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MPFA algorithm for solving Stokes-Brinkman equations on quadrilateral grids

: Iliev, O.; Kirsch, R.; Lakdawala, Z.; Printsypar, G.


Fuhrmann, J.:
Finite Volumes for Complex Applications VII - Elliptic, Parabolic and Hyperbolic Problems : FVCA 7, Berlin, June 2014
Cham: Springer International Publishing, 2014 (Springer Proceedings in Mathematics & Statistics 78)
ISBN: 978-3-319-05590-9 (Print)
ISBN: 978-3-319-05591-6 (Online)
Conference on "Finite Volumes for Complex Applications" (FVCA) <7, 2014, Berlin>
Conference Paper
Fraunhofer ITWM ()

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.