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

Authors:
I. Aavatsmark;T. Barkve;O. Bø
Affiliations:
-;-;-
Venue:
SIAM Journal on Scientific Computing
Year:
1998

Citing 0
Cited 10

Unstructured grid optimization for improved monotonicity of discrete solutions of elliptic equations with highly anisotropic coefficients

Journal of Computational Physics
Mesh locking effects in the finite volume solution of 2-D anisotropic diffusion equations

Journal of Computational Physics
A cell-centered diffusion scheme on two-dimensional unstructured meshes

Journal of Computational Physics
An anisotropic mesh adaptation method for the finite element solution of heterogeneous anisotropic diffusion problems

Journal of Computational Physics
Bad behavior of Godunov mixed methods for strongly anisotropic advection-dispersion equations

Journal of Computational Physics
Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle

SIAM Journal on Numerical Analysis
A nominally second-order accurate finite volume cell-centered scheme for anisotropic diffusion on two-dimensional unstructured grids

Journal of Computational Physics
Monotonic solution of heterogeneous anisotropic diffusion problems

Journal of Computational Physics
Error analysis of multipoint flux domain decomposition methods for evolutionary diffusion problems

Journal of Computational Physics
Mimetic finite difference method

Journal of Computational Physics

Quantified Score

Hi-index	0.05

Visualization

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.