A TWO-DIMENSIONAL VERSION OF THE GODUNOV SCHEME FOR SCALAR BALANCE LAWS

A Godunov scheme is derived for two-dimensional scalar conservation laws without or with source terms following ideas originally proposed by Boukadida and LeRoux [Math. Comput., 63 (1994), pp. 541–553] in the context of a staggered Lax–Friedrichs scheme. In both situations, the numerical fluxes are...

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Bibliographic Details
Published in:	SIAM journal on numerical analysis Vol. 52; no. 2; pp. 626 - 652
Main Author:	GOSSE, LAURENT
Format:	Journal Article
Language:	English
Published:	Philadelphia Society for Industrial and Applied Mathematics 01.01.2014
Subjects:	Approximation Cauchy problem Conservation laws Decomposition Elastic waves Entropy Error rates Gas dynamics Hypotheses Mathematics Numerical Analysis Scalars Wave interaction Wave propagation Kruzkov entropy solution Well-Balanced 2D Godunov scheme External wave Helmholtz decomposition and Curl-free field Approximate 2D Riemann solver
ISSN:	0036-1429, 1095-7170
Online Access:	Get full text
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