Numerical simulation of thermal incompressible fluid flow using Lattice Boltzmann's method

Objective of this paper is to numerically simulate thermal fluid flow using Lattice Boltzmann's method. D2Q9 model is used for simulation of 2D thermal fluid flow. Different thermal cases such as thermal Poisseuille flow, thermal couette flow are studied, along with conduction in metals with or without heat generation source within metal. Results produced from Lattice Boltzmann's method are compared with analytical solutions or with some other CFD technique (Fluent) results. On comparison one can say that Lattice Boltzmann's method is a remarkable tool for simulating and solving computational fluid dynamics problems.

I. Introduction

Lattice Boltzmann's method is an explicit technique to solve fluid flow problem. It is easy to implement and can simulate a number of cases. Boltzmann's equation is discretized on some assumptions which results in lattice Boltzmann's equations. Theses equations are capable of solving transport phenomena problems for example momentum energy and mass transfer problems. FORTRAN is used as a programming language. Fig. 1. D2Q9 Model