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arXiv · 1002.1396

On the plane wave Riemann Problem in Fluid Dynamics

B. Einfeldt
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Abstract

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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B. Einfeldt. 2010-02-06. On the plane wave Riemann Problem in Fluid Dynamics. https://arxiv.org/abs/1002.1396

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