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arXiv · 1905.01779

Incorporating variable viscosity in vorticity-based formulations for Brinkman equations

Verónica Anaya·Bryan Gómez-Vargas·David Mora·Ricardo Ruiz-Baier
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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 Babu\v{s}ka-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

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Verónica Anaya, Bryan Gómez-Vargas, David Mora, Ricardo Ruiz-Baier. 2019-05-06. Incorporating variable viscosity in vorticity-based formulations for Brinkman equations. https://arxiv.org/abs/1905.01779

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