Generalized lattice Boltzmann equation with forcing term for computation of wall-bounded turbulent flows with using CUDA programming

Generalized lattice Boltzmann equation with forcing term for computation of wall-bounded turbulent flows with using CUDA programming

In this paper we implement generalized lattice Boltzmann equation (GLBE) using multiple relaxation times with forcing term. The implementation of LBM is on a GPU (Graphic Processing Unit) platform using CUDA (Compute Unified Device Architecture). In the present paper we accurately using a CUDA code of a lattice Boltzmann solver for simulating turbulent flows. we present the combination of LBM and CUDA for computing of turbulent channel flow for which large eddy simulation (LES) was employed as a turbulence model and compare our results with the results of direct numerical simulation (DNS). The sub grid scale (SGS) turbulence effects were simulated through a shear-improved Smagorinsky model (SISM), which is capable of predicting turbulent near wall region accurately without any wall function. Computations were done for fully developed turbulent channel flow at Re 180   , based on channel half-width and average friction velocity. It was concluded that using GPUs decrease the cost and the time of computation which help us to solve many practical problems. The defect of nowadays GPUs is that they are single precision.