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Healing of shock instability for Roe's flux‐difference splitting scheme on triangular meshes
Author(s) -
Phongthanapanich Sutthisak,
Dechaumphai Pramote
Publication year - 2008
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.1834
Subject(s) - instability , polygon mesh , mathematics , shock (circulatory) , compressible flow , decoupling (probability) , entropy (arrow of time) , mechanics , flow (mathematics) , compressibility , physics , geometry , engineering , thermodynamics , medicine , control engineering
Healing of nonphysical flow solutions and shock instability from the use of Roe's flux‐difference splitting scheme is presented. The proposed method heals nonphysical flow solutions such as the carbuncle phenomenon, the shock instability from the odd–even decoupling problem, and the expansion shock generated from the violated entropy condition. The performance and efficiency of the proposed method are evaluated by solving several benchmark and complex high‐speed compressible flow problems. Copyright © 2008 John Wiley & Sons, Ltd.