Two-scale numerical simulation of the weakly compressible 1D isentropic Euler equations - Mathematics > Numerical AnalysisReport as inadecuate




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Abstract: Motivated by the difficulty to solve numerically the weakly compressible 1Disentropic Euler equations with classical methods, we develop in this paper atwo scale numerical method on this model. This method is based on two scaleconvergence theory developped by N-Guetseng and Allaire, and finite volumescheme. Furthermore, we do some numerical simulations in order to verify thatthe two-scale numerical method is more and more accurate when the Mach numberdiminishes.



Author: Emmanuel Frénod LEMEL, Lmam, Alexandre Mouton INRIA Lorraine - Iecn - Lsiit - Irma, Irma, Eric Sonnendrücker INRIA Lorraine - I

Source: https://arxiv.org/







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