Thirteen-velocity three-dimensional lattice Boltzmann model - art. no. 066702

A thirteen-velocity three-dimensional lattice Boltzmann model on a cubic gr id is presented. The transport coefficients derived from the standard Chapm an-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 equati on. Comparison of the time evolution of a freely decaying Taylor-Green vort ex computed by fast Fourier transform and by the present model is presented .