Research Specifications

Lattice Boltzmann method (LBM) is a relatively new simulation technique for complex fluid systems and has attracted many interest from researches in the computational physics. Due to its particulate nature and local dynamics, LBM has several advantages over other conventional computational fluid dynamics (CFD) methods, especially in dealing with complex boundaries, incorporating microscopic interactions, and parallelization of the algorithm. In this study, we have applied LBM on Couette flow and face with this modern approach rather than conventional one. This is so fastidious and simplest method compared with the previous ones. The numerical results are presented in the form of diagrams and contours. We represent our numerical results in the form of diagrams and contour, which illustrates them very well. We will represent 100 lattice in both x- and y-directions and will examine the effect of elapsed time, kinematic viscosity, and time step on our solution. We will show that because of our infinity slab in x-direction (    x 0 ), velocity profile in ydirection will not vary. This is the fundamental assumption of unidirectional flows. We will also depict velocity profile, too, which takes a parabolic configuration when we consider its variation with respect to x-direction. Once we will drown the velocity diagram versus length, we will also discuss on its steep, too. This consideration will show that shear stress will decrease with respect to time along x-direction. At the end thought, we will show that increasing of kinematic viscosity must have a same effect as increasing of elapsed time, where time step has nothing to do with this Velocity distribution.