Lattice Boltzmann method for three dimensional fluid flow simulation

An analysis of the Lattice Boltzmann Method (LBM) has been developed as an alternating Computational Fluid Dynamic (CFD) method based on the collective behavior of microscopic particles. This numerical method contrasts with the traditional approaches which usually consider macroscopic descriptions by using Navier-Stokes (NS) equations. The specific purpose of the present thesis is to supply a comprehensive description of the field providing a source code for practical applications under GNU copyright. In the first part the review of the fundamental macroscopic variables is emphasized to outline the NS equations with advantages and drawbacks. Numerical methods are investigated in the second part, evolving from Cellular Automata, the most recent Lattice Gas Cellular Automata and specially its extension, the LBM. The last part of this thesis shows the results of the method comparing to a traditional Navier-Stokes solver. It is also pointed out the advantages adopted with LBM approach in nano-scale multiphase fluid flow under complex boundary conditions.