Incorporating variable viscosity in vorticity-based formulations for Brinkman equations

Anaya V.; Gómez-Vargas B.; Mora D.; Ruiz-Baier R.

Abstract

In this brief note, we introduce a non-symmetric mixed finite element formulation for Brinkman equations written in terms of velocity, vorticity, and pressure with non-constant viscosity. The analysis is performed by the classical BabuSla-Brezzi theory, and we state that any inf-sup stable finite element pair for Stokes approximating velocity and pressure can be coupled with a generic discrete space of arbitrary order for the vorticity. We establish optimal a priori error estimates, which are further confirmed through computational examples. (C) 2019 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

Más información

Título según WOS: Incorporating variable viscosity in vorticity-based formulations for Brinkman equations
Título según SCOPUS: Incorporating variable viscosity in vorticity-based formulations for Brinkman equations [Intégration de la viscosité variable dans des formulations en tourbillon pour les équations de Brinkman]
Título de la Revista: COMPTES RENDUS MATHEMATIQUE
Volumen: 357
Número: 6
Editorial: ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
Fecha de publicación: 2019
Página de inicio: 552
Página final: 560
Idioma: English
DOI:

10.1016/j.crma.2019.06.006

Notas: ISI, SCOPUS