> 117-146. DO<span class="blank _2"></span>I: 10.24850/j-t<span class="blank _2"></span>yca-201<span class="blank _2"></span>9-<span class="ls8 ws5">06</span>-05 </span></div><div class="t m0 x5 h4 yc ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 h4 yd ff2 fs1 fc0 sc0 ls4 wsb">Donde <span class="blank _0"> </span><span class="ff3 ws7">d</span> <span class="blank _1"> </span>es <span class="blank _0"> </span>l<span class="blank _0"> </span>a <span class="blank _0"> </span>profun<span class="blank _0"> </span>didad <span class="blank _0"> </span>y <span class="blank _1"> </span><span class="ff3 ls1">B</span> <span class="blank _1"> </span>= <span class="blank _0"> </span>1/15 <span class="blank _1"> </span>es <span class="blank _1"> </span>el <span class="blank _0"> </span>coeficiente <span class="blank _1"> </span>de <span class="blank _0"> </span>calibración <span class="blank _1"> </span>de <span class="blank _1"> </span>la </div><div class="t m0 x5 h4 y2f ff2 fs1 fc0 sc0 ls4 wsb">dispersión. La elevación de la sup<span class="blank _2"></span>erficie libre está descrita por<span class="blank _0"> </span> <span class="ff6 ws36">\uf068</span>. </div><div class="t m0 xd h6 yc4 ff4 fs3 fc0 sc0 ls4 wsb"> </div><div class="t m0 xd h6 yc5 ff4 fs3 fc0 sc0 ls4 wsb"> </div><div class="t m0 x2e h6 yc6 ff4 fs3 fc0 sc0 ls4 wsb">Diseño experi<span class="blank _2"></span>mental para va<span class="blank _2"></span>lidación<span class="blank _2"></span> del mode<span class="blank _2"></span>lo CELERIS </div><div class="t m0 xd h6 yc7 ff4 fs3 fc0 sc0 ls4 wsb"> </div><div class="t m0 xd h6 yc8 ff4 fs3 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 h4 yc9 ff2 fs1 fc0 sc0 ls4 wsb">Con la <span class="blank _0"> </span>finalidad <span class="blank _0"> </span>de <span class="blank _0"> </span>evaluar la <span class="blank _0"> </span>capacidad <span class="blank _0"> </span>del <span class="blank _0"> </span>modelo <span class="blank _0"> </span>para s<span class="blank _0"> </span>imular el <span class="blank _0"> </span>proceso </div><div class="t m0 x5 h4 yca ff2 fs1 fc0 sc0 ls4 wsb">de <span class="blank _d"> </span>focalización <span class="blank _d"> </span>con <span class="blank _e"> </span>lentes <span class="blank _d"> </span>e<span class="blank _0"> </span>lípticos <span class="blank _d"> </span>se <span class="blank _d"> </span>re<span class="blank _0"> </span>alizaron <span class="blank _d"> </span>experimentos <span class="blank _d"> </span>en <span class="blank _e"> </span>el <span class="blank _d"> </span>EOFI<span class="blank _0"> </span>-</div><div class="t m0 x5 h4 ycb ff2 fs1 fc0 sc0 ls4 wsb">UNAM <span class="blank _14"> </span>(Figura <span class="blank _14"> </span>1), <span class="blank _10"> </span>el <span class="blank _14"> </span>cual <span class="blank _14"> </span>es <span class="blank _10"> </span>una <span class="blank _14"> </span>estructura <span class="blank _14"> </span>rectangular <span class="blank _14"> </span>de<span class="blank _0"> </span> <span class="blank _14"> </span>concreto<span class="blank _0"> </span>, <span class="blank _10"> </span>con </div><div class="t m0 x5 h7 ycc ff2 fs1 fc0 sc0 ls4 wsb">una <span class="blank _10"> </span>capacidad <span class="blank _10"> </span>máx<span class="blank _0"> </span>ima <span class="blank _10"> </span>de <span class="blank _10"> </span>37.72<span class="blank _0"> </span> <span class="blank _10"> </span>m<span class="blank _0"> </span><span class="fs2 ls2 v1">3</span> <span class="blank _10"> </span>y <span class="blank _10"> </span>tiene <span class="blank _10"> </span>las <span class="blank _c"> </span>siguientes <span class="blank _10"> </span>dimensiones: </div><div class="t m0 x5 h4 ycd ff2 fs1 fc0 sc0 ls4 wsb">10.7 <span class="blank _0"> </span>m <span class="blank _0"> </span>de <span class="blank _0"> </span>largo, <span class="blank _0"> </span>4<span class="blank _0"> </span>.7 m <span class="blank _0"> </span>de <span class="blank _0"> </span>ancho <span class="blank _0"> </span>y <span class="blank _0"> </span>0<span class="blank _0"> </span>.75 m <span class="blank _0"> </span>de<span class="blank _0"> </span> <span class="blank _0"> </span>alto. <span class="blank _0"> </span>El <span class="blank _0"> </span>oleaje <span class="blank _0"> </span>es<span class="blank _0"> </span> <span class="blank _0"> </span>genera<span class="ls13 wse">do</span><span class="ls3d"> <span class="ls40">a </span></span></div><div class="t m0 x5 h4 yce ff2 fs1 fc0 sc0 ls4 wsb">través <span class="blank _14"> </span>de <span class="blank _10"> </span>una <span class="blank _14"> </span>pala <span class="blank _14"> </span>unidireccional <span class="blank _14"> </span>de <span class="blank _10"> </span>tip<span class="blank _2"></span>o <span class="blank _10"> </span><span class="ff3 ws7">flap</span>. <span class="blank _14"> </span>Dentro <span class="blank _14"> </span>del<span class="blank _0"> </span> <span class="blank _14"> </span>EOFI-UNAM <span class="blank _14"> </span>se<span class="blank _0"> </span> </div><div class="t m0 x5 h4 ycf ff2 fs1 fc0 sc0 ls4 wsb">instaló <span class="blank _d"> </span>e<span class="blank _0"> </span>l <span class="blank _e"> </span>modelo <span class="blank _d"> </span>físico <span class="blank _e"> </span>de <span class="blank _e"> </span>un <span class="blank _d"> </span>lente <span class="blank _e"> </span>elíptico, <span class="blank _e"> </span>con <span class="blank _d"> </span>un <span class="blank _e"> </span>semieje <span class="blank _e"> </span>menor <span class="blank _e"> </span>de <span class="blank _d"> </span>0.6 </div><div class="t m0 x5 h4 yd0 ff2 fs1 fc0 sc0 ls4 wsb">m, <span class="blank _14"> </span>un <span class="blank _14"> </span>sem<span class="blank _0"> </span>ieje <span class="blank _14"> </span>mayor<span class="blank _0"> </span> <span class="blank _14"> </span>de <span class="blank _10"> </span>1 <span class="blank _14"> </span>m <span class="blank _10"> </span>y <span class="blank _14"> </span>una <span class="blank _14"> </span>altura <span class="blank _14"> </span>de <span class="blank _10"> </span>0.122 <span class="blank _10"> </span>m <span class="blank _14"> </span>(<span class="blank _0"> </span>Figura <span class="blank _14"> </span>2), <span class="blank _10"> </span>y <span class="blank _14"> </span>se </div><div class="t m0 x5 h4 yd1 ff2 fs1 fc0 sc0 ls4 wsb">generó <span class="blank _0"> </span>un <span class="blank _1"> </span>campo <span class="blank _0"> </span>de<span class="blank _0"> </span> <span class="blank _0"> </span>olas <span class="blank _1"> </span>monocromático <span class="blank _0"> </span>unidireccional <span class="blank _1"> </span>con <span class="blank _0"> </span>una <span class="blank _1"> </span>frecuencia </div><div class="t m0 x5 h4 yd2 ff2 fs1 fc0 sc0 ls4 wsb">de <span class="blank _e"> </span>1.61 <span class="blank _e"> </span>Hz <span class="blank _e"> </span>y <span class="blank _f"> </span>una <span class="blank _d"> </span>a<span class="blank _0"> </span>ltura <span class="blank _e"> </span>de <span class="blank _e"> </span>0.013<span class="blank _0"> </span> <span class="blank _e"> </span>m, <span class="blank _e"> </span>el <span class="blank _e"> </span>cual <span class="blank _e"> </span>fue <span class="blank _e"> </span>re<span class="blank _0"> </span>gistrado <span class="blank _e"> </span>por <span class="blank _e"> </span>medio <span class="blank _e"> </span>de </div><div class="t m0 x5 h4 yd3 ff2 fs1 fc0 sc0 ls4 wsb">mediciones <span class="blank _10"> </span>de <span class="blank _10"> </span>la <span class="blank _10"> </span>superficie <span class="blank _10"> </span>libre <span class="blank _10"> </span>con <span class="blank _10"> </span>sensores <span class="blank _10"> </span>de <span class="blank _10"> </span>nivel <span class="blank _10"> </span>de <span class="blank _10"> </span>tipo <span class="blank _10"> </span>resistivo. </div><div class="t m0 x5 h4 yd4 ff2 fs1 fc0 sc0 ls4 wsb">Cabe <span class="blank _10"> </span>señalar <span class="blank _10"> </span>que <span class="blank _10"> </span>las <span class="blank _10"> </span>dimensiones <span class="blank _14"> </span>del<span class="blank _0"> </span> <span class="blank _10"> </span>lente <span class="blank _10"> </span>elíptico <span class="blank _10"> </span>fueron <span class="blank _10"> </span>determinadas </div><div class="t m0 x5 h4 yd5 ff2 fs1 fc0 sc0 ls4 wsb">por <span class="blank _1"> </span>pruebas <span class="blank _d"> </span>numéricas <span class="blank _1"> </span>piloto, <span class="blank _1"> </span>en <span class="blank _d"> </span>donde <span class="blank _1"> </span>se <span class="blank _d"> </span>fijó <span class="blank _1"> </span>el <span class="blank _d"> </span>semieje <span class="blank _1"> </span>menor <span class="blank _d"> </span>al <span class="blank _1"> </span>mismo </div><div class="t m0 x5 h4 yd6 ff2 fs1 fc0 sc0 ls4 wsb">valor <span class="blank _1"> </span>de <span class="blank _d"> </span>la <span class="blank _d"> </span>longitud <span class="blank _1"> </span>de <span class="blank _d"> </span>onda <span class="blank _1"> </span>incidente <span class="blank _e"> </span>(<span class="ff3 ws7">b</span><span class="ls3e"> <span class="lsc">= <span class="blank _1"> </span><span class="ff3 ls3">L</span><span class="fs2 ls2 v3">0</span><span class="lsa ws9">),</span></span></span> <span class="blank _d"> </span>y <span class="blank _1"> </span>se <span class="blank _d"> </span>variaro<span class="blank _0"> </span>n <span class="blank _1"> </span>las <span class="blank _d"> </span>alturas <span class="blank _1"> </span>y </div><div class="t m0 x5 h4 yd7 ff2 fs1 fc0 sc0 ls4 wsb">el <span class="blank _10"> </span>semieje <span class="blank _14"> </span>mayor <span class="blank _10"> </span>hasta <span class="blank _14"> </span>encontrar <span class="blank _10"> </span>una <span class="blank _14"> </span>focalización <span class="blank _10"> </span>significante <span class="blank _14"> </span>del <span class="blank _10"> </span>oleaje </div><div class="t m0 x5 h4 yd8 ff2 fs1 fc0 sc0 ls4 ws7">inciden<span class="lsa ws9">te</span><span class="wsb"> <span class="blank _f"> </span>(c<span class="blank _0"> </span>uando <span class="blank _14"> </span><span class="ff3 ls3f">a</span> <span class="blank _f"> </span>= <span class="blank _14"> </span>1.7<span class="ff3 ls3">L</span><span class="fs2 ls2 v3">0</span><span class="lsa ws9">).</span> <span class="blank _14"> </span>Para <span class="blank _14"> </span>controlar <span class="blank _14"> </span>los <span class="blank _f"> </span>e<span class="blank _0"> </span>fectos <span class="blank _f"> </span>de <span class="blank _14"> </span>reflexión <span class="blank _f"> </span>que<span class="blank _0"> </span> </span></div><div class="t m0 x5 h4 yd9 ff2 fs1 fc0 sc0 ls4 wsb">provoca <span class="blank _a"> </span>la <span class="blank _a"> </span>pared <span class="blank _a"> </span>opuesta <span class="blank _a"> </span>a <span class="blank _a"> </span>la <span class="blank _a"> </span>pala <span class="blank _11"> </span>de <span class="blank _a"> </span>generación <span class="blank _a"> </span>del <span class="blank _a"> </span>estanque <span class="blank _a"> </span>se </div><div class="t m0 x5 h4 yda ff2 fs1 fc0 sc0 ls4 wsb">construyó <span class="blank _9"> </span>una<span class="blank _0"> </span> <span class="blank _b"> </span>playa <span class="blank _9"> </span>disipativa <span class="blank _b"> </span>de <span class="blank _b"> </span>grava <span class="blank _b"> </span>(D50<span class="blank _0"> </span> <span class="blank _b"> </span>= <span class="blank _b"> </span>0.025 <span class="blank _9"> </span>m), <span class="blank _b"> </span>con <span class="blank _b"> </span>una </div><div class="t m0 x5 h4 ydb ff2 fs1 fc0 sc0 ls4 wsb">pendiente <span class="blank _c"> </span>a <span class="blank _7"> </span>una <span class="blank _c"> </span>raz<span class="blank _0"> </span>ón <span class="blank _7"> </span>de <span class="blank _c"> </span>1:3, <span class="blank _7"> </span>con <span class="blank _c"> </span>la <span class="blank _7"> </span>cual <span class="blank _7"> </span>se <span class="blank _c"> </span>o<span class="blank _0"> </span>btuvo <span class="blank _c"> </span>un <span class="blank _7"> </span>coef<span class="blank _0"> </span>iciente <span class="blank _c"> </span>de </div><div class="t m0 x5 h4 ydc ff2 fs1 fc0 sc0 ls4 wsb">reflexión <span class="blank _14"> </span>menor <span class="blank _10"> </span>al <span class="blank _14"> </span>7% <span class="blank _10"> </span>para <span class="blank _14"> </span>las <span class="blank _14"> </span>condiciones <span class="blank _10"> </span>de <span class="blank _14"> </span>oleaje <span class="blank _14"> </span>mencionadas. <span class="blank _14"> </span>Este </div><div class="t m0 x5 h4 ydd ff2 fs1 fc0 sc0 ls4 wsb">coeficiente <span class="blank _c"> </span>de <span class="blank _7"> </span>reflexión <span class="blank _7"> </span>es <span class="blank _7"> </span>aceptable, <span class="blank _8"> </span>pues <span class="blank _7"> </span>se <span class="blank _c"> </span>e<span class="blank _0"> </span>ncuentra <span class="blank _7"> </span>por <span class="blank _c"> </span>debajo <span class="blank _7"> </span>del </div><div class="t m0 x5 h4 yde ff2 fs1 fc0 sc0 ls4 wsb">10% <span class="blank _10"> </span>(Cotter <span class="blank _14"> </span>& <span class="blank _10"> </span>Chakrabarti, <span class="blank _14"> </span>19<span class="blank _0"> </span>94). <span class="blank _10"> </span>Cabe <span class="blank _14"> </span>señalar <span class="blank _10"> </span>que <span class="blank _10"> </span>este <span class="blank _10"> </span>coeficiente <span class="blank _10"> </span>se </div><div class="t m0 x5 h4 ydf ff2 fs1 fc0 sc0 ls4 wsb">obtuvo <span class="blank _d"> </span>mediante <span class="blank _1"> </span>el <span