LATTICE BOLTZMANN COMPUTATION OF FLOWS IN THREE-DIMENSIONAL LID-DRIVEN CAVITIES WITH TWO TYPES OF WALL MOTION

This work deals with the application of Lattice Boltzmann method (LBM) to demonstrate the three-dimensional effect in the three-dimensional cubic and prism cavities with two types of wall motion. The three-dimensional results at mid-plane will deviate from the two-dimensional results due to the boundary layer effect of the side walls. Three-dimensional Lattice Boltzmann models including D3Q15, D3Q19, D3Q27 and a two-dimensional model namely, D2Q9 are used in the present work to calculate the flow in a cubic and square cavity. The mid-span three-dimensional LBM results have been compared with appropriate two-dimensional LBM results in order to study the three-dimensional effect. The boundary conditions used are stable and of good accuracy. For three-dimensional computations D3Q19 lattice model is considered to be the most efficient for use. Computations have been performed for low to high Reynolds numbers and they are validated by comparison with established results