The Simulation And Analysis Of Three-dimensional Lid-driven Cavity Flows With GPU Based Lattice Boltzmann Method

Lattice Boltzmann(LB) Method is the fluid calculation and simulation method which is different from traditional numerical method, it is based on the kinetic theory, has a clear physical background, what is more, it also has many advantages such as easily dealing with boundary conditions, the progress can be carried out simply, and has the natural parallelism. So this article mainly uses LB Method and the acceleration ability of GPU-CUDA to speed up the lid-driven cavity flow(LDF) programs. In order to illustrate the correctness and capacity of the GPU-CUDA, firstly, we perform some numerical simulations of two-dimensional steady flows, and conduct a comparison of the other methods. The results indicate that, compared to the original CPU program, the GPU-CUDA can reduce the computation time efficiently. We then extend the GPU-CUDA method to study the three-dimensional lid-driven cavity flow problems,then, we can find that the present results are in good agreement with available benchmark results which indicates CUDA-GPU program is also accurate and efficient in studying three-dimensional problems. At last, the structures of vortices of cavity are considered,with the change of Re and the radio of rectangular cavity's length, width and height, the structures and coordinates of rectangular cavity's vortices also have been changed, what's more, the symmetry affiliated vortices aside the secondary vortex in deep cavity is also found when Re is greater than a certain critical value in the deep LDF. In addition, We also find that the affiliated vortices aside the secondary vortex only appear in deep LDF,not in the cubic cavity.