Title
Two-scale numerical simulation of the weakly compressible 1D isentropic Euler equations
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.
Year
DOI
Venue
2007
10.1007/s00211-007-0116-8
Numerische Mathematik
Keywords
Field
DocType
two-scale numerical simulation,weakly compressible,isentropic euler equation
Compressibility,Computer simulation,Mathematical analysis,Truncation error (numerical integration),Numerical analysis,Euler equations,Finite volume method,Mach number,Backward Euler method,Mathematics
Journal
Volume
Issue
ISSN
108
2
Numerische Mathematik / Numerical Mathematics 108, 2 (2007) 263-293
Citations 
PageRank 
References 
0
0.34
2
Authors
3
Name
Order
Citations
PageRank
Emmanuel Frénod131.29
Alexandre Mouton230.76
Eric Sonnendrücker316118.72