Dynamical systems‐based optimal control of incompressible fluids | Zendy

Hintermüller Michael | Zendy; Kunisch Karl | Zendy; Spasov Yulian | Zendy; Volkwein Stefan | Zendy

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Dynamical systems‐based optimal control of incompressible fluids

Author(s) -

Hintermüller Michael,

Kunisch Karl,

Spasov Yulian,

Volkwein Stefan

Publication year - 2004

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.725

Subject(s) - optimal control , dynamical systems theory , vortex , realization (probability) , compressibility , mathematics , regular polygon , function (biology) , tensor (intrinsic definition) , flow (mathematics) , computational fluid dynamics , mathematical optimization , numerical analysis , control theory (sociology) , computer science , control (management) , mathematical analysis , physics , mechanics , geometry , statistics , quantum mechanics , evolutionary biology , artificial intelligence , biology

For optimal control problems related to fluid flow the choice of an adequate cost functional for suppression of vortices is of significant importance. In this research we propose a cost functional based on a local dynamical systems characterization of vortices. The resulting functional is a non‐convex function of the velocity gradient tensor. The resulting optimality system describing first order necessary optimality conditions is derived, a possible strategy for numerical realization of the optimal control problem is provided and a numerical feasibility study is conducted. Copyright © 2004 John Wiley & Sons, Ltd.

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