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Coupling staggered-grid and MPFA finite volume methods for free flow/porous-medium flow problems. (English) Zbl 1453.76109
Summary: A discretization is proposed for models coupling free flow with anisotropic porous-medium flow. Our approach employs a staggered-grid finite volume method for the Navier-Stokes equations in the free-flow subdomain and a MPFA finite volume method to solve Darcy flow in the porous medium. After appropriate spatial refinement in the free-flow domain, the degrees of freedom are conveniently located to allow for a natural coupling of the two discretization schemes. In turn, we automatically obtain a more accurate description of the flow field surrounding the porous medium. Numerical experiments highlight the stability and applicability of the scheme in the presence of anisotropy and second-order grid convergence was found in both domains, verifying our approach.
MSC:
76M12 Finite volume methods applied to problems in fluid mechanics
76S05 Flows in porous media; filtration; seepage
76N06 Compressible Navier-Stokes equations
Software:
DuMuX; UMFPACK
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