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

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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.

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  1. CNRS, UMR MIP 5640—UFR MIG, Université P. Sabatier, 118 Route de Narbonne, 31062, Toulouse cedex, France

    A. Chalabi & Y. Qiu

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  1. A. Chalabi
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  2. Y. Qiu
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Chalabi, A., Qiu, Y. Relaxation Schemes for Hyperbolic Conservation Laws with Stiff Source Terms: Application to Reacting Euler Equations. Journal of Scientific Computing 15, 395–416 (2000). https://doi.org/10.1023/A:1011189729919

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