Dissipative properties of Runge-Kutta schemes with upwind spatial approximation for the Euler equations

Abstract : We present in this paper how to construct a 4-stage Runge-Kutta method when the spatial approximation is a Muscl-type upwind scheme for the solution of the two-dimensional Euler equations. A theorical study is first conducted in the one-dimensional linear case, and then extended to the two-dimensional case where the equations are solved by multigrid techniques over unstructured finite element meshes. A few numerical experiments are presented, demonstrating the validity of the theoretical results.
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Rapport
[Research Report] RR-1173, INRIA. 1990
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Soumis le : mercredi 24 mai 2006 - 18:06:49
Dernière modification le : jeudi 11 janvier 2018 - 16:25:53
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Marie-Helene Lallemand. Dissipative properties of Runge-Kutta schemes with upwind spatial approximation for the Euler equations. [Research Report] RR-1173, INRIA. 1990. 〈inria-00075385〉

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