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Modelling of two‐dimensional laminar flow using finite element method
Author(s) -
Jurjević Robert
Publication year - 1999
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/(sici)1097-0363(19991015)31:3<601::aid-fld892>3.0.co;2-z
Subject(s) - laminar flow , method of mean weighted residuals , discretization , finite element method , mathematics , galerkin method , newtonian fluid , flow (mathematics) , mechanics , partial differential equation , incompressible flow , fluid dynamics , mathematical analysis , geometry , physics , thermodynamics
In this paper, a Galerkin weighted residual finite element numerical solution method, with velocity material time derivative discretisation, is applied to solve for a classical fluid mechanics system of partial differential equations modelling two‐dimensional stationary incompressible Newtonian fluid flow. Classical examples of driven cavity laminar flow and laminar flow past a cylinder are presented. Numerical results are compared with data found in the literature. Copyright © 1999 John Wiley & Sons, Ltd.