Premium
Shock capturing viscosities for the general fluid mechanics algorithm
Author(s) -
Nithiarasu P.,
Zienkiewicz O. C.,
Sai B. V. K. Satya,
Morgan K.,
Codina R.,
Vázquez M.
Publication year - 1998
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/(sici)1097-0363(19981215)28:9<1325::aid-fld765>3.0.co;2-1
Subject(s) - inviscid flow , shock (circulatory) , smoothing , compressible flow , hypersonic speed , fluid mechanics , residual , computation , mechanics , supersonic speed , compressibility , computational fluid dynamics , projection (relational algebra) , mathematics , flow (mathematics) , algorithm , physics , medicine , statistics
The performance of different shock capturing viscosities has been examined using our general fluid mechanics algorithm. Four different schemes have been tested, both for viscous and inviscid compressible flow problems. Results show that the methods based on the second gradient of pressure give better performance in all situations. For instance, the method constructed from the nodal pressure values and consistent and lumped mass matrices is an excellent choice for inviscid problems. The method based on L 2 projection is better than any other method in viscous flow computations. The residual based anisotropic method gives excellent performance in the supersonic range and gives better results in the hypersonic regime if a small amount of residual smoothing is used. © 1998 John Wiley & Sons, Ltd.