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 OΓ°M Γ Γ where M Γ is the reference Mach number even if the initial data are well-prepared and contain only pressure fluc
The influence of cell geometry on the accuracy of upwind schemes in the low mach number regime
β Scribed by Felix Rieper; Georg Bader
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 919 KB
- Volume
- 228
- Category
- Article
- ISSN
- 0021-9991
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π SIMILAR VOLUMES
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
Originally, kinetic schemes have been used as numerical methods to solve the system of compressible Euler equations in gas dynamics. The main idea in the approach is to construct the numerical flux function based on a microscopical description of the gas. In this article the schemes are investigated