{"id":102751,"date":"2010-12-07T00:00:00","date_gmt":"2010-12-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/stabilized-finite-element-approximation-of-the-incompressible-mhd-equations\/"},"modified":"2010-12-07T00:00:00","modified_gmt":"2010-12-07T00:00:00","slug":"stabilized-finite-element-approximation-of-the-incompressible-mhd-equations","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/fisica\/stabilized-finite-element-approximation-of-the-incompressible-mhd-equations\/","title":{"rendered":"Stabilized finite element approximation of the incompressible mhd equations"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Noel Hern\u00e1ndez Silva <\/strong><\/h2>\n<p>No es frecuente encontrar un campo donde dos ramas principales de la f\u00edsica est\u00e9n involucradas. La magnetohidrodin\u00e1mica es uno de tales campos debido a que involucra a la mec\u00e1nica de fluidos y al electromagnetismo. Aun cuando puede parecer que esas dos ramas de la f\u00edsica tienen poco en com\u00fan, comparten similitudes en las ecuaciones que gobiernan los fen\u00f3menos involucrados en ellas. Las ecuaciones de navier-stokes y las ecuaciones de maxwell, ambas en la r\u00e1iz de la magnetohidrodin\u00e1mica, tienen una condici\u00f3n de divergencia nula y es esta condici\u00f3n de divergencia nula sobre la velocidad del fluido y el campo magn\u00e9tico lo que origina algunos de los problemas num\u00e9ricos que surgen en la modelaci\u00f3n de los fen\u00f3menos donde el flujo de fluidos y los campos magn\u00e9ticos est\u00e1n acoplados.  el principal objetivo de este trabajo es desarrollar un algoritmo eficiente para la resoluci\u00f3n mediante elementos finitos de las ecuaciones de la magnetohidrodin\u00e1mica de fluidos incompresibles.   para lograr esta meta, los conceptos b\u00e1sicos y las caracter\u00edsticas de la magnetohidrodin\u00e1mica se presentan en una breve introducci\u00f3n informal.  a continuaci\u00f3n, se da una revisi\u00f3n completa de las ecuaciones de gobierno de la magnetohidrodin\u00e1mica, comenzando con las ecuaciones de navier-stokes y las ecuaciones de maxwell. Se discute la aproximaci\u00f3n que da origen a las ecuaciones de la magnetohidrodin\u00e1mica y finalmente se presentan las ecuaciones de la magnetohidrodin\u00e1mica. Una vez que las ecuaciones de gobierno de la magnetohidrodin\u00e1mica han sido definidas, se presentan los esquemas num\u00e9ricos desarrollados, empezando con la linealizaci\u00f3n de las ecuaciones originales, la formulaci\u00f3n estabilizada y finalmente el esquema num\u00e9rico propuesto. En esta etapa se presenta una prueba de convergencia.  finalmente, se presentan los ejemplos num\u00e9ricos desarrollados durante este trabajo.Estos ejemplos pueden dividirse en dos grupos: ejemplos num\u00e9ricos de comparaci\u00f3n y ejemplos de inter\u00e9s tecnol\u00f3gico. Dentro del primer grupo est\u00e1n incluidas simulaciones del flujo de hartmann y del flujo sobre un escal\u00f3n. El segundo grupo incluye simulaciones del flujo en una tobera de inyecci\u00f3n de colada continua y el proceso czochralski de crecimiento de cristales.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Stabilized finite element approximation of the incompressible mhd equations<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Stabilized finite element approximation of the incompressible mhd equations <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Noel Hern\u00e1ndez Silva <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de catalunya<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 12\/07\/2010<\/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>Ram\u00f3n Codina Rovira<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Miguel Cervera ruiz <\/li>\n<li>joaqu\u00edn Zueco jord\u00e1n (vocal)<\/li>\n<li>Francisco Armero (vocal)<\/li>\n<li>Javier Principe ricardo (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Noel Hern\u00e1ndez Silva No es frecuente encontrar un campo donde dos ramas principales de la f\u00edsica est\u00e9n [&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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