Shape Optimization Algorithms for Fluid Dynamics Applications

In this work we present a comparison between shape optimization algorithms in different vector spaces. The main goal is to optimize the surface of an object with respect physical quantity. focus on applications that require large element deformations as part process, for instance removal and creation geometric singularities such edges corners. take into account prevention degeneracy overlapping, by enforcing inequality constraints. For purpose, approach Hilbert space compared another Banach former based nonlinear extension equation, whereas p-Laplace operator used latter. Computational results are presented context fluid dynamics applications, where contour optimized energy dissipation.