A direct Eulerian GRP scheme for compressible fluid flows

被引：106

作者：

Ben-Artzi, Matania

Li, Jiequan

Warnecke, Gerald

机构：

[1] Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China

[2] Hebrew Univ Jerusalem, Dept Math, IL-91904 Jerusalem, Israel

[3] Univ Magdeburg, Inst Anal & Numer, D-39106 Magdeburg, Germany

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2006年 / 218卷 / 01期

基金：

美国国家科学基金会;

关键词：

the generalized Riemann problem scheme; the Eulerian version; Riemann invariants; characteristic coordinates;

D O I：

10.1016/j.jcp.2006.01.044

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A direct Eulerian generalized Riemann problem (GRP) scheme is derived for compressible fluid flows. Riemann invariants are introduced as the main ingredient to resolve the generalized Riemann problem (GRP) directly for the Eulerian formulation. The crucial auxiliary Lagrangian scheme in the original GRP scheme is not necessary in the present framework. The delicate sonic cases can be easily treated and the extension to multidimensional cases is obtained using the dimensional splitting technique. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：19 / 43

页数：25

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