  In this paper, we first present a unified framework for the modelling of
generalized lattice Boltzmann method (GLBM). We then conduct a comparison of
the four popular analysis methods (Chapman-Enskog analysis, Maxwell iteration,
direct Taylor expansion and recurrence equations approaches) that have been
used to obtain the macroscopic Navier-Stokes equations and nonlinear
convection-diffusion equations from the GLBM, and show that from mathematical
point of view, these four analysis methods are equivalent to each other.
Finally, we give some elements that are needed in the implementation of the
GLBM, and also find that some available LB models can be obtained from this
GLBM.
