Topology Optimization of Time Dependent Viscous Incompressible Flows

Abstract EN

In this paper, we consider topology and shape optimization problem related to the nonstationary Navier-Stokes system.

The minimization of dissipated energy in the fluid flow domain is discussed.

The proposed approach is based on a sensitivity analysis of a design function with respect to the insertion of a small obstacle in the fluid flow domain.

Some numerical results show the efficiency and accurate of the proposed approach.