Simulações computacionais de escoamento de fluidos e problemas de reação-difusão através do método de Lattice Boltzmann

Abstract

Computational modeling has been used for understanding complex phenomena in various areas recently. A mathematical model can be obtained with the knowledge from the physical and mathematical principles of the problem, which describes the phenomenon of interest. The model exact solution can be very di cult to find or may not exist. Then numerical methods are used for solving these equations in many engineering, biology and physics applications. The models numerical solution is extremely costly due to the high spatial and temporal resolution required. The numerical methods most commonly used to solve these problems are the finite element method (FEM) and finite volume method (FVM). An alternative is the Lattice Boltzmann Method (LBM), which have been increasingly used for simulation of complex problems in fluid dynamics. The objective of this work is to present the application of the Lattice Boltzmann method to problems of fluid dynamics and electrical activity of the heart as well as evaluate its performance in recent parallel computing environments.