{"id":60513,"date":"2018-03-09T22:48:22","date_gmt":"2018-03-09T22:48:22","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/a-finite-element-method-for-solving-the-incompressible-navier-stokes-equations-at-low-and-high-reynolds-numbers-using-finite-calculus-application-to-fluid-structure-interaction\/"},"modified":"2018-03-09T22:48:22","modified_gmt":"2018-03-09T22:48:22","slug":"a-finite-element-method-for-solving-the-incompressible-navier-stokes-equations-at-low-and-high-reynolds-numbers-using-finite-calculus-application-to-fluid-structure-interaction","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/fisica-de-fluidos\/a-finite-element-method-for-solving-the-incompressible-navier-stokes-equations-at-low-and-high-reynolds-numbers-using-finite-calculus-application-to-fluid-structure-interaction\/","title":{"rendered":"A finite element method for solving the incompressible navier-stokes equations at low and high reynolds numbers using finite calculus. application to fluid-structure interaction."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Henrik Lynga <\/strong><\/h2>\n<p>El objetivo principal de esta tesis es desarrollar un m\u00e9todo estabilizado mediante elementos finitos (fem) para resolver las ecuaciones incompresibles de navier-stokes. Usando \u00abfinite calculus\u00bb (fic), que es una metodolog\u00eda desarrollada por e. O\u00f1ate et al. En cimne (centro internacional de m\u00e9todos num\u00e9ricos en ingenier\u00eda), flujos de un amplio rango de n\u00fameros de reynolds pueden ser modelados. El segundo objetivo es probar la aplicabilidad del modelo fic\/fem a problemas de interacci\u00f3n fluido-estructura (fsi) acentuando aeroelasticidad. La implementaci\u00f3n del modelo se ha realizado dentro de kratos, un c\u00f3digo desarrollado en cimne para resolver problemas multi-f\u00edsica.  debido a que la ecuaci\u00f3n de convecci\u00f3n-difusi\u00f3n se puede mirar como una versi\u00f3n lineal y escalar de las ecuaciones de navier-stokes gobernando la conservaci\u00f3n del momento y comparte el problema de las soluciones oscilantes debido al t\u00e9rmino de la convecci\u00f3n siendo dominante un cap\u00edtulo entero se dedica a esta ecuaci\u00f3n. Se introduce el modelo fic\/fem y su capacidad de solucionar la ecuaci\u00f3n de la convecci\u00f3n-difusi\u00f3n se prueba y se compara con otros m\u00e9todos estabilizados est\u00e1ndares tales como galerkin\/least-squares (gls), streamline upwind petrov-petrov-galerkin (supg) etc. Los resultados obtenidos usando tanto elementos lineales como cuadr\u00e1ticos son satisfactorios. Sin embargo, adem\u00e1s de ser computacionalmente m\u00e1s baratos, los lineales son t\u00edpicamente mejores.  aparte de los problemas que ocurren cuando el t\u00e9rmino de convecci\u00f3n domina las ecuaciones incompresibles de navier-stokes, estas sufren de otra fuente de inestabilidad. Dicho problema viene del hecho de que la condici\u00f3n de la incompresibilidad para algunas combinaciones de interpolaci\u00f3n de la velocidad y de la presi\u00f3n da lugar a incompatibilidad entre \u00e9stos. Como consecuencia se producen  oscilaciones en el campo de la presi\u00f3n.Nos vemos obligados al dise\u00f1o de m\u00e9todos estabilizados para obtener resultados co<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>A finite element method for solving the incompressible navier-stokes equations at low and high reynolds numbers using finite calculus. application to fluid-structure interaction.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 A finite element method for solving the incompressible navier-stokes equations at low and high reynolds numbers using finite calculus. application to fluid-structure interaction. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Henrik Lynga <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de catalunya<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 20\/09\/2007<\/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>Eugenio O\u00f1ate Ib\u00e1\u00f1ez De Navarra<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: sergio Idelsohn <\/li>\n<li>goran Sandberg (vocal)<\/li>\n<li>riccardo Rossi (vocal)<\/li>\n<li>kai-uwe Bletzinger (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Henrik Lynga El objetivo principal de esta tesis es desarrollar un m\u00e9todo estabilizado mediante elementos finitos (fem) [&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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