Article
Error analysis of a subgrid eddy viscosity multi-scale discretization of the Navier-Stokes equations
Author/s | Bernardi, Christine
Chacón Rebollo, Tomás ![]() ![]() ![]() ![]() ![]() ![]() ![]() Gómez Mármol, María Macarena ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2012-08-14 |
Deposit Date | 2015-12-15 |
Published in |
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Abstract | We propose a finite element discretization of the Navier–Stokes equations
that relies on the variational multi-scale approach together with the addition of a Smagorinsky type viscosity, in order to take into account ... We propose a finite element discretization of the Navier–Stokes equations that relies on the variational multi-scale approach together with the addition of a Smagorinsky type viscosity, in order to take into account possible subgrid turbulence. We recall that the discrete problem admits a solution and prove a priori error estimates. Next we perform the a posteriori analysis of the discretization. Some numerical experiments justify the interest of this approach. |
Citation | Bernardi, C., Chacón Rebollo, T. y Gómez Mármol, M.M. (2012). Error analysis of a subgrid eddy viscosity multi-scale discretization of the Navier-Stokes equations. |
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