Aavatsmark, I.; Barkve, T.; Bøe, O.; Mannseth, T. Discretization on unstructured grids for inhomogeneous, anisotropic media. II: Discussion and numerical results. (English) Zbl 0951.65082 SIAM J. Sci. Comput. 19, No. 5, 1717-1736 (1998). 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. Reviewer: Ramaz Bochorishvili (Tbilisi) Cited in 68 Documents MSC: 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 Keywords:control-volume discretizations; unstructured grids; anisotropy; inhomogeneity; conservation laws; numerical examples Citations:Zbl 0951.65080 PDFBibTeX XMLCite \textit{I. Aavatsmark} et al., SIAM J. Sci. Comput. 19, No. 5, 1717--1736 (1998; Zbl 0951.65082) Full Text: DOI