Solving generalized lattice Boltzmann model for 3-D cavity flows using CUDA-GPU

Abstract

The generalized lattice Boltzmann equation (GLBE), with the addition of the standard Smagorinsky subgrid-stress (SGS) model, has been proved that it is more suitable for simulating high Reynolds number turbulent flows when compared with the lattice BGK Boltzmann equation (LBGK). However, the computing efficiency of lattice Boltzmann method (LBM) is too low to make it for practical applications, unless using a massive parallel computing clusters facility. In this study, the massive parallel computing power from an inexpensive graphic processor unit (GPU) and a typical personal computer has been developed for improving the computing efficiency, more than 100 times. This developed three-dimensional (3-D) GLBE-SGS model, with the D3Q19 scheme for simplifying collision and streaming courses, has been successfully used to study 3-D rectangular cavity flows with Reynolds number up to 10000. generalized lattice Boltzmann equation (GLBE), subgrid-stress (SGS), D3Q19, 3-D rectangular cavity flows, GPU