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One‐shot multigrid method for aerodynamic shape optimization
Author(s) -
Hazra Subhendu Bikash
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700504
Subject(s) - multigrid method , shape optimization , computer science , aerodynamics , convergence (economics) , mathematical optimization , optimization problem , mathematics , algorithm , aerospace engineering , engineering , finite element method , structural engineering , mathematical analysis , economic growth , partial differential equation , economics
This paper presents a numerical method for aerodynamic shape optimization problems. It is based on simultaneous pseudotime‐stepping in which the optimality is reached simultaneously with the state and costate feasibility. An optimization‐based multigrid strategy results in efficient convergence of the method. The total effort of optimization is less than two forward simulation runs. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)