Incorporating variable viscosity in vorticity-based formulations for Brinkman equations
Numerical Analysis
2019-05-07 v1
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
Cite
@article{arxiv.1905.01779,
title = {Incorporating variable viscosity in vorticity-based formulations for Brinkman equations},
author = {Verónica Anaya and Bryan Gómez-Vargas and David Mora and Ricardo Ruiz-Baier},
journal= {arXiv preprint arXiv:1905.01779},
year = {2019}
}