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

Emmanuel Frénod, Alexandre Mouton, Eric Sonnendrücker

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

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. Thismethod is based on two scale convergence theory developped by Nguetseng 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.

Original languageEnglish
Pages (from-to)263-293
Number of pages31
JournalNumerische Mathematik
Volume108
Issue number2
DOIs
StatePublished - Dec 2007
Externally publishedYes

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