Topology and Shape optimization for CFD-Computational Fluid Dynamics
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 obtained
Magíster en Ingeniería
Maestría
- EAFIT University Colombia
Finite element method, Mathematical optimization, ANÁLISIS NUMÉRICO, OPTIMIZACIÓN MATEMÁTICA, MÉTODOS ITERATIVOS (MATEMÁTICAS), Iterative methods (mathematics), FUNCIONES DE LAGRANJE, Ecuación de Navier-Stokes, DINÁMICA DE FLUIDOS - MATEMÁTICAS, Lagrangian functions, MÉTODO DE ELEMENTOS FINITOS, Numerical analysis, Fluid dynamics - mathematics
Finite element method, Mathematical optimization, ANÁLISIS NUMÉRICO, OPTIMIZACIÓN MATEMÁTICA, MÉTODOS ITERATIVOS (MATEMÁTICAS), Iterative methods (mathematics), FUNCIONES DE LAGRANJE, Ecuación de Navier-Stokes, DINÁMICA DE FLUIDOS - MATEMÁTICAS, Lagrangian functions, MÉTODO DE ELEMENTOS FINITOS, Numerical analysis, Fluid dynamics - mathematics
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