On the plane wave Riemann Problem in Fluid Dynamics

Details On the plane wave Riemann Problem in Fluid Dynamics On the plane wave Riemann Problem in Fluid Dynamics

2010-02-06

arxiv.org/abs/1002.1396v1

Mathematics

Numerical Analysis

27 pages, 1 figure

Scientific paper

The paper contains a stability analysis of the plane-wave Riemann problem for the two-dimensional hyperbolic conservation laws for an ideal compressible gas. It is proved that the contact discontinuity in the plane-wave Riemann problem is unstable under perturbations. The implications for Godunovs method are discussed and it is shown that numerical post shock noise can set of a contact instability. A relation to carbuncle instabilities is established.

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