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A velocity formulation for flow past a symmetric profile with a wake
Author(s) -
Räsänen S. M.
Publication year - 1989
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.1650090906
Subject(s) - wake , mathematics , flow (mathematics) , finite element method , function (biology) , sensitivity (control systems) , geometry , position (finance) , least squares function approximation , stream function , mathematical analysis , mechanics , geology , physics , engineering , structural engineering , vortex , statistics , finance , evolutionary biology , electronic engineering , estimator , economics , biology , vorticity
A model having velocity components as basic unknowns is presented for calculation of two‐dimensional flow past a symmetric profile with a wake in a channel. A modified least squares functional is used for the finite element solution of velocities. The determination of the position of the free streamline is treated as an optimum design problem. The concepts of cost function, geometry parameter and sensitivity derivative are employed. Numerical results are compared with published results obtained with streamfunction formulations.