On the plane wave Riemann Problem in Fluid Dynamics

Preprint English OPEN
Einfeldt, B. (2010)
  • Subject: Mathematical Physics | Physics - Fluid Dynamics | 65M08 | 65M12 | Mathematics - Numerical Analysis

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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