Discretization on Unstructured Grids For Inhomogeneous, Anisotropic Media. Part II: Discussion And Numerical Results

Abstract

A companion paper, Part I [SIAM J. Sci. Comput., 19 (1998), pp. 1700--1716], presents discretization methods for control-volume formulations in two space dimensions. Properties of the developed methods are further discussed, including rotational invariance and stability under the influence of anisotropy. Strong anisotropy may have to be handled by use of stretched grid cells. Numerical examples that demonstrate strengths and weaknesses of the methods are presented. The examples focus on inhomogeneity, anisotropy, and rotational invariance.