Abstract:- The Lattice Boltzmann Method is applied to incompressible, steady, laminar flows at high Reynolds numbers varying in a range form 50 to 2000. The developing channel flow and the lid driven cavity flow are analyzed. The effect of the model Mach number on accuracy is investigated by performing computations at different Mach numbers in the range 0.1- 0.4 and comparing the results with finite-volume predictions of the incompressible Navier-Stokes equations. It is observed that the Mach number does not effect the results within this range, and the results agree perfectly well with the finite-volume solution of the incompressible Navier-Stokes equations. An important purpose of the study has been to explore the stability limits of the method. It is observed that the maximum allowed collision frequency decreases with increasing Reynolds and Mach numbers, and this dependency is more predominant, and the limiting collision frequencies are lower for the channel flow compared to the lid driven cavity flow
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