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

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

2007-09-20

arxiv.org/abs/0709.3195v2

Numerische Mathematik / Numerical Mathematics 108, 2 (2007) 263-293

Mathematics

Numerical Analysis

Scientific paper

10.1007/s00211-007-0116-8

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.

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