E. Frénod, A. Mouton, E. Sonnendrücker
Published in Numerische Mathematik 108-2 (2007), 263-293.
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 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.