García Ruíz, Manuel Julio2016-03-082014http://hdl.handle.net/10784/8149On 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 obtainedspaEcuación de Navier-Stokesinfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessOPTIMIZACIÓN MATEMÁTICAMÉTODO DE ELEMENTOS FINITOSFUNCIONES DE LAGRANJEANÁLISIS NUMÉRICOMÉTODOS ITERATIVOS (MATEMÁTICAS)DINÁMICA DE FLUIDOS - MATEMÁTICASMathematical optimizationFinite element methodLagrangian functionsNumerical analysisIterative methods (mathematics)Fluid dynamics - mathematicsAcceso abierto2016-03-08Betancur Valencia, Esteban