On the behavior of upwind schemes in the low Mach number limit: II. Godunov type schemes
作者： Hervé Guillard , Angelo Murrone
DOI: 10.1016/J.COMPFLUID.2003.07.001
关键词: Computational fluid dynamics 、 Scaling 、 Riemann problem 、 Applied mathematics 、 Upwind scheme 、 Mathematics 、 Mach number 、 Classical mechanics 、 Acoustic wave 、 Godunov's theorem 、 Godunov's scheme
摘要: This paper presents an analysis of Godunov scheme in the low Mach number regime. We study Riemann problem and show that interface pressure contains acoustic waves order even if initial data are well prepared contain only fluctuations squared. then propose to modify fluxes computed by type schemes solving a preconditioned instead original one. strategy is applied VFRoe solvers where we it allows recover correct scaling fluctuations. Numerical experimen- ts confirm these theoretical results.
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