On the plane wave Riemann Problem in Fluid Dynamics. (arXiv:1002.1396v1 [math.NA])

On the plane wave Riemann Problem in Fluid Dynamics. (arXiv:1002.1396v1 [math.NA]): "

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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