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Shock wave numerical structure and the carbuncle phenomenon
Author(s) -
Chauvat Y.,
Moschetta J.M.,
Gressier J.
Publication year - 2005
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.916
Subject(s) - spurious relationship , shock wave , phenomenon , shock (circulatory) , euler's formula , euler equations , mechanics , computation , classical mechanics , physics , mathematics , mathematical analysis , medicine , thermodynamics , algorithm , statistics , quantum mechanics
Abstract Since the development of shock‐capturing methods, the carbuncle phenomenon has been reported to be a spurious solution produced by almost all currently 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 finite volume computations are compared to illustrate the importance of the internal shock structure to trigger the carbuncle phenomenon. Copyright © 2005 John Wiley & Sons, Ltd.