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Primitive variable finite element formulations for steady viscous flows
Author(s) -
Hutton S. G.,
Exeter M. K.,
Fussey D. E.,
Webster J. J.,
Rigon C.
Publication year - 1980
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620150205
Subject(s) - finite element method , variable (mathematics) , mathematics , momentum (technical analysis) , compressibility , exposition (narrative) , flow (mathematics) , incompressible flow , element (criminal law) , mechanics , classical mechanics , mathematical analysis , physics , geometry , thermodynamics , art , literature , finance , political science , law , economics
The solution of incompressible, viscous flow problems using the primitive variable finite element approach is formulated in a coherent and physically reasoned exposition. In particular, it is shown that terms associated with changes in momentum caused by lack of mass conservation should logically be included in the governing equations. Previous formulations have not considered this possibility. Numerical results are presented to show the effect of inclusion of these extra terms; however, it is concluded from the numerical results for the specific case which was tested that there is no obvious benefit obtained by including these terms.