class="blank _d"> </span>método <span class="blank _d"> </span>de <span class="blank _d"> </span>lo<span class="blank _0"> </span><span class="ls17">s <span class="blank _d"> </span></span>tres <span class="blank _d"> </span>puntos <span class="blank _d"> </span>desarrollado <span class="blank _d"> </span>por <span class="blank _d"> </span>Mansard <span class="blank _1"> </span>y<span class="blank _0"> </span> </div><div class="t m0 x5 h4 ye0 ff2 fs1 fc0 sc0 ls4 wsb">Funke <span class="blank _6"> </span>(1980), <span class="blank _a"> </span>con <span class="blank _6"> </span>la <span class="blank _a"> </span>modificación <span class="blank _6"> </span>al <span class="blank _a"> </span>método <span class="blank _6"> </span>de <span class="blank _a"> </span>mínimos <span class="blank _6"> </span>cuadrados </div><div class="t m0 x5 h4 ye1 ff2 fs1 fc0 sc0 ls4 wsb">propuesto por Baquerizo (1995). </div><div class="t m0 x5 h4 ye2 ff2 fs1 fc0 sc0 ls4 wsb"> </div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf7" class="pf w0 h0" data-page-no="7"><div class="pc pc7 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 ye3 w6 h1d" alt="" src="https://files.passeidireto.com/a7819761-5d32-42d7-a27f-74e36ab8e0ff/bg7.png"><div class="c x1 y1 w2 h2"><div class="t m0 x2 h3 y2 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y3 ff1 fs0 fc0 sc0 ls4 wsb"> </div></div><div class="c x4 y1 w3 h2"><div class="t m0 x3 h3 y4 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y5 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y6 ff1 fs0 fc0 sc0 ls4 wsb">2019, Instituto Mexican<span class="blank _0"> </span>o de Tecnología del Agua<span class="blank _1"> </span> </div><div class="t m0 x3 h3 y7 ff1 fs0 fc0 sc0 ls4 wsb">Open Access bajo la lic<span class="blank _0"> </span>encia CC BY<span class="blank _0"> </span>-<span class="ls5 ws0">NC</span>-SA 4.0 </div><div class="t m0 x3 h3 y8 ff1 fs0 fc0 sc0 ls4 ws1">(https://creativeco<span class="blank"> </span>mmons.org/licen<span class="blank"> </span>ses/by<span class="blank _0"> </span>-<span class="ls6 ws2">nc</span><span class="wsb">-sa/4.0/)<span class="blank _0"> </span> </span></div></div><div class="t m0 x5 h4 y9 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x6 h4 ya ff2 fs0 fc0 sc0 ls0 ws3">123<span class="fs1 ls4 wsb"> </span></div><div class="t m0 x5 h5 yb ff3 fs2 fc0 sc0 ls4 wsb">Tecnología y cien<span class="blank _2"></span>cias del<span class="blank _2"></span> agua<span class="ff2">, ISSN 20<span class="blank _2"></span>07-2422, 1<span class="blank _2"></span>0(6<span class="ls7 ws4">),</span> 117-146. DO<span class="blank _2"></span>I: 10.24850/j-t<span class="blank _2"></span>yca-201<span class="blank _2"></span>9-<span class="ls8 ws5">06</span>-05 </span></div><div class="t m0 x2f h5 ye4 ff2 fs2 fc0 sc0 ls4 wsb"> </div><div class="t m0 x30 h8 ye5 ff4 fs1 fc0 sc0 ls4 wsb">Figura 1<span class="ff2">. Vista trasera del estanque de oleaje del Laboratorio de </span></div><div class="t m0 x31 h8 ye6 ff2 fs1 fc0 sc0 ls4 wsb">Hidráulica de la Facultad de Ing<span class="blank _2"></span>eniería de la UNAM.<span class="blank _0"> </span><span class="ff4"> </span></div><div class="t m0 xd h4 ye7 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x32 h1e ye8 ff2 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x33 h8 ye9 ff4 fs1 fc0 sc0 ls4 wsb">Figura 2<span class="ff2">. Lente elíptico montado sobre la p<span class="blank _2"></span>lataforma y listo para iniciar l<span class="blank _2"></span>os </span></div><div class="t m0 x34 h4 yea ff2 fs1 fc0 sc0 ls4 wsb">experimentos en el EOFI-UNAM. </div><div class="t m0 x5 h4 yeb ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 h4 yec ff2 fs1 fc0 sc0 ls4 wsb">Para <span class="blank _8"> </span>simular <span class="blank _12"> </span>la <span class="blank _8"> </span>transición <span class="blank _12"> </span>de <span class="blank _8"> </span>aguas <span class="blank _12"> </span>profundas <span class="blank _8"> </span>hacia <span class="blank _12"> </span>aguas <span class="blank _8"> </span>somer<span class="blank _0"> </span>as <span class="blank _8"> </span>se </div><div class="t m0 x5 h4 yed ff2 fs1 fc0 sc0 ls4 wsb">construyó <span class="blank _10"> </span>una <span class="blank _10"> </span>plataforma <span class="blank _10"> </span>horizontal <span class="blank _10"> </span>con <span class="blank _10"> </span>el <span class="blank _10"> </span>mismo <span class="blank _14"> </span>material <span class="blank _10"> </span>que <span class="blank _10"> </span>la <span class="blank _10"> </span>playa </div><div class="t m0 x5 h4 yee ff2 fs1 fc0 sc0 ls4 wsb">disipativa, <span class="blank _d"> </span>con <span class="blank _e"> </span>una <span class="blank _e"> </span>altura <span class="blank _d"> </span>de <span class="blank _d"> </span>0<span class="blank _0"> </span>.13 <span class="blank _d"> </span>m <span class="blank _e"> </span>sobre <span class="blank _e"> </span>el <span class="blank _d"> </span>fondo <span class="blank _d"> </span>del <span class="blank _e"> </span>estanque. <span class="blank _d"> </span>El<span class="blank _0"> </span> <span class="blank _d"> </span>nivel </div><div class="t m0 x5 h4 yef ff2 fs1 fc0 sc0 ls4 wsb">del agua en todos los experimentos fu<span class="blank _2"></span>e de<span class="blank _0"> </span> 0.35 m. </div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf8" class="pf w0 h0" data-page-no="8"><div class="pc pc8 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 yf0 w7 h1f" alt="" src="https://files.passeidireto.com/a7819761-5d32-42d7-a27f-74e36ab8e0ff/bg8.png"><div class="c x1 y1 w2 h2"><div class="t m0 x2 h3 y2 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y3 ff1 fs0 fc0 sc0 ls4 wsb"> </div></div><div class="c x4 y1 w3 h2"><div class="t m0 x3 h3 y4 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y5 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y6 ff1 fs0 fc0 sc0 ls4 wsb">2019, Instituto Mexican<span class="blank _0"> </span>o de Tecnología del Agua<span class="blank _1"> </span> </div><div class="t m0 x3 h3 y7 ff1 fs0 fc0 sc0 ls4 wsb">Open Access bajo la lic<span class="blank _0"> </span>encia CC BY<span class="blank _0"> </span>-<span class="ls5 ws0">NC</span>-SA 4.0 </div><div class="t m0 x3 h3 y8 ff1 fs0 fc0 sc0 ls4 ws1">(https://creativeco<span class="blank"> </span>mmons.org/licen<span class="blank"> </span>ses/by<span class="blank _0"> </span>-<span class="ls6 ws2">nc</span><span class="wsb">-sa/4.0/)<span class="blank _0"> </span> </span></div></div><div class="t m0 x5 h4 y9 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x6 h4 ya ff2 fs0 fc0 sc0 ls0 ws3">124<span class="fs1 ls4 wsb"> </span></div><div class="t m0 x5 h5 yb ff3 fs2 fc0 sc0 ls4 wsb">Tecnología y cien<span class="blank _2"></span>cias del<span class="blank _2"></span> agua<span class="ff2">, ISSN 20<span class="blank _2"></span>07-2422, 1<span class="blank _2"></span>0(6<span class="ls7 ws4">),</span> 117-146. DO<span