Shock wave numerical structure and the carbuncle phenomenon

Abstract

Since the development of shock-capturing methods, the carbuncle phenomenon has been reported to be a spurious solution produced by almost all currrently available contact-preserving methods. The present analysis indicates that the onset of carbuncle phenomenon is actually strongly related to the shock wave numerical structure. A matrix-based stability analysis as well as Euler nite volume computations are compared to illustrate the importance of the internal shock structure to trigger the carbuncle phenomenon.