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Reports (Research Report) Year : 1990

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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Other [cs.OH]
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Dates and versions

inria-00075385 , version 1 (24-05-2006)

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  • HAL Id : inria-00075385 , version 1

Cite

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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