class="blank _2"></span>I: 10.24850/j-t<span class="blank _2"></span>yca-201<span class="blank _2"></span>9-<span class="ls8 ws5">06</span>-05 </span></div><div class="t m0 x5 h4 yc ff2 fs1 fc0 sc0 ls4 wsb">Para <span class="blank _e"> </span>registrar <span class="blank _d"> </span>el <span class="blank _e"> </span>proceso <span class="blank _e"> </span>de <span class="blank _e"> </span>f<span class="blank _2"></span>ocalización <span class="blank _d"> </span>se <span class="blank _e"> </span>instrumentaron <span class="blank _e"> </span>dos <span class="blank _e"> </span>transectos </div><div class="t m0 x5 h4 y2e ff2 fs1 fc0 sc0 ls4 wsb">(Figura <span class="blank _1"> </span>3): <span class="blank _d"> </span>uno <span class="blank _1"> </span>sobre<span class="blank _0"> </span> <span class="blank _1"> </span>el <span class="blank _d"> </span>eje <span class="blank _1"> </span>óptico <span class="blank _d"> </span>(transect<span class="blank _2"></span>o <span class="blank _1"> </span>AB) <span class="blank _d"> </span>y <span class="blank _1"> </span>otro <span class="blank _d"> </span>transversal <span class="blank _1"> </span>al <span class="blank _d"> </span>eje </div><div class="t m0 x5 h4 y51 ff2 fs1 fc0 sc0 ls4 wsb">óptico sobre el punto focal (transecto CD). </div><div class="t m0 x5 h4 yf1 ff2 fs1 fc0 sc0 ls4 wsb">Para <span class="blank _11"> </span>medir <span class="blank _a"> </span>e<span class="blank _0"> </span>l <span class="blank _a"> </span>ole<span class="blank _0"> </span>aje <span class="blank _11"> </span>perturbado <span class="blank _11"> </span>a <span class="blank _11"> </span>un <span class="blank _11"> </span>costado <span class="blank _11"> </span>del <span class="blank _15"> </span>lente <span class="blank _a"> </span>e<span class="blank _0"> </span>líptico <span class="blank _a"> </span>se<span class="blank _0"> </span> </div><div class="t m0 x5 h4 y53 ff2 fs1 fc0 sc0 ls4 wsb">instrumentaron <span class="blank _8"> </span>tres <span class="blank _8"> </span>transectos <span class="blank _12"> </span>paralelos <span class="blank _7"> </span>al <span class="blank _12"> </span>eje <span class="blank _8"> </span>óptico <span class="blank _8"> </span>a <span class="blank _12"> </span>la <span class="blank _8"> </span>altura <span class="blank _8"> </span>de <span class="blank _8"> </span>la </div><div class="t m0 x5 h4 y54 ff2 fs1 fc0 sc0 ls4 wsb">elipse (transectos EF, GH e IJ). </div><div class="t m0 x5 h4 yf2 ff2 fs1 fc0 sc0 ls4 wsb">Con <span class="blank"> </span>la <span class="blank _12"> </span>finalidad <span class="blank"> </span>de <span class="blank"> </span>verifi<span class="blank _2"></span>car <span class="blank"> </span>el<span class="blank _2"></span> <span class="blank"> </span>fu<span class="blank _2"></span>ncionamiento <span class="blank _13"> </span>del <span class="blank _13"> </span>modelo <span class="blank"> </span>para <span class="blank _13"> </span>oleaje<span class="blank _2"></span> </div><div class="t m0 x5 h4 yf3 ff2 fs1 fc0 sc0 ls4 wsb">oblicuo <span class="blank _b"> </span>y <span class="blank _6"> </span>debido <span class="blank _a"> </span>a <span class="blank _b"> </span>que <span class="blank _6"> </span>la <span class="blank _6"> </span>pala <span class="blank _6"> </span>del <span class="blank _6"> </span>estanque <span class="blank _6"> </span>solamente <span class="blank _6"> </span>genera <span class="blank _6"> </span>olas </div><div class="t m0 x5 h4 yf4 ff2 fs1 fc0 sc0 ls4 wsb">unidireccionales, <span class="blank _14"> </span>e<span class="blank _0"> </span>l <span class="blank _10"> </span>lente <span class="blank _10"> </span>se <span class="blank _10"> </span>giró <span class="blank _10"> </span>20° <span class="blank _10"> </span>sobre <span class="blank _10"> </span>e<span class="blank _0"> </span>l <span class="blank _10"> </span>eje <span class="blank _10"> </span>óptico <span class="blank _10"> </span>para <span class="blank _10"> </span>simular <span class="blank _10"> </span>la </div><div class="t m0 x5 h4 yf5 ff2 fs1 fc0 sc0 ls4 wsb">incidencia <span class="blank _1"> </span>oblicua. <span class="blank _d"> </span>El <span class="blank _d"> </span>panel <span class="blank _1"> </span>i<span class="blank _0"> </span>nferior <span class="blank _d"> </span>de <span class="blank _d"> </span>la <span class="blank _d"> </span>Figura <span class="blank _d"> </span>3 <span class="blank _d"> </span>muestra <span class="blank _1"> </span>un <span class="blank _d"> </span>esquema <span class="blank _d"> </span>de </div><div class="t m0 x5 h4 yf6 ff2 fs1 fc0 sc0 ls4 wsb">la <span class="blank _10"> </span>posición <span class="blank _c"> </span>del <span class="blank _c"> </span>lent<span class="blank _0"> </span>e <span class="blank _c"> </span>elíptico <span class="blank _10"> </span>para <span class="blank _c"> </span>oleaje <span class="blank _c"> </span>o<span class="blank _0"> </span>blicuo, <span class="blank _c"> </span>así <span class="blank _c"> </span>com<span class="blank _0"> </span>o <span class="blank _c"> </span>el <span class="blank _c"> </span>arreglo <span class="blank _c"> </span>de </div><div class="t m0 x5 h4 yf7 ff2 fs1 fc0 sc0 ls4 wsb">instrumentos <span class="blank _d"> </span>para <span class="blank _d"> </span>re<span class="blank _0"> </span>gistrar <span class="blank _d"> </span>los <span class="blank _d"> </span>cambios <span class="blank _e"> </span>en <span class="blank _d"> </span>la <span class="blank _e"> </span>zona <span class="blank _d"> </span>focal <span class="blank _d"> </span>debido <span class="blank _e"> </span>al <span class="blank _d"> </span>cambio </div><div class="t m0 x5 h4 y93 ff2 fs1 fc0 sc0 ls4 wsb">de la dirección incidente del oleaje (<span class="blank _2"></span>transectos KL y MN).<span class="blank _0"> </span> </div><div class="t m0 x5 h4 y3a ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x35 h5 yf8 ff2 fs2 fc0 sc0 ls4 wsb"> </div><div class="t m0 x0 h8 yf9 ff4 fs1 fc0 sc0 ls4 wsb">Figura 3<span class="ff2">. Esquema del arreglo instrumental para incidencia normal<span class="blank _2"></span> del </span></div><div class="t m0 x14 h4 yfa ff2 fs1 fc0 sc0 ls4 wsb">oleaje (superior) e incidencia oblicua (inferior). Los p<span class="blank _2"></span>untos negros </div><div class="t m0 x13 h4 yfb ff2 fs1 fc0 sc0 ls4 wsb">representan las posiciones dond<span class="blank _2"></span>e fueron ubicados los sensores de nivel <span class="blank _2"></span>y </div><div class="t m0 x33 h4 yfc ff2 fs1 fc0 sc0 ls4 wsb">las líneas punteadas representan los transectos. La n<span class="blank _2"></span>umeración en el panel </div><div class="t m0 x2e h4 yfd ff2 fs1 fc0 sc0 ls4 wsb">superior indica la comparación de las series de tiempo d<span class="blank _2"></span>e superficie libre y </div><div class="t m0 x1a h8 yfe ff2 fs1 fc0 sc0 ls4 wsb">de espectros.