A two-grid method of a mixed Stokes-Darcy model for coupling fluid flow with porous media flow. (English) Zbl 1146.76031
Summary: We study numerical methods for solving a coupled Stokes-Darcy problem in porous media flow applications. A two-grid method is proposed for decoupling the mixed model by a coarse grid approximation to the interface coupling conditions. Error estimates are derived for the proposed method. Both theoretical analysis and numerical experiments show the efficiency and effectiveness of the two-grid approach for solving multimodeling problems. Potential extensions and future directions are discussed.
MSC:
76M10 | Finite element methods applied to problems in fluid mechanics |
76S05 | Flows in porous media; filtration; seepage |
76D07 | Stokes and related (Oseen, etc.) flows |
65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
65M55 | Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs |