On efficient simulation of non-Newtonian flow in saturated porous media with a multigrid adaptive refinement solver

摘要: Flow of non-Newtonian fluid in saturated porous media can be described by the continuity equation and generalized Darcy law. Here we discuss efficient solution resulting second order nonlinear elliptic equation. The is discretized finite volume method on a cell-centered grid. Local adaptive refinement grid introduced to reduce number unknowns. We develop special implementation, that allows us perform unstructured local conjunction with discretization. Two residual based error indicators are exploited criterion. Second accurate discretization fluxes interfaces between refined non-refined subdomains, as well boundaries Dirichlet boundary condition, presented here an essential part algorithm. A full approximation storage multigrid algorithm developed especially for above composite (coarse plus locally refined) approach. In particular, around result quadratic slave nodes multigrid-adaptive (MG-AR) Results from numerical various academic practice-induced problems performance solver discussed.