A numerical scheme for the one-dimensional pressureless gases system

7Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.
Get full text

Abstract

In this work, we investigate the numerical approximation of the one-dimensional pressureless gases system. After briefly recalling the mathematical framework of the duality solutions introduced by Bouchut and James (Comm. Partial Differential Equations 24 (1999), 2173-2189), we point out that the upwind scheme for density and momentum does not satisfy the one-sided Lipschitz (OSL) condition on the expansion rate required for the duality solutions. Then we build a diffusive scheme which allows the OSL condition to be recovered by following the strategy described by Boudin (SIAM J Math Anal 32 (2000), 172-193) for the continuous model. © 2011 Wiley Periodicals, Inc.

Cite

CITATION STYLE

APA

Boudin, L., & Mathiaud, J. (2012). A numerical scheme for the one-dimensional pressureless gases system. Numerical Methods for Partial Differential Equations, 28(6), 1729–1746. https://doi.org/10.1002/num.20700

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free