An HLLC Riemann solver for magneto-hydrodynamics

被引：151

作者：

Li, ST ^{[1
]}

机构：

[1] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2005年 / 203卷 / 01期

关键词：

approximate Riemann solver; HLL; HLLE; HLLC; magneto-hydrodynamics;

D O I：

10.1016/j.jcp.2004.08.020

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper extends a class of approximate Riemann solvers devised by Harten, Lax and van Leer (HLL) for Euler equations of hydrodynamics to magneto-hydrodynamics (MHD) equations. In particular, we extend the two-state HLLC (HLL for contact wave) construction of Toro, Spruce and Speares to MHD equations. We derive a set of HLLC middle states that satisfies the conservation laws. Numerical examples are given to demonstrate that the new MHD-HLLC solver can achieve high numerical resolution, especially for resolving contact discontinuity. In addition, this new solver maintains a high computational efficiency when compared to Roe's approximate Riemann solver. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：344 / 357

页数：14

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