Fixed Domain Algorithms in Shape Optimization for Stationary Navier-Stokes Equations - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Communication Dans Un Congrès Année : 2013

Fixed Domain Algorithms in Shape Optimization for Stationary Navier-Stokes Equations

Résumé

The paper aims to illustrate the algorithm developed in the paper [6] in some specific problems of shape optimization issued from fluid mechanics. Using the fictitious domain method with penalization, the fluid equations will be solved in a fixed domain. The admissible shapes are parametrized by continuous function defined in the fixed domain, then the shape optimization problem becomes an optimal control problem, where the control is the parametrization of the shape. We get the directional derivative of the cost function by solving co-state equation. Numerical results are obtained using a gradient type algorithm.
Fichier principal
Vignette du fichier
978-3-642-36062-6_38_Chapter.pdf (4 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01347559 , version 1 (21-07-2016)

Licence

Paternité

Identifiants

Citer

Andrei Halanay, Cornel Marius Murea. Fixed Domain Algorithms in Shape Optimization for Stationary Navier-Stokes Equations. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. pp.378-386, ⟨10.1007/978-3-642-36062-6_38⟩. ⟨hal-01347559⟩
54 Consultations
68 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More