Artículo
Certified Reduced Basis VMS-Smagorinsky model for natural convection ow in a cavity with variable height
Autor/es | Ballarin, Francesco
Chacón Rebollo, Tomás ![]() ![]() ![]() ![]() ![]() ![]() ![]() Delgado Ávila, Enrique ![]() ![]() ![]() ![]() ![]() ![]() Gómez Mármol, María Macarena ![]() ![]() ![]() ![]() ![]() ![]() ![]() Rozza, Gianluigi |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2020-02-03 |
Fecha de depósito | 2023-11-03 |
Publicado en |
|
Resumen | In this work we present a Reduced Basis VMS-Smagorinsky Boussinesq
model, applied to natural convection problems in a variable height cavity,
in which the buoyancy forces are involved. We take into account in this
problem ... In this work we present a Reduced Basis VMS-Smagorinsky Boussinesq model, applied to natural convection problems in a variable height cavity, in which the buoyancy forces are involved. We take into account in this problem both physical and geometrical parametrizations, considering the Rayleigh number as a parameter, so as the height of the cavity. We perform an Empirical Interpolation Method to approximate the sub-grid eddy viscosity term that let us obtain an a ne decomposition with respect to the parameters. We construct an a posteriori error estimator, based upon the Brezzi-Rappaz-Raviart theory, used in the greedy algorithm for the selection of the basis functions. Finally we present several numerical tests for di erent parameter con guration. |
Cita | Ballarin, F., Chacón Rebollo, T., Delgado Ávila, E., Gómez Mármol, M.M. y Rozza, G. (2020). Certified Reduced Basis VMS-Smagorinsky model for natural convection ow in a cavity with variable height. Computers & Mathematics with Applications, 80 (5), 973-989. https://doi.org/10.1016/j.camwa.2020.05.013. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Certified Reduced Basis VMS-Sm ... | 3.054Mb | ![]() | Ver/ | |