Shape optimization for stationary Navier-Stokes equations

• Autorzy: Halanay A. , Tiba D.
• Języki publikacji: EN

Abstrakty

EN

This work discusses geometric optimization problems governed by stationary Navier-Stokes equations. Optimal domains are proved to exist under the assumption that the family of admissible domains is bounded and satisfies the Lipschitz condition with a uniform constant, and in the absence of the uniqueness property for the state system. Through the parametrization of the admissible shapes by continuous functions defined on a larger universal domain, the optimization parameter becomes a control, i.e. an element of that family of continuous functions. The approximating extension technique via the penalization of the Navier-Stokes equation enables the approximation of the associated shape optimization problem by an optimal control problem. Results on existence and uniqueness are proved for the approximating problem and a gradient-type algorithm is indicated.

Słowa kluczowe

EN

optimal design; optimal control method; fluid mechanics; penalization; gradient method

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2009
• Tom: Vol. 38, no 4B
• Strony: 1359--1374
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Halanay A.

autor

Tiba D.

• Department of Mathematics 1, University Politehnica of Bucharest, 313 Splaiul Independence!, RO-060042, Bucharest, Romania,

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