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 Frénod | 1 | 3 | 1.29 |
Alexandre Mouton | 2 | 3 | 0.76 |
Eric Sonnendrücker | 3 | 161 | 18.72 |