Heuristical and numerical considerations for the carbuncle phenomenon
For computational fluid dynamics researchers, this work provides heuristic and numerical insights into the carbuncle phenomenon, but the findings are incremental.
The study identifies two main sources of the carbuncle phenomenon in numerical simulations: instability of the 1D shock position and low numerical viscosity on shear waves, and shows that higher-order methods stabilize the shock position and reduce the carbuncle.
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.