An efficient cell-centered diffusion scheme for quadrilateral grids

被引：41

作者：

Basko, M. M. ^{[1
]}

Maruhn, J. ^{[2
]}

Tauschwitz, An. ^{[2
]}

机构：

[1] GSI Darmstadt, D-6100 Darmstadt, Germany

[2] Univ Frankfurt, Frankfurt, Germany

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2009年 / 228卷 / 06期

关键词：

Diffusion equation; Quadrilateral grid; Cell-centered scheme; FINITE-VOLUME SCHEMES; POLYGONAL MESHES; EQUATIONS;

D O I：

10.1016/j.jcp.2008.11.031

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A new algorithm for solution of diffusion equations in two dimensions on structured quadrilateral grids is proposed. The algorithm is based on a semi-implicit method for the time discretization and has a nine-point local stencil in space. Our scheme is fast, quite accurate and demonstrates good spatial convergence. The presented numerical tests show that it is well suited for hydrocodes with cell-centered principal variables. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：2175 / 2193

页数：19

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