Publications

MPFA Algorithm for Solving Stokes-Brinkman Equations on Quadrilateral Grids

Bibliography:

​O.Iliev, Z.Lakdawala, G.Printsypar, MPFA Algorithm for Solving Stokes-Brinkman Equations on Quadrilateral Grids, Springer Proceedings in Mathematics  and Statistics, Finite Volumes for Complex Applications VII, FVCA7, Berlin, Germany (2014)

Authors:

O.Iliev, Z.Lakdawala, G.Printsypar

Keywords:

MPFA O-method, Stokes-Brinkman equations, irregular grids

Year:

2014

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 grids 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.

ISSN:

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