- Tytuł:
- Shape optimization for stationary Navier-Stokes equations
- Autorzy:
-
Halanay, A.
Tiba, D. - Powiązania:
- https://bibliotekanauki.pl/articles/970751.pdf
- Data publikacji:
- 2009
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
optimal design
optimal control method
fluid mechanics
penalization
gradient method - Opis:
- 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.
- Źródło:
-
Control and Cybernetics; 2009, 38, 4B; 1359-1374
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł