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.
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CITATION STYLE
Iliev, O., Kirsch, R., Lakdawala, Z., & Printsypar, G. (2014). MPFA algorithm for solving stokes-brinkman equations on quadrilateral grids. In Springer Proceedings in Mathematics and Statistics (Vol. 78, pp. 647–654). Springer New York LLC. https://doi.org/10.1007/978-3-319-05591-6_64
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