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A high order finite element for completely incompressible creeping flow
Author(s) -
Thompson Erik G.,
Haque M. I.
Publication year - 1973
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.1620060303
Subject(s) - finite element method , compressibility , incompressible flow , quadratic equation , flow (mathematics) , mathematics , element (criminal law) , mechanics , mathematical analysis , mixed finite element method , extended finite element method , stokes flow , classical mechanics , geometry , physics , engineering , structural engineering , political science , law
A finite element method for simulating the creeping flow of an incompressible material is presented. The method allows for (1) a quadratic approximation of the velocity field, (2) material incompressibility everywhere within an element and (3) the ability to follow the flow through large changes of the material boundaries. A candle slowly bending under its own weight is simulated for illustrative purposes.