On the problem of detecting source points acting on a fluid

Abstract

The detection problem of a finite number of source points acting on a steady incompressible fluid flow from overdetermined boundary data was studied. The approach used in this study deals with the topological sensitivity technique. An asymptotic analysis of a prescribed cost function with respect to the domain perturbation was developed. Some numerical results to illustrate the efficiency and robustness of the developed source point detection algorithm were presented.

Keywords

• optimization
• source point detection
• topological sensitivity
• stokes equations
• 35q30
• 49q10
• 74p05