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.

引用

页码：22 / 45

页数：24

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