Discretization on unstructured grids for inhomogeneous, anisotropic media. II: Discussion and numerical results. (English) Zbl 0951.65082

Discretization methods developed in part I [ibid. 19, No. 5, 1700-1716 (1998; reviewed above)] for conservation laws with a flux defined by the gradient law are investigated. Namely, positivity conditions of transmissibilities associated with cell interfaces are obtained. Two different transformations are intruduced in order to modify and to adjust the initial grid with account of anisotropy. Numerical examples are given and the developed approaches are compared.


65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35R05 PDEs with low regular coefficients and/or low regular data
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
35L65 Hyperbolic conservation laws
76M20 Finite difference methods applied to problems in fluid mechanics
76S05 Flows in porous media; filtration; seepage


Zbl 0951.65080
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