<span class="ff4"> </span></div><div class="t m0 x5 h4 yff ff2 fs1 fc0 sc0 ls4 wsb"> </div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf9" class="pf w0 h0" data-page-no="9"><div class="pc pc9 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y100 w8 h20" alt="" src="https://files.passeidireto.com/a7819761-5d32-42d7-a27f-74e36ab8e0ff/bg9.png"><div class="c x1 y1 w2 h2"><div class="t m0 x2 h3 y2 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y3 ff1 fs0 fc0 sc0 ls4 wsb"> </div></div><div class="c x4 y1 w3 h2"><div class="t m0 x3 h3 y4 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y5 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y6 ff1 fs0 fc0 sc0 ls4 wsb">2019, Instituto Mexican<span class="blank _0"> </span>o de Tecnología del Agua<span class="blank _1"> </span> </div><div class="t m0 x3 h3 y7 ff1 fs0 fc0 sc0 ls4 wsb">Open Access bajo la lic<span class="blank _0"> </span>encia CC BY<span class="blank _0"> </span>-<span class="ls5 ws0">NC</span>-SA 4.0 </div><div class="t m0 x3 h3 y8 ff1 fs0 fc0 sc0 ls4 ws1">(https://creativeco<span class="blank"> </span>mmons.org/licen<span class="blank"> </span>ses/by<span class="blank _0"> </span>-<span class="ls6 ws2">nc</span><span class="wsb">-sa/4.0/)<span class="blank _0"> </span> </span></div></div><div class="t m0 x5 h4 y9 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x6 h4 ya ff2 fs0 fc0 sc0 ls0 ws3">125<span class="fs1 ls4 wsb"> </span></div><div class="t m0 x5 h5 yb ff3 fs2 fc0 sc0 ls4 wsb">Tecnología y cien<span class="blank _2"></span>cias del<span class="blank _2"></span> agua<span class="ff2">, ISSN 20<span class="blank _2"></span>07-2422, 1<span class="blank _2"></span>0(6<span class="ls7 ws4">),</span> 117-146. DO<span class="blank _2"></span>I: 10.24850/j-t<span class="blank _2"></span>yca-201<span class="blank _2"></span>9-<span class="ls8 ws5">06</span>-05 </span></div><div class="t m0 x5 h4 yc ff2 fs1 fc0 sc0 ls4 wsb">La <span class="blank _1"> </span>fre<span class="blank _0"> </span>cuencia <span class="blank _1"> </span>de <span class="blank _d"> </span>muestreo <span class="blank _1"> </span>de <span class="blank _d"> </span>la <span class="blank _1"> </span>su<span class="blank _0"> </span>perficie <span class="blank _d"> </span>lib<span class="blank _2"></span>re <span class="blank _d"> </span>por <span class="blank _1"> </span>medio <span class="blank _d"> </span>de <span class="blank _1"> </span>los <span class="blank _d"> </span>sensores </div><div class="t m0 x5 h4 y2e ff2 fs1 fc0 sc0 ls4 wsb">fue <span class="blank _f"> </span>de <span class="blank _e"> </span>10<span class="blank _0"> </span>0 <span class="blank _f"> </span>Hz <span class="blank _e"> </span>(0.01 <span class="blank _f"> </span>s) <span class="blank _f"> </span>y <span class="blank _e"> </span>la <span class="blank _f"> </span>longitud <span class="blank _f"> </span>del <span class="blank _f"> </span>registro <span class="blank _e"> </span>fue <span class="blank _f"> </span>de <span class="blank _f"> </span>120 <span class="blank _f"> </span>s <span class="blank _f"> </span>para <span class="blank _f"> </span>cada </div><div class="t m0 x5 h4 y51 ff2 fs1 fc0 sc0 ls4 wsb">prueba realizada. La <span class="blank _0"> </span>Figura 4 mues<span class="blank _0"> </span>tra un ejemp<span class="blank _0"> </span>lo de dos s<span class="blank _0"> </span>eries registradas </div><div class="t m0 x5 h4 y52 ff2 fs1 fc0 sc0 ls4 wsb">durante <span class="blank _12"> </span>el <span class="blank _12"> </span>periodo <span class="blank _8"> </span>de <span class="blank _12"> </span>medición. <span class="blank _12"> </span>A <span class="blank _12"> </span>partir <span class="blank _12"> </span>de <span class="blank _12"> </span>la <span class="blank _12"> </span>series <span class="blank _8"> </span>de <span class="blank _12"> </span>tiempo <span class="blank _12"> </span>de <span class="blank _12"> </span>la </div><div class="t m0 x5 h4 y78 ff2 fs1 fc0 sc0 ls4 wsb">superficie l<span class="blank _0"> </span>ibre <span class="blank _0"> </span>se <span class="blank _0"> </span>llevó <span class="blank _0"> </span>a <span class="blank _0"> </span>cabo <span class="blank _1"> </span>el <span class="blank _0"> </span>análisis temporal <span class="blank _0"> </span>por <span class="blank _0"> </span>medio <span class="blank _0"> </span>de <span class="blank _1"> </span>cruces <span class="blank _0"> </span>por </div><div class="t m0 x5 h4 y79 ff2 fs1 fc0 sc0 ls4 wsb">cero <span class="blank _1a"> </span>por <span class="blank _1a"> </span>pasos <span class="blank _4"> </span>descendentes, <span class="blank _1a"> </span>para <span class="blank _1a"> </span>poder <span class="blank _4"> </span>obtener <span class="blank _1a"> </span>los <span class="blank _1a"> </span>parámetros </div><div class="t m0 x5 h4 y7a ff2 fs1 fc0 sc0 ls4 wsb">estadísticos <span class="blank _15"> </span>del <span class="blank _16"> </span>oleaje, <span class="blank _15"> </span>tales <span class="blank _16"> </span>como <span class="blank _15"> </span>la <span class="blank _16"> </span>altura <span class="blank _16"> </span>(<span class="ff3 ws7">H</span><span class="lsa">) <span class="blank _15"> </span></span>y<span class="blank _0"> </span> <span class="blank _16"> </span>el <span class="blank _15"> </span>periodo<span class="blank _0"> </span> <span class="blank _15"> </span>(<span class="ff3 ls1">T</span><span class="lsa ws9">).</span> </div><div class="t m0 x5 h4 y7b ff2 fs1 fc0 sc0 ls4 wsb">Posteriormente se obtuvo la altu<span class="blank _2"></span>ra cuadrática media (<span class="ff3 ws7">H<span class="fs2 wsf v3">rms</span></span><span class="lsa ws9">),</span> definida como: </div><div class="t m0 x5 h4 y57 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 hb y101 ff7 fs1 fc0 sc0 ls4">\ued2a</div><div class="t m0 x13 h21 y102 ff7 fs5 fc0 sc0 ls4 ws37">\uf1e5\uf1e0\uf1e6<span class="blank"> </span><span class="fs1 ls41 v7">\uf34c<span class="ls42 v0">\uf3a7</span></span><span class="v6">\uf135</span></div><div class="t m0 x36 h22 y103 ff7 fs5 fc0 sc0 ls43">\uf1c7<span class="fs1 ls44 v16">\ue9c3<span class="ls4 v17">\ued2a</span></span></div><div class="t m0 x15 hd y102 ff7 fs5 fc0 sc0 ls4">\uf1e0</div><div class="t m0 x16 hd y104 ff7 fs5 fc0 sc0 ls4">\uf136</div><div class="t m0 x37 hd y105 ff7 fs5 fc0 sc0 ls4">\uf1c7</div><div class="t m0 x37 hd y106 ff7 fs5 fc0 sc0 ls4 ws38">\uf1e0\uf140\uf135<span class="blank"> </span><span class="ff2 fs1 ls14 wsb ve"> <span class="ls4">(6) </span></span></div><div class="t m0 x5 h4 y107 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x38 h1e y108 ff2 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x9 h8 y109 ff4 fs1 fc0 sc0 ls4 wsb">Figura 4<span class="ff2">. Señal de la superficie libre obtenida para l<span class="blank _2"></span>os sensores AB5 </span></div><div class="t m0 x39 h8 y10a ff2 fs1 fc0 sc0 ls4 wsb">(panel superior) y AB0 (panel i<span class="blank _2"></span>nferior).