Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations

被引：19

作者：

Bryson, S ^{[1
]}

Kurganov, A

Levy, D

Petrova, G

机构：

[1] Stanford Univ, Programme Sci Comp Computat Math, Moffett Field, CA 94035 USA

[2] NASA, Ames Res Ctr, Adv Supercomp Div, Moffett Field, CA 94035 USA

[3] Tulane Univ, Dept Math, New Orleans, LA 70115 USA

[4] Stanford Univ, Dept Math, Moffett Field, CA 94035 USA

[5] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2005年 / 25卷 / 01期

基金：

美国国家科学基金会;

关键词：

Hamilton-Jacobi equations; central-upwind schemes; semi-discrete methods;

D O I：

10.1093/imanum/drh015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new family of Godunov-type semi-discrete central schemes for multidimensional Hamilton-Jacobi equations. These schemes are a less dissipative generalization of the central-upwind schemes that have been recently proposed in Kurganov, Noelle and Petrova (2001, SIAM J. Sci. Comput., 23, pp. 707-740). We provide the details of the new family of methods in one, two, and three space dimensions, and then verify their expected low-dissipative property in a variety of examples.

引用

页码：113 / 138

页数：26

共 22 条

[1]

Barles G., 1991, Asymptotic Analysis, V4, P271

[2] Central schemes for multidimensional Hamilton-Jacobi equations [J].

Bryson, S ;

Levy, D .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2003, 25 (03) :767-791

[3] High-order central WENO schemes for multidimensional Hamilton-Jacobi equations [J].

Bryson, S ;

Levy, D .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2003, 41 (04) :1339-1369

[4]

BRYSON S, 2003, P ENUMATH 2001, P45

[5]

CRANDALL MG, 1984, MATH COMPUT, V43, P1, DOI 10.1090/S0025-5718-1984-0744921-8

[6] Strong stability-preserving high-order time discretization methods [J].

Gottlieb, S ;

Shu, CW ;

Tadmor, E .

SIAM REVIEW, 2001, 43 (01) :89-112

[7] A discontinuous Galerkin finite element method for Hamilton-Jacobi equations [J].

Hu, CQ ;

Shu, CW .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1999, 21 (02) :666-690

[8] Weighted ENO schemes for Hamilton-Jacobi equations [J].

Jiang, GS ;

Peng, DP .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2000, 21 (06) :2126-2143

[9] Efficient implementation of weighted ENO schemes [J].

Jiang, GS ;

Shu, CW .

JOURNAL OF COMPUTATIONAL PHYSICS, 1996, 126 (01) :202-228

[10] New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations [J].

Kurganov, A ;

Tadmor, E .

JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 160 (01) :241-282

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