Relaxation Schemes for Hyperbolic Conservation Laws with Stiff Source Terms: Application to Reacting Euler Equations

Authors:
A. Chalabi;Y. Qiu
Affiliations:
CNRS, UMR MIP 5640—UFR MIG Université P. Sabatier, 118 Route de Narbonne, 31062 Toulouse cedex, France;CNRS, UMR MIP 5640—UFR MIG Université P. Sabatier, 118 Route de Narbonne, 31062 Toulouse cedex, France
Venue:
Journal of Scientific Computing
Year:
2000

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Abstract

We deal in this paper with the numerical study of relaxation schemes for hyperbolic conservation laws including stiff source terms. Following Jin and Xin [11], we use semi-linear hyperbolic systems with a stiff source term to approximate systems of conservation laws. This method allows to avoid the use of a Riemann solver in the construction of the numerical schemes. Numerical tests are presented together with an application to Reactive Euler Equations.