Abstract
In this note, we show that the lattice Boltzmann BGK method in common use can be derived from the Boltzmann equation itself. According to the present derivation, it is apparent that the equation thus derived can be reduced to the Navier-Stokes equation at a limit of small Knudsen number since the equation thus derived is the Boltzmann equation itself. Hence the present derivation method gives us a simple and flexible recipe to construct the lattice Boltzmann method, and makes it easy to construct an extended lattice Boltzmann method in various ways. 15 refs., 1 fig.
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