Simulation of three-dimensional homogeneous isotropic turbulence using the moment-based lattice Boltzmann method and LES-lattice Boltzmann method

Abstract

Three-dimensional homogeneous isotropic turbulence simulations are conducted using moment-based lattice Boltz-mann method and the large-eddy simulation based lattice Boltzmann method. for two Taylor's microscale Reynolds number, Re λ = 225 and Re λ = 314. On comparing the results obtained from these two methods, we found that the two methods produced favorable agreement in the statistical results. However, the time-dependant results are of different characteristic after the enstrophy value reached its peak. The moment-based lattice Boltzmann method can be concluded as one form of implicit large-eddy simulation. The method is also more efficient in terms of memory usage compared to the traditional large-eddy simulation lattice Boltzmann method.