Renormalization of the lattice Boltzmann hierarchy

Is it possible to solve Boltzmann-type kinetic equations using only a small number of particle velocities ? We introduce a technique of solving kinetic equations with a (arbitrarily) large number of particle velocities using only a lattice Boltzmann method on standard, low-symmetry lattices. The renormalized kinetic equation is validated with an exact solution of the planar Couette flow at moderate Knudsen numbers.