MPFA algorithm for solving stokes-brinkman equations on quadrilateral grids

Oleg Iliev, Ralf Kirsch, Zahra Lakdawala, Galina Printsypar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

This work is concerned with the development of a robust and accurate numerical method for solving the Stokes-Brinkman system of equations, which describes a free fluid flow coupled with a flow in porous media. Quadrilateral boundary fitted grid with a sophisticated finite volume method, namely MPFA O-method, is used to discretize the system of equations. Numerical results for two examples are presented, namely, channel flow and flow in a ring with a rolled porous medium. © Springer International Publishing Switzerland 2014.
Original languageEnglish (US)
Title of host publicationFinite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems
PublisherSpringer Nature
Pages647-654
Number of pages8
ISBN (Print)9783319055909
DOIs
StatePublished - May 16 2014

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