Renormalization of the Lattice Boltzmann Hierarchy
arXiv:cond-mat/0703437 · doi:10.1103/PhysRevE.76.025701
Abstract
Is it possible to solve Boltzmann-type kinetic equations using only a small number of particles velocities? We introduce a novel techniques of solving kinetic equations with (arbitrarily) large number of particle velocities using only a lattice Boltzmann method on standard, low-symmetry lattices. The renormalized kinetic equation is validated with the exact solution of the planar Couette flow at moderate Knudsen numbers.
4 pages, 1 figure