<span class="ff4"> </span></div><div class="t m0 x5 h4 y10b ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 h4 y10c ff2 fs1 fc0 sc0 ls4 wsb">Donde <span class="blank _e"> </span><span class="ff3 lsc">N</span> <span class="blank _d"> </span>e<span class="blank _0"> </span>s <span class="blank _e"> </span>el <span class="blank _d"> </span>número <span class="blank _e"> </span>total <span class="blank _e"> </span>de <span class="blank _d"> </span>datos <span class="blank _e"> </span>y <span class="blank _e"> </span><span class="ff3 ls45">H<span class="fs2 ls4 wsf v3">m</span></span> <span class="blank _e"> </span>son <span class="blank _e"> </span>las <span class="blank _d"> </span>altura<span class="blank _0"> </span>s <span class="blank _e"> </span>individuales <span class="blank _d"> </span>de </div><div class="t m0 x5 h4 y10d ff2 fs1 fc0 sc0 ls4 wsb">ola contenidas en el registro temporal.<span class="blank _2"></span> </div><div class="t m0 x5 h4 y10e ff2 fs1 fc0 sc0 ls4 wsb">Para <span class="blank _d"> </span>poder <span class="blank _e"> </span>comparar <span class="blank _d"> </span>la <span class="blank _d"> </span>cantidad <span class="blank _e"> </span>de <span class="blank _d"> </span>energía <span class="blank _d"> </span>del <span class="blank _e"> </span>oleaje <span class="blank _d"> </span>incidente, <span class="blank _d"> </span>el <span class="blank _e"> </span>oleaje </div><div class="t m0 x5 h4 y10f ff2 fs1 fc0 sc0 ls4 wsb">focalizado <span class="blank _0"> </span>y <span class="blank _0"> </span>e<span class="blank _0"> </span>l <span class="blank _0"> </span>oleaj<span class="blank _0"> </span>e <span class="blank _0"> </span>en <span class="blank _1"> </span>un <span class="blank _0"> </span>punto <span class="blank _1"> </span>de <span class="blank _0"> </span>co<span class="blank _0"> </span>ntrol <span class="blank _0"> </span>(que <span class="blank _0"> </span>corre<span class="blank _0"> </span>sponde <span class="blank _0"> </span>al <span class="blank _0"> </span>oleaje <span class="blank _1"> </span>en </div><div class="t m0 x5 h4 y110 ff2 fs1 fc0 sc0 ls4 wsb">la <span class="blank _d"> </span>posic<span class="blank _0"> </span>ión <span class="blank _d"> </span>del <span class="blank _e"> </span>punt<span class="blank _0"> </span>o <span class="blank _e"> </span>focal <span class="blank _d"> </span>pero <span class="blank _e"> </span>sin <span class="blank _e"> </span>la <span class="blank _e"> </span>presciencia <span class="blank _e"> </span>del <span class="blank _e"> </span>lente), <span class="blank _d"> </span>se <span class="blank _e"> </span>realizaron </div><div class="t m0 x5 h4 y111 ff2 fs1 fc0 sc0 ls4 wsb">espectros <span class="blank _12"> </span>de <span class="blank _12"> </span>energía <span class="blank _8"> </span>por <span class="blank _13"> </span>medio <span class="blank _8"> </span>de <span class="blank _12"> </span>l<span class="blank _0"> </span>a <span class="blank _12"> </span>Transformada <span class="blank _12"> </span>Rápida <span class="blank _8"> </span>de <span class="blank _12"> </span>Fourier </div><div class="t m0 x5 h4 y112 ff2 fs1 fc0 sc0 ls4 ws7">(TRF<span class="lsa wsb">), <span class="blank _e"> </span><span class="ls4">la <span class="blank _d"> </span>cu<span class="blank _0"> </span>al, <span class="blank _d"> </span>a <span class="blank _e"> </span>pa<span class="blank _0"> </span>rtir <span class="blank _d"> </span>del <span class="blank _e"> </span>registro <span class="blank _e"> </span>de <span class="blank _e"> </span>la <span class="blank _d"> </span>superficie <span class="blank _e"> </span>libre <span class="blank _e"> </span>en <span class="blank _e"> </span>el <span class="blank _d"> </span>dominio <span class="blank _e"> </span>del </span></span></div><div class="t m0 x5 h4 y113 ff2 fs1 fc0 sc0 ls4 wsb">tiempo, <span class="blank _e"> </span>obtiene <span class="blank _f"> </span>la <span class="blank _f"> </span>cantidad <span class="blank _e"> </span>de <span class="blank _f"> </span>energ<span class="blank _0"> </span>ía <span class="blank _f"> </span>de <span class="blank _e"> </span>dicho <span class="blank _f"> </span>registro <span class="blank _f"> </span>en <span class="blank _f"> </span>función <span class="blank _e"> </span>de <span class="blank _f"> </span>la </div><div class="t m0 x5 h4 y114 ff2 fs1 fc0 sc0 ls4 wsb">frecuencia. </div><div class="t m0 x5 h4 y115 ff2 fs1 fc0 sc0 ls4 wsb">Además del <span class="blank _0"> </span>registro <span class="blank _0"> </span>de <span class="blank _0"> </span>la <span class="blank _0"> </span>superficie <span class="blank _0"> </span>por los <span class="blank _0"> </span>sensores <span class="blank _0"> </span>de <span class="blank _0"> </span>nivel, <span class="blank _0"> </span>se re<span class="blank _0"> </span>alizó un </div><div class="t m0 x5 h4 y116 ff2 fs1 fc0 sc0 ls4 wsb">registro <span class="blank _12"> </span>del <span class="blank _13"> </span>proceso <span class="blank _12"> </span>de <span class="blank"> </span>focali<span class="blank _2"></span>zación <span class="blank _12"> </span>por <span class="blank"> </span>m<span class="blank _2"></span>edio <span class="blank _12"> </span>de <span class="blank"> </span>u<span class="blank _2"></span>na <span class="blank _12"> </span>cámara <span class="blank _13"> </span>de <span class="blank _13"> </span>alta </div><div class="t m0 x5 h4 y117 ff2 fs1 fc0 sc0 ls4 wsb">velocidad. La cámara fue instalada en dos posiciones, para registrar la vista </div><div class="t m0 x5 h4 y118 ff2 fs1 fc0 sc0 ls4 wsb">lateral <span class="blank _1"> </span>y <span class="blank _d"> </span>frontal <span class="blank _d"> </span>del <span class="blank _1"> </span>proceso <span class="blank _d"> </span>de <span class="blank _1"> </span>focalización <span class="blank _d"> </span>(Figura <span class="blank _d"> </span>5). <span class="blank _1"> </span>El <span class="blank _d"> </span>registro <span class="blank _d"> </span>de <span class="blank _1"> </span>video </div><div class="t m0 x5 h4 y119 ff2 fs1 fc0 sc0 ls4 wsb">se <span class="blank _10"> </span>re<span class="blank _0"> </span>alizó <span class="blank _10"> </span>para <span class="blank _10"> </span>una <span class="blank _c"> </span>velocidad <span class="blank _10"> </span>de <span class="blank _c"> </span>700 <span class="blank _c"> </span>cuadros <span class="blank _10"> </span>por <span class="blank _c"> </span>segundo.