Simulation of fully developed turbulent channel flow using MRT Lattice Boltzmann Method

Generalized Lattice Boltzmann Equation (GLBE) was used for computation of turbulent channel flow for which Large Eddy Simulation (LES) was employed as a turbulence model. The subgrid scale turbulence effects are represented by the standard Smagorinsky eddy viscosity model, which is modified by using the van Driest wall-damping function to account for reduction of turbulent length scales near walls. The shear Reynolds number was considered as 180 and a relatively coarse grid was used for the present computations in a parallelized code. This computational framework showed good Numerical stability along with accurate mean velocity distribution across the channel, while negligible discrepancies were observed for turbulent statistics, such as Reynolds stresses. The instantaneous velocity fields in different planes showed the complex structures appeared in such flow geometries. It is concluded that such framework is capable of predicting turbulent flow with good accuracy and smaller computational costs.

Keywords:

Generalized Lattice Boltzmann Equation , Large Eddy Simulation , Reynolds stress