You can see it as continuum-ing up from a CA, or you can see it as a discretization of the continuum Boltzmann equation.
What do you mean you don't need Galilean invariance? In the real world, fluid motion is Galilean invariant (unless you're talking relativistic motion, which is a whole other class of thing that lattice gases have trouble with). You might be simulating something but it sure ain't a Navier-Stokes fluid.
What do you mean you don't need Galilean invariance? In the real world, fluid motion is Galilean invariant (unless you're talking relativistic motion, which is a whole other class of thing that lattice gases have trouble with). You might be simulating something but it sure ain't a Navier-Stokes fluid.