{"id":116532,"date":"2018-03-11T10:45:40","date_gmt":"2018-03-11T10:45:40","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/approximation-of-phase-field-models-with-meshfree-methods-exploring-biomembrane-dynamics\/"},"modified":"2018-03-11T10:45:40","modified_gmt":"2018-03-11T10:45:40","slug":"approximation-of-phase-field-models-with-meshfree-methods-exploring-biomembrane-dynamics","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/analisis-numerico\/approximation-of-phase-field-models-with-meshfree-methods-exploring-biomembrane-dynamics\/","title":{"rendered":"Approximation of phase-field models with meshfree methods: exploring biomembrane dynamics"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Christian Peco Regales <\/strong><\/h2>\n<p>Las biomembranas constituyen la estructura de separaci\u00f3n fundamental en las celulas animales, y son importantes en el dise\u00f1o de sistemas bioinspirados. Su simulaci\u00f3n presenta desaf\u00edos, especialmente cuando \u00e9sta implica din\u00e1mica y grandes cambios de forma o se estudian sistemas microm\u00e9tricos, impidiendo el uso de modelos atom\u00edsticos y de grano grueso. El objetivo principal de esta tesis es el desarrollo de un marco computacional para entender la din\u00e1mica de biomembranas inmersas en fluido viscoso usando modelos de campo de fase. Los modelos de campo de fase introducen un campo escalar cont\u00ednuo que define una interfase difusa, cuya f\u00edsica est\u00e1 codificada en las ecuaciones en derivadas parciales que la gobiernan. Estos modelos son capaces de soportar cambios dram\u00e1ticos de forma y topolog\u00eda, y facilitan el acoplamiento de distintos fen\u00f3menos f\u00edsicos. No obstante, presentan desaf\u00edos num\u00e9ricos significativos, como el alto orden de las ecuaciones, la resoluci\u00f3n de frentes m\u00f3viles y abruptos, o una eficiente integraci\u00f3n en el tiempo. En esta disertaci\u00f3n abordamos estos puntos mediante la combinaci\u00f3n de una discretizaci\u00f3n espacial con m\u00e9todos sin malla usando las funciones base locales de m\u00e1xima entrop\u00eda, y una formulaci\u00f3n variacional lagrangiana para acoplamiento el\u00e1stico-hidrodin\u00e1mico. La suavidad del m\u00e9todo sin malla genera una aproximaci\u00f3n precisa del campo de fase y puede lidiar f\u00e1cilmente con adaptatividad local, la aproximaci\u00f3n lagrangiana extiende de manera natural esta adaptividad a la din\u00e1mica, y la formulaci\u00f3n variacional permite una integraci\u00f3n variacional temporal no linealmente estable y robusta.  La implementaci\u00f3n num\u00e9rica de estos m\u00e9todos en un entorno de computaci\u00f3n de alto rendimiento ha motivado el desarrollo de un nuevo c\u00f3digo computacional. Este c\u00f3digo integra el estado del arte de las librer\u00edas en paralelo e incorpora importantes contribuciones t\u00e9cnicas para solventar cuellos de botella que aparecen con el uso de m\u00e9todos sin malla en computaci\u00f3n a gran escala. El c\u00f3digo resultante es flexible y ha sido aplicado a otros problemas cient\u00edficos en varias colaboraciones que incluyen flexoelectricidad, conformado met\u00e1lico, fluidos viscosos  o fractura en materiales con energ\u00eda de superficie altamente anisotr\u00f3pica.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Approximation of phase-field models with meshfree methods: exploring biomembrane dynamics<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Approximation of phase-field models with meshfree methods: exploring biomembrane dynamics <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Christian Peco Regales <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de catalunya<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 28\/10\/2014<\/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>Marino Arroyo Balaguer<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: ignacio Romero <\/li>\n<li>h\u00e9ctor G\u00f3mez d\u00edaz (vocal)<\/li>\n<li>  (vocal)<\/li>\n<li>  (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Christian Peco Regales Las biomembranas constituyen la estructura de separaci\u00f3n fundamental en las celulas animales, y son [&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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