On the plane wave Riemann Problem in Fluid Dynamics
Numerical Analysis
2010-02-09 v1 Mathematical Physics
math.MP
Fluid Dynamics
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.
Keywords
Cite
@article{arxiv.1002.1396,
title = {On the plane wave Riemann Problem in Fluid Dynamics},
author = {B. Einfeldt},
journal= {arXiv preprint arXiv:1002.1396},
year = {2010}
}
Comments
27 pages, 1 figure