Error analysis of a subgrid eddy viscosity multi-scale discretization of the Navier-Stokes equations

• Autores: Christine Bernardi, Tomás Chacón Rebollo , Macarena Gómez Mármol
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Nº. 60, 2012, págs. 51-74
• Idioma: inglés
• DOI: 10.1007/bf03391710
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• Resumen

  • 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.