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