A local mesh refinement multigrid method for 3-D convection problems with strongly variable viscosity

被引：36

作者：

Albers, M ^{[1
]}

机构：

[1] Inst Geophys, D-37075 Gottingen, Germany

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2000年 / 160卷 / 01期

关键词：

finite-volume discretization; multigrid methods; local mesh refinements; 3-D fluid flow; variable viscosity;

D O I：

10.1006/jcph.2000.6438

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A numerical method for solving 3-D convection problems with variable viscosity in Cartesian geometry is presented. Equations for conservation of mass, momentum, and energy are solved using a second-order finite-volume discretization in combination with a multigrid method. Viscosity variations of 10 orders of magnitude are considered. Convergence deteriorates with increasing viscosity variations, but modifications of the multigrid algorithm are found to improve the robustness of the numerical method for very large viscosity contrasts. An efficient and Flexible local mesh refinement technique is presented which is applied to various convection problems with variable viscosity. Comparisons with other numerical methods reveal that accurate results are obtained even when viscosity varies strongly. (C) 2000 Academic Press.

引用

页码：126 / 150

页数：25

共 45 条

[1] THE MULTI-GRID METHOD FOR THE DIFFUSION EQUATION WITH STRONGLY DISCONTINUOUS COEFFICIENTS [J].