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Efficient least squares finite elements for two‐dimensional laminar boundary layer analysis
Author(s) -
Lynn Paul P.,
Alani Kawan
Publication year - 1976
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.1620100408
Subject(s) - laminar flow , boundary layer , finite element method , galerkin method , mathematics , least squares function approximation , cylinder , mathematical analysis , flow (mathematics) , geometry , mechanics , physics , engineering , structural engineering , estimator , statistics
This paper presents the formulations of essentially one‐dimensional least squares and Galerkin‐least squares finite elements for the numerical solution of two‐dimensional laminar boundary layer equations. An iterative technique to cope with the non‐linearity of the boundary layer equations, in conjunction with the least squares finite element method, is proposed. Through exhaustive numerical investigations in the retarded flow over a plate, flow past a circular cylinder, the flow past an elliptic cylinder, the accuracy and applicability of the proposed method are demonstrated.