Método da fronteira imersa aplicado à modelagem matemática e simulação numérica de escoamentos turbulentos sobre geometrias móveis e deformáveis

Abstract

The mathematical modeling of turbulent flows around complex moving geometries has always been an extensive area of practical applications and therefore takes place in the recent engineering research. A possible numerical method proposed to handle these problems is the so called Immersed Boundary Methods. This methodology is still under development and consists in separating the problem in two domains, a fixed Eulerian domain used to discretize the fluid equations and a Lagragian domain used to represent the solid/fluid interface. Since there is no geometric dependence between these two meshes, the immersed boundary method can easily handle moving or deformable bodies immersed in the fluid flow. This work presents an extension of the Virtual Physical Model, an immersed boundary methodology developed at the LTCM/UFU, to simulate fluid flows at high Reynolds numbers around moving or deformable bodies. The model was used in the simulation of immersed deformable bodies in laminar flows and was applied in shape optimization problems. Simulations of the turbulent flow past a pitching NACA 0012 airfoil was also presented. A brief comparative studied of three turbulence methodologies implemented with immersed boundary methods is also presented in this work. The results were compared with the experimental and numerical results available from literature, and a good physical coherence was obtained.