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Numerical study of incompressible fluids in unbounded domains
Author(s) -
Razafimahery F.
Publication year - 1989
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.1620280915
Subject(s) - inviscid flow , bounded function , semi infinite , finite element method , domain (mathematical analysis) , mathematics , compressibility , mathematical analysis , stream function , function (biology) , classical mechanics , mechanics , physics , vortex , vorticity , evolutionary biology , biology , thermodynamics
The aim is to build up and test a numerical method to calculate the velocity of stationary two‐dimensional flows. Both inviscid and viscous fluids are considered. They act in the unbounded domain surrounding a given profile and a stream function is introduced. A variational procedure, adapted to unbounded domains, reduces the problem to solving a finite sequence of hormonic equations, posed in bounded domains. Some profiles are tested using a finite element method.