{"id":72726,"date":"2018-03-09T23:17:33","date_gmt":"2018-03-09T23:17:33","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/high-order-accurate-shock-capturing-schemes-for-hyperbolic-conservation-laws-based-on-a-new-class-of-limiters\/"},"modified":"2018-03-09T23:17:33","modified_gmt":"2018-03-09T23:17:33","slug":"high-order-accurate-shock-capturing-schemes-for-hyperbolic-conservation-laws-based-on-a-new-class-of-limiters","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/high-order-accurate-shock-capturing-schemes-for-hyperbolic-conservation-laws-based-on-a-new-class-of-limiters\/","title":{"rendered":"High order accurate shock capturing schemes for hyperbolic conservation laws based on a new class of limiters"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Susana Serna Salichs <\/strong><\/h2>\n<p>Hemos introducido nuevos metodos de captura de ondas de choque que reducen la difusion numerica en las discontinuidades, definen nitidamente las discontinuidades en derivada y evitan las oscilaciones espureas, mejorando el comportamiento de los esquemas esencialmente no oscilatorios y los metodos hiperbolicos a trozos. Hemos introducido y analizado una nueva clase de funciones limitadoras, los llamados &#8216; power limiters&#8217; que son una herramienta esencial para la construccion de estos esquemas. Hemos utilizado el limitador \u00abpowereno\u00bb como limitador de pendiente para el diseno de un nuevo metodo hiperbolico a trozos que llamamos  metodo power phm. Tambien hemos utilizado el limitador powereno aplicado a segundas diferencias contiguas para construir el metodo powereno. Hemos analizado un nuevo metodo de quinto orden de precision espacial, el metodo weighted powereno, como una combinacion convexa no lineal de las tres parabolas powereno. Hemos comprobado la robustez, estabilidad y precision de los esquemas propuestos para un conjunto de problemas modelo mediante varios experimentos numericos. Finalmente hemos demostrado la capacidad de los esquemas presentados en la resolucion de las escalas finas en el entorno de interfases inestables mediante el calculo de inestabilidades de rayleigh-taylor y richtmyer-meshkov.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>High order accurate shock capturing schemes for hyperbolic conservation laws based on a new class of limiters<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 High order accurate shock capturing schemes for hyperbolic conservation laws based on a new class of limiters <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Susana Serna Salichs <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Universitat de val\u00e9ncia (estudi general)<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 15\/02\/2005<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Antonio Marquina Vila<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: alfredo Berm\u00fadez de castro l\u00f3pez-varela <\/li>\n<li>joachim Schroll hans (vocal)<\/li>\n<li>Francisco Michavila pitarch (vocal)<\/li>\n<li> De frutos baraja Javier (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Susana Serna Salichs Hemos introducido nuevos metodos de captura de ondas de choque que reducen la difusion [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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