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Optimum aerodynamic shape design including mesh adaptivity
Author(s) -
Bugeda Gabriel,
Oñate Eugenio
Publication year - 1995
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.1650200814
Subject(s) - aerodynamics , sensitivity (control systems) , euler equations , polygon mesh , computation , estimator , context (archaeology) , mathematics , mathematical optimization , computational fluid dynamics , compressibility , shape optimization , inverse , adaptive mesh refinement , flow (mathematics) , inverse problem , computer science , algorithm , finite element method , geometry , mathematical analysis , computational science , engineering , structural engineering , aerospace engineering , paleontology , statistics , electronic engineering , biology
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. This sensitivity analysis is described for the incompressible potential equations and the Euler equations. The efficiency of the proposed method is checked by means of two 2D inverse problems.