Optimal Vortex Reduction for Instationary Flows Based on Translation Invariant Cost Functionals
Abstract
We consider the problem of an appropriate choice of a cost functional for vortex reduction for unsteady flows described by the Navier–Stokes equations. This choice is directly related to a physically correct definition of a vortex. Therefore, we discuss different possibilities for the cost functional and analyze the resulting optimal control problems. Moreover, we present an efficient numerical realization of this concept based on space-time finite element discretization and demonstrate its behavior in some numerical experiments. It is demonstrated that the choice of cost functionals has a significant effect on the reduction of vortices.
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Information & Authors
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Published In
SIAM Journal on Control and Optimization
Pages: 1368 - 1397
DOI: 10.1137/050632774
ISSN (online): 1095-7138
Copyright
Copyright © 2007 Society for Industrial and Applied Mathematics.
History
Submitted: 31 May 2005
Accepted: 26 February 2007
Published online: 14 September 2007
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