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Finite element modelling of quasi‐three‐dimensional nearly horizontal flow
Author(s) -
Utnes Torbjørn
Publication year - 1991
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.1650120604
Subject(s) - mathematics , finite element method , constant (computer programming) , advection , flow (mathematics) , mathematical analysis , geometry , physics , computer science , thermodynamics , programming language
A quasi‐three‐dimensional numerical model is presented and applied to some test problems with constant density. The numerical technique is based on a finite element formulation and the three‐dimensional problem is factorized into one‐ and two‐dimensional subproblems. The non‐linear advection is treated by use of a weak formulation of the characteristics method and the equations are transformed to ‘sigma’ coordinates.