The Lattice Boltzmann Method (LBM) has grown in popularity in the last two decades as an alternative to traditional methods in computational fluid dynamics that solve the Navier-Stokes equations. LBM takes a mesoscopic approach and removes the necessity for a complicated advection term present in Navier-solvers because all interactions are local. As a result, code for LBM is more easily parallelizable, and we can more conveniently analyze particle-fluid interactions. The purpose of this project is to program an LBM simulation and analyze Poiseuille flow around a cylinder in a channel, a simplification of a particle in a microchannel. The movement of particles in fluid microchannels is well studied for its applications in, for example, the pharmaceutical and semiconductor industry, including particulate drug delivery and on-chip liquid cooling. The work is done in collaboration with my advisors Rajashree Bhattacharya, UCLA Graduate student, and Mrs. Swetha Bhattacharya. My final product will be an LBM program which produces a visual simulation of the fluid's movement."