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The capability of the lattice Boltzmann method to simulate turbulent flows using direct and large eddy simulations is explored by performing decaying and forced isotropic turbulence. The decay exponents and the spectral scaling properties of energy and dissipation are compared with classical results. The lattice Boltzmann method, with single and multiple relaxation time, captures important features of turbulence, and the results are in agreement with the classical ones. The ability of the lattice Boltzmann method to perform large eddy simulation using dynamic Smagorinsky model and the local dynamic subgrid kinetic energy method is explored.

Direct and Large-Eddy Simulation of Decaying and Forced Isotropic Turbulence Using Lattice Boltzmann Method