Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
520456 | Journal of Computational Physics | 2010 | 12 Pages |
Abstract
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 accuracy of the HLL scheme massively decreases for Ma→0Ma→0 on a given triangular mesh, the Roe scheme remains accurate, i.e. flows of arbitrarily small Mach numbers can – at least in principle – be simulated on a fixed triangular mesh. We give an asymptotic analysis of this phenomenon and present a number of numerical results.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Felix Rieper,