期刊
COMPUTERS & FLUIDS
卷 38, 期 1, 页码 16-36出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compfluid.2007.07.023
关键词
-
资金
- Departament d'Universitats
- Recerca i Societat de la Informacio de la Generalitat de Catalunya
- PNPGC project [BFM2003-02125]
- spanish MEC [MTM2005-07214, FP2000-5801]
- Universitat Pompeu Fabra
- Institute for Mathematics and its Applications
We present an extension of Marquina's flux formula, as introduced in Fedkiw et al. [Fedkiw RP, Merriman B, Donat R, Osher S. The penultimate scheme for systems of conservation laws: finite difference ENO with Marquina's flux splitting. In: Hafez M, editor. Progress in numerical solutions of partial differential equations, Arcachon, France; July 1998], for the shallow water system. We show that the use of two different Jacobians at cell interfaces prevents the scheme from satisfying the exact C-property [Bermlidez A, Vizquez ME. Upwind methods for hyperbolic conservation laws with source terms. Comput Fluids 1994;23(8):1049-71] while the approximate C-property is satisfied for higher order versions of the scheme. The use of a single Jacobian in Marquina's flux splitting formula leads to a numerical scheme satisfying the exact C-property, hence we propose a combined technique that uses Marquina's two sided decomposition when the two adjacent states are not close and a single decomposition otherwise. Finally, we propose a special treatment at wet/dry fronts and situations of dry bed generation. (C) 2008 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据