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

Emmanuel Frénod 1, 2 Alexandre Mouton 3, 4 Eric Sonnendrücker 3, 4
3 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
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. 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.
Document type :
Journal articles
Numerische Mathematik, Springer Verlag, 2007, 108 (2), pp.263-293. 〈10.1007/s00211-007-0116-8〉
Liste complète des métadonnées

Cited literature [23 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00173412
Contributor : Alexandre Mouton <>
Submitted on : Tuesday, October 16, 2007 - 3:41:31 PM
Last modification on : Thursday, March 15, 2018 - 1:33:05 AM
Document(s) archivé(s) le : Tuesday, September 21, 2010 - 2:34:59 PM

Files

Euler_two_scale.pdf
Files produced by the author(s)

Identifiers

Citation

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

Share

Metrics

Record views

520

Files downloads

133