### Two Dimensional Simulation of Incompressible Fluid Flow Using Lattice Boltzmann Method

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#### Abstract

We present the mains of the new method of modeling and simulation lattice Boltzmann methods for fluid flows. Showing some comparisons between classical computations in fluid mechanics based on the resolution of the Navier-Stokes equations and this method. The two dimensional square lattice model with 9 velocities (d2q9) and a simple relaxation time are presented and applied to simulate a laminar flow over backward facing step. The results obtained are in good agreement with those published in the literature. *Copyright © 2013 Praise Worthy Prize - All rights reserved.*

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