An improved monotone finite volume scheme for diffusion equation on polygonal meshes

被引：62

作者：

Sheng, Zhiqiang ^{[1
]}

Yuan, Guangwei ^{[1
]}

机构：

[1] Inst Appl Phys & Computat Math, Lab Sci & Technol Computat Phys, Beijing 100088, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2012年 / 231卷 / 09期

关键词：

Monotonicity; Finite volume scheme; Diffusion equation; Cell-centered unknowns; DISCRETE MAXIMUM PRINCIPLE; DISTORTED QUADRILATERAL MESHES; ANISOTROPIC DIFFUSION; DIFFERENCE METHOD; GENERAL MESHES; OPERATORS; APPROXIMATIONS; GRIDS;

D O I：

10.1016/j.jcp.2012.01.015

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We construct a new nonlinear monotone finite volume scheme for diffusion equation on polygonal meshes. The new scheme uses the cell-edge unknowns instead of cell-vertex unknowns as the auxiliary unknowns in order to improve the accuracy of monotone scheme. Our scheme is locally conservative and has only cell-centered unknowns. Numerical results are presented to show how our scheme works for preserving positivity on various distorted meshes. Specially, numerical results show that the new scheme is robust, and more accurate than the existing monotone scheme on some kinds of meshes. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：3739 / 3754

页数：16

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