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Article Dans Une Revue Numerische Mathematik Année : 2007

Two-scale numerical simulation of the weakly compressible 1D isentropic Euler equations

Résumé

Motivated by the difficulty to solve numerically the weakly compressible 1D isentropic Euler equations with classical methods, we develop in this paper a two scale numerical method on this model. This method is based on two scale convergence theory developped by N'Guetseng and Allaire, and finite volume scheme. Furthermore, we do some numerical simulations in order to verify that the two-scale numerical method is more and more accurate when the Mach number diminishes.
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Dates et versions

hal-00173412 , version 1 (20-09-2007)
hal-00173412 , version 2 (16-10-2007)

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Emmanuel Frénod, Alexandre Mouton, Eric Sonnendrücker. Two-scale numerical simulation of the weakly compressible 1D isentropic Euler equations. Numerische Mathematik, 2007, 108 (2), pp.263-293. ⟨10.1007/s00211-007-0116-8⟩. ⟨hal-00173412v2⟩
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