The Suliciu approximate Riemann solver is not invariant domain preserving-Reference-Cited by-同舟云学术

The Suliciu approximate Riemann solver is not invariant domain preserving

Published:2019-03 Issue:01 Volume:16 Page:59-72
ISSN:0219-8916
Container-title:Journal of Hyperbolic Differential Equations
language:en
Short-container-title:J. Hyper. Differential Equations

Author:

Guermond Jean-Luc¹,Klingenberg Christian²,Popov Bojan¹,Tomas Ignacio³

Affiliation:

1. Department of Mathematics, Texas A&M University 3368 TAMU, College Station, TX 77843, USA

2. Department of Mathematics, Würzburg University, Emil Fischer Str. 40, Würzburg, Germany

3. Sandia National Laboratories Computational Mathematics Department, (Org. 01442), P.O. Box 5800, Albuquerque, NM 87185, USA

Abstract

We show that the first-order finite volume technique based on the Suliciu approximate Riemann solver, while being positive, violates the invariant domain properties of the [Formula: see text]-system.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219891619500036

Reference12 articles.

1. Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws

2. Relaxation Approximation of Some Initial-Boundary Value Problem for $p$-Systems

3. RELAXATION OF FLUID SYSTEMS

4. Viscous Regularization of the Euler Equations and Entropy Principles

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