Certified Reduced Basis VMS-Smagorinsky model for natural convection flow 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...
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| Veröffentlicht in: | Computers & mathematics with applications (1987) 2020-09, Vol.80 (5), p.973-989 |
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| container_title | Computers & mathematics with applications (1987) |
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| creator | Ballarin, Francesco Chacón Rebollo, Tomás Delgado Ávila, Enrique Gómez Mármol, Macarena Rozza, Gianluigi |
| description | 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 lets us obtain an affine 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 different parameter configuration. |
| doi_str_mv | 10.1016/j.camwa.2020.05.013 |
| format | Article |
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| ispartof | Computers & mathematics with applications (1987), 2020-09, Vol.80 (5), p.973-989 |
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| subjects | a posteriori error estimation Approximation Basis functions Boussinesq equations Eddy viscosity Empirical interpolation method Free convection Greedy algorithms Interpolation Mathematical models Parameters Reduced basis method Smagorinsky LES model |
| title | Certified Reduced Basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height |
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