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Optimum aerodynamic shape design for fluid flow problems including mesh adaptivity
Author(s) -
Bugeda G.,
Oñate E.
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(19990530)30:2<161::aid-fld831>3.0.co;2-j
Subject(s) - sensitivity (control systems) , flow (mathematics) , aerodynamics , estimator , mathematical optimization , mathematics , computation , context (archaeology) , computational fluid dynamics , internal flow , incompressible flow , computer science , polygon mesh , euler equations , boundary layer , fluid dynamics , algorithm , mechanics , geometry , mathematical analysis , engineering , physics , geology , paleontology , statistics , electronic engineering
This paper presents a methodology for solving shape optimization problems in the context of fluid flow problems including adaptive remeshing. The method is based on the computation of the sensitivities of the geometrical design parameters, the mesh, the flow variables and the error estimator to project the refinement parameters from one design to the next. The efficiency of the proposed method is checked out in two 2D optimization problems using a full potential model coupled with a boundary layer model. The first one corresponds to an internal flow problem and the second one corresponds to an external flow problem. The work presented here can be considered as a continuation of previous work (Bugeda and Oñate, Int. J. Numer. Methods Fluids , 20 , 915–924 (1995)). In that paper, the sensitivity analysis corresponding to both an incompressible potential flow and a Euler flow were derived together with a strategy for the adaptive remeshing. In the present paper, the sensitivity analysis is derived for a full potential flow coupled with a boundary layer model, and a new error estimator is employed. Copyright © 1999 John Wiley & Sons, Ltd.