Topological optimization method for a geometric control problem in Stokes flow

Authors:
Mohamed Abdelwahed;Maatoug Hassine
Affiliations:
ENIT-LAMSIN & Ecole Supéérieure de Technologie et d'Informatique, Charguia, 2035 Tunis, Tunisia;ENIT-LAMSIN & GMM, INSA de Toulouse, 31077 Toulouse cedex 4, France
Venue:
Applied Numerical Mathematics
Year:
2009

Citing 5
Cited 3

Optimal control of two- and three-dimensional incompressible Navier-Stokes flows

Journal of Computational Physics
On the Topological Derivative in Shape Optimization

SIAM Journal on Control and Optimization
Perspectives in Flow Control and Optimization

Perspectives in Flow Control and Optimization
Structural optimization using sensitivity analysis and a level-set method

Journal of Computational Physics
From Differential Calculus to 0-1 Topological Optimization

SIAM Journal on Control and Optimization

Topology optimization of unsteady incompressible Navier-Stokes flows

Journal of Computational Physics
Topology optimization of steady and unsteady incompressible Navier---Stokes flows driven by body forces

Structural and Multidisciplinary Optimization
A survey of structural and multidisciplinary continuum topology optimization: post 2000

Structural and Multidisciplinary Optimization

Quantified Score

Hi-index	0.01

Visualization

Abstract

We consider a geometric control problem in Stokes flow. We propose a simple and fast algorithm using topological optimization techniques. Our approach consists in studying the variation of a cost function with respect to the insertion of a small obstacle in the domain. Theoretical results are derived in two and three dimensional case and valid for large class of cost functions. Some numerical experiments are presented in 2D and 3D showing the efficiency of our approach.