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A comparison study on multivariant and univariant finite elements for three‐dimensional incompressible viscous flows
Author(s) -
Sheu Tony W. H.,
Wang Morten M. T.
Publication year - 1995
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.1650210806
Subject(s) - finite element method , compressibility , hexahedron , mathematics , quadratic equation , pressure correction method , degrees of freedom (physics and chemistry) , incompressible flow , flow (mathematics) , geometry , mechanics , mathematical analysis , physics , engineering , structural engineering , quantum mechanics
In this paper, four quadratic hexahedron elements are considered and assessed for analysis of an incompressible viscous flow underlying the mixed finite element method. We classify the investigated elements as multivariant and univariant finite elements. With the same number of pressure unknowns, multivariant elements are more constrained when the number of elements per side is larger than 10, as compared with that of continuous pressure elements. In multivariant eléments, the coding is complicated by the appearance of restricted degrees of freedom at mid‐face and mid‐edge nodes. The comparison consequently should be made via numerical example against the analytical problem.