Topology and Shape optimization for CFD-Computational Fluid Dynamics

On this work a CFD optimization problem is treated from two different points of view -- In one hand, topology optimization using a homogenization method based on the Brinkmann penalization is presented, implemented using the finite elements method and optimized with a mesh adaptation step -- Secondly, a shape optimization method based on Hadamard boundary variation using differentiation with respect to the domain is developed, imple- mented and tested -- Finally, a coupling of both methods taking advantage of their own attributes is proposed and tested -- The expected results are obtaine