A high order finite element for completely incompressible creeping flow | Zendy

Thompson Erik G. | Zendy; Haque M. I. | Zendy

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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.

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