Heuristical and numerical considerations for the carbuncle phenomenon

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Kemm, Friedemann (2015)
  • Subject: 76L05, 76J20, 76K05, 76M99, 76N15 | Physics - Computational Physics | Mathematics - Numerical Analysis

In this study, we investigate the so called carbuncle phenomenon by means of numerical experiments and heuristic considerations. We identify two main sources for the carbuncle: instability of the 1d shock position and low numerical viscosity on shear waves. We also describe how higher order stabilizes the 1d shock position and, thus, reduces the carbuncle.
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