This paper presents an analysis of Godunov scheme in the low Mach number regime. We study the Riemann problem and show that the interface pressure contains acoustic waves of order OðM Ã Þ where M Ã is the reference Mach number even if the initial data are well-prepared and contain only pressure fluc
✦ LIBER ✦
On the behavior of upwind schemes in the low Mach number limit. IV: P0 approximation on triangular and tetrahedral cells
✍ Scribed by Hervé Guillard
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 189 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0045-7930
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It is well known that standard upwind schemes for the Euler equations face a number of problems in the low Mach number regime: stiffness, cancellation and accuracy problems. A new aspect of the accuracy problem, presented in this paper, is the dependence on the type of flux solver: while the accurac