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A generalization of the lattice Bhatnagar-Gross-Krook (LBGK) model for thesimulation of hydrodynamics is presented, which takes into account thedifference and the frame-independence of the relaxation of non-hydrodynamicmodes. The present model retains the computationally efficient standard LBGKform with the generalized equilibrium explicitly derived. The two-dimensionalrealization on the standard lattice is discussed in detail. Performance of themodel is assessed through a shear layer simulation and enhanced stability andaccuracy with respect to the standard LBGK are reported. The resultsdemonstrate that the present model is a useful upgrade of the standard LBGKwithout compromising its computational efficiency and accuracy.

Enhanced lattice Bhatnagar-Gross-Krook method for fluid dynamics simulation