Renormalization of the Lattice Boltzmann Hierarchy

Details Renormalization of the Lattice Boltzmann Hierarchy Renormalization of the Lattice Boltzmann Hierarchy

2007-03-16

arxiv.org/abs/cond-mat/0703437v1

Phys. Rev. E 76, 025701(R) (2007) (4 pages)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevE.76.025701

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.

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