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Approximate solutions of the Brinkman-Forscheimer model. (English) Zbl 1373.76213

Summary: This article discusses approximation methods for solving the strongly nonlinear Brinkman-Forscheimer equation describing the unidirectional flow of fluid through a horizontal channel filled with porous medium. Comparisons were made of approximations by semi-analytic methods and the finite difference method for this nonlinear problem.
The results indicated that the approximations by the finite difference method compared well with solutions by semi-analytic methods in the literature.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
76S05 Flows in porous media; filtration; seepage
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