Certified Reduced Basis VMS-Smagorinsky model for natural convection ow in a cavity with variable height
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 numbe...
| Autores: | , , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/150073 |
| Acceso en línea: | https://hdl.handle.net/11441/150073 https://doi.org/10.1016/j.camwa.2020.05.013 |
| Access Level: | acceso abierto |
| Palabra clave: | Reduced basis method Empirical interpolation method a pos- teriori error estimation Boussinesq equations Smagorinsky turbulence model |
| Sumario: | 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. |
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