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We present here a comparison between collision-streaming andfinite-difference lattice Boltzmann (LB) models. This study provides aderivation of useful formulae which help one to properly compare the simulationresults obtained with both LB models. We consider three physical problems: theshock wave propagation, the damping of shear waves, and the decay ofTaylor-Green vortices, often used as benchmark tests. Despite the differentmathematical and computational complexity of the two methods, we show how thephysical results can be related to obtain relevant quantities.

Comparison between isothermal collision-streaming and finite-difference lattice Boltzmann models