Thirteen-velocity three-dimensional lattice Boltzmann model.
A thirteen-velocity three-dimensional lattice Boltzmann model on a cubic grid is presented. The transport coefficients derived from the standard Chapman-Enskog expansion are given together with the conditions for isotropy and Galilean invariance. The different invariants of the model are discussed. The results of measurements of drag and torque on a free falling sphere in a cylinder are in good agreement with solutions of the Navier-Stokes equation. Comparison of the time evolution of a freely decaying Taylor-Green vortex computed by fast Fourier transform and by the present model is presented.
d'Humières
D
D
Laboratoire CNRS-ASCI, Bâtiment 506, Université Paris-Sud (Paris XI Orsay), 91405 Orsay Cedex, France. dominique.dhumieres@lps.ens.fr
Bouzidi
M
M
Lallemand
P
P