<span class="blank _0"> </span> <span class="blank _c"> </span>La <span class="blank _c"> </span>Figura <span class="blank _10"> </span>5 </div><div class="t m0 x5 h4 y11a ff2 fs1 fc0 sc0 ls4 wsb">muestra <span class="blank _10"> </span>un <span class="blank _10"> </span>conjunto <span class="blank _10"> </span>de <span class="blank _10"> </span>fotogramas <span class="blank _10"> </span>obtenidas <span class="blank _10"> </span>a <span class="blank _10"> </span>partir <span class="blank _10"> </span>del <span class="blank _10"> </span>video <span class="blank _10"> </span>de <span class="blank _10"> </span>alta </div><div class="t m0 x5 h4 y11b ff2 fs1 fc0 sc0 ls4 wsb">velocidad <span class="blank _14"> </span>para <span class="blank _10"> </span>el <span class="blank _10"> </span>caso <span class="blank _10"> </span>de <span class="blank _14"> </span>incidencia <span class="blank _14"> </span>n<span class="blank _0"> </span>ormal <span class="blank _10"> </span>tant<span class="blank _2"></span>o <span class="blank _10"> </span>en <span class="blank _14"> </span>vista <span class="blank _10"> </span>lateral <span class="blank _10"> </span>(pan<span class="blank _2"></span>el </div><div class="t m0 x5 h4 y11c ff2 fs1 fc0 sc0 ls4 wsb">superior) <span class="blank"> </span>como <span class="blank _13"> </span>en <span class="blank _13"> </span>vista <span class="blank _13"> </span>frontal <span class="blank _13"> </span>(panel <span class="blank"> </span>inferior).<span class="blank _2"></span> <span class="blank"> </span>Para <span class="blank _13"> </span>el <span class="blank _13"> </span>caso <span class="blank _13"> </span>de <span class="blank"> </span>vista<span class="blank _2"></span> </div><div class="t m0 x5 h4 y11d ff2 fs1 fc0 sc0 ls4 wsb">lateral, <span class="blank _0"> </span>el <span class="blank _0"> </span>oleaje <span class="blank _1"> </span>viaja <span class="blank _0"> </span>de <span class="blank _1"> </span>derecha <span class="blank _0"> </span>a <span class="blank _1"> </span>izquierda, <span class="blank _0"> </span>alcanzando <span class="blank _1"> </span>un <span class="blank _0"> </span>máximo <span class="blank _1"> </span>en <span class="blank _0"> </span>la </div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pfa" class="pf w0 h0" data-page-no="a"><div class="pc pca w0 h0"><img fetchpriority="low" loading="lazy" class="bi x13 y11e w9 h23" alt="" src="https://files.passeidireto.com/a7819761-5d32-42d7-a27f-74e36ab8e0ff/bga.png"><div class="c x1 y1 w2 h2"><div class="t m0 x2 h3 y2 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y3 ff1 fs0 fc0 sc0 ls4 wsb"> </div></div><div class="c x4 y1 w3 h2"><div class="t m0 x3 h3 y4 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y5 ff1 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3 h3 y6 ff1 fs0 fc0 sc0 ls4 wsb">2019, Instituto Mexican<span class="blank _0"> </span>o de Tecnología del Agua<span class="blank _1"> </span> </div><div class="t m0 x3 h3 y7 ff1 fs0 fc0 sc0 ls4 wsb">Open Access bajo la lic<span class="blank _0"> </span>encia CC BY<span class="blank _0"> </span>-<span class="ls5 ws0">NC</span>-SA 4.0 </div><div class="t m0 x3 h3 y8 ff1 fs0 fc0 sc0 ls4 ws1">(https://creativeco<span class="blank"> </span>mmons.org/licen<span class="blank"> </span>ses/by<span class="blank _0"> </span>-<span class="ls6 ws2">nc</span><span class="wsb">-sa/4.0/)<span class="blank _0"> </span> </span></div></div><div class="t m0 x5 h4 y9 ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x6 h4 ya ff2 fs0 fc0 sc0 ls0 ws3">126<span class="fs1 ls4 wsb"> </span></div><div class="t m0 x5 h5 yb ff3 fs2 fc0 sc0 ls4 wsb">Tecnología y cien<span class="blank _2"></span>cias del<span class="blank _2"></span> agua<span class="ff2">, ISSN 20<span class="blank _2"></span>07-2422, 1<span class="blank _2"></span>0(6<span class="ls7 ws4">),</span> 117-146. DO<span class="blank _2"></span>I: 10.24850/j-t<span class="blank _2"></span>yca-201<span class="blank _2"></span>9-<span class="ls8 ws5">06</span>-05 </span></div><div class="t m0 x5 h4 yc ff2 fs1 fc0 sc0 ls4 wsb">zona <span class="blank _d"> </span>focal <span class="blank _e"> </span>a <span class="blank _d"> </span>los <span class="blank _e"> </span>143 <span class="blank _e"> </span>ms. <span class="blank _d"> </span>En <span class="blank _d"> </span>la <span class="blank _e"> </span>vista <span class="blank _d"> </span>fr<span class="blank _0"> </span>ontal <span class="blank _e"> </span>se <span class="blank _d"> </span>a<span class="blank _0"> </span>precia <span class="blank _d"> </span>la <span class="blank _e"> </span>vista <span class="blank _e"> </span>transversal </div><div class="t m0 x5 h4 y2e ff2 fs1 fc0 sc0 ls4 wsb">del <span class="blank _14"> </span>lente <span class="blank _10"> </span>y <span class="blank _14"> </span>el <span class="blank _10"> </span>oleaje <span class="blank _14"> </span>se <span class="blank _10"> </span>aproxima <span class="blank _14"> </span>de <span class="blank _10"> </span>atrás <span class="blank _14"> </span>hacia <span class="blank _14"> </span>adela<span class="blank _0"> </span>nte, <span class="blank _14"> </span>alcanzando <span class="blank _10"> </span>el </div><div class="t m0 x5 h4 y51 ff2 fs1 fc0 sc0 ls4 wsb">máximo a los 143 ms. </div><div class="t m0 xd h8 yf1 ff4 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3a h1e y11f ff2 fs0 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3b h8 y120 ff4 fs1 fc0 sc0 ls4 wsb">Figura 5<span class="ff2">. Fotogramas del regist<span class="blank _2"></span>ro de video de alta velocidad para el </span></div><div class="t m0 x9 h4 y121 ff2 fs1 fc0 sc0 ls4 wsb">proceso de focalización para incid<span class="blank _2"></span>encia normal en vista lateral (panel </div><div class="t m0 x3c h8 y122 ff2 fs1 fc0 sc0 ls4 wsb">izquierdo) y vista frontal (panel derecho<span class="lsa ws9">).</span><span class="ff4"> </span></div><div class="t m0 xd h6 y123 ff4 fs3 fc0 sc0 ls4 wsb"> </div><div class="t m0 xd h6 y124 ff4 fs3 fc0 sc0 ls4 wsb"> </div><div class="t m0 x3d h6 y125 ff4 fs3 fc0 sc0 ls4 wsb">Estanque num<span class="blank _2"></span>érico </div><div class="t m0 xd h6 y126 ff4 fs3 fc0 sc0 ls4 wsb"> </div><div class="t m0 xd h6 y127 ff4 fs3 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 h4 y128 ff2 fs1 fc0 sc0 ls4 wsb">Para <span class="blank _b"> </span>obtener <span class="blank _b"> </span>la <span class="blank _b"> </span>superficie <span class="blank _b"> </span>libre <span class="blank _6"> </span>simulada<span class="blank _0"> </span> <span class="blank _b"> </span>con <span class="blank _b"> </span>el <span class="blank _6"> </span>modelo <span class="blank _b"> </span>CELERIS, <span class="blank _b"> </span>se </div><div class="t m0 x5 h4 y129 ff2 fs1 fc0 sc0 ls4 wsb">implementó <span class="blank _0"> </span>una <span class="blank _1"> </span>réplica <span class="blank _1"> </span>numérica <span class="blank _1"> </span>del <span class="blank _1"> </span>EOFI-UNAM. <span class="blank _1"> </span>El <span class="blank _1"> </span>dominio <span class="blank _1"> </span>numérico <span class="blank _1"> </span>fue </div><div class="t m0 x5 h4 y12a ff2 fs1 fc0 sc0 ls4 wsb">dividido en <span class="blank _0"> </span>536 <span class="blank _0"> </span>celdas y <span class="blank _0"> </span>236 <span class="blank _0"> </span>celdas para <span class="blank _0"> </span>el largo <span class="blank _0"> </span>(10.7 <span class="blank _0"> </span>m) y <span class="blank _0"> </span>ancho (4.7 <span class="blank _0"> </span>m) </div><div class="t m0 x5 h4 y12b ff2 fs1 fc0 sc0 ls4 wsb">del <span