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Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction
Author(s) -
Peitz Sebastian,
Dellnitz Michael
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510296
Subject(s) - multi objective optimization , mathematical optimization , reduction (mathematics) , flow (mathematics) , galerkin method , projection (relational algebra) , minification , cylinder , mathematics , set (abstract data type) , model order reduction , pareto principle , computer science , algorithm , physics , finite element method , geometry , programming language , thermodynamics
In this article an efficient numerical method to solve multiobjective optimization problems for fluid flow governed by the Navier Stokes equations is presented. In order to decrease the computational effort, a reduced order model is introduced using Proper Orthogonal Decomposition and a corresponding Galerkin Projection. A global, derivative free multiobjective optimization algorithm is applied to compute the Pareto set (i.e. the set of optimal compromises) for the concurrent objectives minimization of flow field fluctuations and control cost . The method is illustrated for a 2D flow around a cylinder at Re = 100. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)