On a Multigrid Adaptive Refinement Solver for Saturated Non-Newtonian Flow in Porous Media

作者: Willy Dörfler , Oleg Iliev , Dimitar Stoyanov , Daniela Vassileva

DOI: 10.1007/3-540-36487-0_19

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摘要: A multigrid adaptive refinement algorithm for non-Newtonian flow in porous media is presented. The saturated of fluid described by continuity equation and generalized Darcy law. resulting second order nonlinear elliptic discretized finite volume method on cell-centered grid. full-multigrid, full-approximation-storage implemented. Singe grid solver, based Picard linearization Gauss-Seidel relaxation, used as a smoother. Further, local composite developed. residual error indicator the criterion. special implementation approach used, which allows us to perform unstructured conjunction with discretization. Several results from numerical experiments are presented examine performance solver.

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