Abstract:- Two-dimensional decaying turbulence is simulated using the lattice Boltzmann method with the Bhatnagar-Gross-Krook collision operator. The simulation results are analyzed in the spectral space and the auto power spectral density functions of the one-particle distribution functions are presented. It is shown that both the equilibrium and the non-equilibrium parts of the distribution functions have a region which can be described by a power-law. Key-Words:- two-dimensional decaying turbulence, lattice Boltzmann method, one-particle velocity distributions, correlations
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