Modelos de Lattice-Boltzmann Aplicados à Simulação Computacional do Escoamento de Fluidos Incompressíveis

• Autor(a) principal: Golbert, Daniel Reis
• Data de Publicação: 2009
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações do LNCC
• Texto Completo: https://tede.lncc.br/handle/tede/100
• topic: Mecânica de fluidos; Lattice-Boltzmann; Fluidos incompressíveis; Escoamentos transientes; Hemodinâmica computacional; Lattice-Boltzmann; Incompressible fluid; CNPQ::CIENCIAS EXATAS E DA TERRA::CIENCIA DA COMPUTACAO

The goal of this work is to study de modeling of incompressible fluid flows through the Lattice-Boltzmann method (LBM). In this class of methods the equations based on mesoscopic kinetics allow us to model the macro-continuum behavior of the fluid dynamics. Therefore, a theoretical study of the LBM is performed including the analyses of different equilibrium distributions, lattice models, its relationships with the Boltzmann equation as well as its asymptotic approximation to the Navier-Stokes equations. On the other hand, aspects related to the imposition of boundary conditions are also studied, identifying adequate procedures to the problems here presented. Posteriorly, a detailed study of numerical nature about the performance of the LBM in the computational simulation of fluid flows is developed, involving stationary and transient problems, for cases in 2D and 3D. Once we have insight on the main characteristics of the model, techniques for the tuning of LBM's parameters are introduced with the purpose of attaining consistent and reliable results, according to the physical conditions of the problems under consideration. These techniques are employed with emphasis in 3D time dependent problems, whose characteristics are similar to those found in the blood flow modeling in arteries.