ADER schemes for three-dimensional non-linear hyperbolic systems

被引：252
|
作者：
Titarev, VA [1 ]
Toro, EF
机构：
[1] Univ Trent, Dept Math, Fac Sci, I-38080 Povo, Italy
[2] Univ Trent, Fac Engn, Lab Appl Math, Trento, Italy
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2005年 / 204卷 / 02期
基金：
英国工程与自然科学研究理事会;
关键词：
high-order schemes; weighted essentially non-oscillatory; ADER; generalized Riemann problem; three space dimensions;
D O I：
10.1016/j.jcp.2004.10.028
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper. we carry out the extension of the ADER approach to multidimensional non-linear systems of conservation laws. We implement non-linear schemes of up to fourth order of accuracy in both time and space. Numerical results for the compressible Euler equations illustrate the very high order of accuracy and non-oscillatory properties of the new schemes. Compared to the state-of-art finite-volume WENO schemes the ADER schemes are faster, more accurate, need less computer memory and have no theoretical accuracy barrier. (c) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：715 / 736
页数：22
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