Article
Certified Reduced Basis VMS-Smagorinsky model for natural convection ow in a cavity with variable height
Author/s | Ballarin, Francesco
Chacón Rebollo, Tomás Delgado Ávila, Enrique Gómez Mármol, María Macarena Rozza, Gianluigi |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2020-02-03 |
Deposit Date | 2023-11-03 |
Published in |
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Abstract | 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. |
Citation | 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. |
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