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OPtimum design for potential flows
Author(s) -
Angrand F.
Publication year - 1983
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.1650030306
Subject(s) - finite element method , partial differential equation , mathematics , flow (mathematics) , fluid dynamics , fluid mechanics , mathematical optimization , potential flow , optimal design , computational fluid dynamics , optimal control , computer science , engineering , mathematical analysis , mechanics , geometry , physics , structural engineering , statistics
Described in this paper is a methodology for solving a particular class of optimum design problems in Fluid Mechanics, namely optimum design problems for aerofoils when the corresponding fluid flow is potential. The methods described in this paper operate directly in the physical space, and take advantage of the variational formulation of the partial differential equation modelling the flow. The techniques of optimal control, optimization and the finite element method are used. Numerical examples are also given.