class="blank _c"> </span>estanque, <span class="blank _c"> </span>re<span class="blank _0"> </span>spectivamente<span class="ls2b">, <span class="blank _c"> </span></span>quedando <span class="blank _c"> </span>así<span class="blank _0"> </span> <span class="blank _c"> </span>una <span class="blank _7"> </span>malla <span class="blank _7"> </span>rectangular <span class="blank _c"> </span>con </div><div class="t m0 x5 h4 y12c ff2 fs1 fc0 sc0 ls4 wsb">una <span class="blank _d"> </span>resolución <span class="blank _d"> </span>e<span class="blank _0"> </span>spacial <span class="blank _d"> </span>de <span class="blank _d"> </span>0.02 <span class="blank _e"> </span>m <span class="blank _d"> </span>(Figura <span class="blank _e"> </span>6). <span class="blank _d"> </span>La <span class="blank _e"> </span>generación <span class="blank _d"> </span>del <span class="blank _d"> </span>oleaje <span class="blank _d"> </span>en </div><div class="t m0 x5 h4 y12d ff2 fs1 fc0 sc0 ls4 wsb">el <span class="blank _0"> </span>estanque n<span class="blank _0"> </span>umérico <span class="blank _0"> </span>se <span class="blank _1"> </span>simuló por <span class="blank _1"> </span>medio <span class="blank _0"> </span>de <span class="blank _0"> </span>una <span class="blank _0"> </span>función <span class="blank _0"> </span>periódica <span class="blank _0"> </span>de <span class="blank _1"> </span>tipo </div><div class="t m0 x5 h4 y12e ff2 fs1 fc0 sc0 ls4 wsb">seno, <span class="blank _0"> </span>con <span class="blank _1"> </span>una <span class="blank _0"> </span>amplitud <span class="blank _0"> </span>de <span class="blank _1"> </span>0.0066 <span class="blank _0"> </span>m, <span class="blank _1"> </span>un <span class="blank _0"> </span>periodo <span class="blank _1"> </span>de <span class="blank _0"> </span>0.62 <span class="blank _1"> </span>s <span class="blank _0"> </span>y <span class="blank _0"> </span>una <span class="blank _0"> </span>dirección </div><div class="t m0 x5 h4 y12f ff2 fs1 fc0 sc0 ls4 wsb">de <span class="blank _f"> </span>0° <span class="blank _14"> </span>(perpendicular <span class="blank _14"> </span>al <span class="blank _f"> </span>eje <span class="blank _14"> </span>óptico <span class="blank _14"> </span>del <span class="blank _f"> </span>lente <span class="blank _14"> </span>elí<span class="blank _0"> </span>ptico), <span class="blank _14"> </span>en <span class="blank _14"> </span>la <span class="blank _f"> </span>frontera <span class="blank _10"> </span>este. </div><div class="t m0 x5 hb y130 ff2 fs1 fc0 sc0 ls4 wsb">Las <span class="blank _e"> </span>variables <span class="blank _e"> </span><span class="ff6 ws36">\uf068</span><span class="lsa">, <span class="blank _e"> </span></span><span class="ff3 ws7">P</span><span class="ls46"> <span class="ls2a">y <span class="blank _e"> </span><span class="ff3 ls3">Q <span class="blank _e"> </span></span></span></span>quedan <span class="blank _e"> </span>definidas <span class="blank _e"> </span>en <span class="blank _e"> </span>la <span class="blank _e"> </span>frontera <span class="blank _f"> </span>como <span class="blank _e"> </span><span class="ff7 ws39">\ueddf<span class="blank _13"> </span>\uf34c<span class="blank _8"> </span>\ued3d<span class="blank"> </span>\ue695\ue68b\ue690\udb80\udddb<span class="ls53 ws3a">\ued53\ued50<span class="blank"> </span></span>\uf346</span></div><div class="t m0 x5 hb y131 ff7 fs1 fc0 sc0 ls4 ws10">\ued47<span class="fs5 ls47 v12">\uf1eb</span><span class="ws3b">\ued54<span class="blank _7"> </span>\uf346<span class="blank"> </span>\ued47<span class="fs5 ls48 v12">\uf1ec</span></span>\ued55<span class="blank _0"></span>\udb80\udddc<span class="ff2 lsa wsb">; <span class="blank _a"> </span></span><span class="ws3c">\ued32<span class="blank _12"> </span>\uf34c<span class="blank _8"> </span>\ued3f<span class="blank"> </span><span class="ls17 ws3d">\ue685\ue691\ue695<span class="blank"> </span></span><span class="ff8 ws36">\ue81f<span class="fs5 ls49 v12">\ue81e</span><span class="ff2 ls4a wsb"> <span class="ls14">y <span class="blank _a"> </span></span></span></span>\ued33<span class="blank _12"> </span>\uf34c<span class="blank _12"> </span>\ued3f<span class="blank"> </span><span class="ls17 ws3e">\ue685\ue691\ue695<span class="blank"> </span></span><span class="ff8 ws36">\ue81f<span class="fs5 ls49 v12">\ue81e</span><span class="ff2 wsb">. <span class="blank _b"> </span>Donde <span class="blank _a"> </span></span></span><span class="ws11">\ued3f<span class="blank _12"> </span>\uf34c<span class="blank"> </span>\ued53<span class="blank _0"></span>\ue800\ued47<span class="blank _0"> </span><span class="ff2 lsa wsb">; <span class="blank _a"> </span></span>\ued53<span class="blank _12"> </span>\uf34c<span class="blank"> </span>\ue974<span class="ff8 ws36">\ue827</span></span></span>\ue800\ued36<span class="blank _0"></span><span class="ff2 lsa wsb">; <span class="blank _a"> </span></span>\ued47<span class="fs5 ls4b v12">\uf1eb</span>\uf34c</div><div class="t m0 x5 h24 y132 ff7 fs1 fc0 sc0 ls17 ws3f">\ue685\ue691\ue695<span class="ls1b va">\udb80\udddb</span><span class="ff8 ls4 ws36">\ue81f</span><span class="ls1b va">\udb80\udddc</span><span class="ls3d">\ued47<span class="ff2 ls2f wsb"> <span class="ls14">y <span class="blank"> </span></span></span><span class="ls4 ws10">\ued47<span class="fs5 ls4c v12">\uf1ec</span><span class="ws40">\uf34c<span class="blank"> </span>\ue695\ue68b\ue690\udb80\udddb<span class="ff8 ls4d">\ue81f</span></span>\udb80\udddc\ued47<span class="ff2 wsb">. <span class="blank"> </span>El <span class="blank"> </span>n<span class="blank _2"></span>úmero <span class="blank"> </span>de <span class="blank"> </span>on<span class="blank _2"></span>da <span class="blank"> </span><span class="ff3 ls3">k</span> <span class="blank"> </span>es <span class="blank _12"> </span>definido <span class="blank"> </span>utilizando <span class="blank _13"> </span>la </span></span></span></div><div class="t m0 x5 h4 y133 ff2 fs1 fc0 sc0 ls4 wsb">siguiente aproximación a l<span class="blank _2"></span>a ecuación de dispersión:<span class="blank _0"> </span> </div><div class="t m0 x5 h4 yfc ff2 fs1 fc0 sc0 ls4 wsb"> </div><div class="t m0 x5 hb y134 ff7 fs1 fc0 sc0 ls4 ws11">\ued47<span class="blank _12"> </span>\uf34c<span class="blank"> </span><span class="fs5 ls4e v5">\uf1ea</span><span class="fs6 v14">\uf22e</span></div><div class="t m0 x3e h25 y135 ff7 fs5 fc0 sc0 ls4f">\uf1da<span class="fs1 ls4 ws10 v8">\uf3a7<span class="ws41 v0">\ue685\ue691\ue696\ue68a<span class="blank"> </span>\udb80\udde1</span></span><span class="ls50 vf">\uf1ea</span><span class="fs6 ls51 v13">\uf22e</span><span class="ls4 vf">\uf1d7</span></div><div class="t m0 x3f h13 y135 ff7 fs5 fc0 sc0 ls52">\uf1da<span class="fs1 ls4 ws10 v8">\udb80\udde2<span class="ff2 ls14 wsb"> <span class="ls4">(7) </span></span></span></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div>
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