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Pré-Publication, Document De Travail Année : 2012

Modified Suliciu relaxation system and exact resolution of isolated shock waves

Résumé

We present a new Approximate Riemann Solver (ARS) for the gas dynamics equations in Lagrangian coordinates and with general non linear pressure laws. The design of this new ARS relies on a generalized Suliciu pressure relaxation approach. It gives by construction the exact solutions for isolated entropic shocks and we prove that it is Lipschitz-continuous and satisfies an entropy inequality. Finally, the ARS is used to develop either a classical entropy conservative Godunov-type method, or a Glimm-type (random sampling based Godunov-type) method able to generate infinitely sharp discrete shock profiles. Numerical experiments are proposed to prove the validity of these approaches.
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Dates et versions

hal-00737870 , version 1 (02-10-2012)

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  • HAL Id : hal-00737870 , version 1

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Christophe Chalons, Frédéric Coquel. Modified Suliciu relaxation system and exact resolution of isolated shock waves. 2012. ⟨hal-00737870⟩
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