Thirteen-velocity three-dimensional lattice Boltzmann model
- 21 May 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 63 (6) , 066702
- https://doi.org/10.1103/physreve.63.066702
Abstract
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.Keywords
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