High-resolution semi-discrete Hermite central-upwind scheme for multidimensional Hamilton-Jacobi equations

被引：4
|
作者：
Cai, Li [1 ]
Xie, Wenxian [1 ]
Nie, Yufeng [1 ]
Feng, Jianhu [2 ]
机构：
[1] Northwestern Polytech Univ, Sch Sci, Xian 710072, Shaanxi, Peoples R China
[2] Changan Univ, Coll Sci, Xian 710064, Shaanxi, Peoples R China
来源：
APPLIED NUMERICAL MATHEMATICS | 2014年 / 80卷
基金：
中国国家自然科学基金;
关键词：
Hamilton-Jacobi equations; Semi-discrete central-upwind scheme; Hermite interpolation; CENTRAL WENO SCHEMES; CONVECTION-DIFFUSION EQUATIONS; 2-DIMENSIONAL RIEMANN PROBLEMS; INCOMPRESSIBLE 2-PHASE FLOWS; WEIGHTED ENO SCHEMES; CONSERVATION-LAWS; SHALLOW-WATER; GAS-DYNAMICS; HYPERBOLIC SYSTEMS; HYBRID SCHEME;
D O I：
10.1016/j.apnum.2014.02.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a high resolution fifth-order semi-discrete Hermite central-upwind scheme for multidimensional Hamilton-Jacobi equations. The numerical fluxes of the scheme are constructed by Hermite polynomials which can be obtained by using the short-time assignment of the first derivatives. The extensions of the proposed semi-discrete Hermite central-upwind scheme to multidimensional cases are straightforward. The accuracy, efficiency and stability properties of our schemes are finally demonstrated via a variety of numerical examples. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：22 / 45
页数：24
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