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.
Mohamed Abdelwahed. Maatoug Hassine. "Topology Optimization of Time Dependent Viscous Incompressible Flows." Abstr. Appl. Anal. 2014 (SI49) 1 - 9, 2014. https://doi.org/10.1155/2014/923016