Eliminating spurious velocities in the free energy lattice Boltzmann method

Details Eliminating spurious velocities in the free energy lattice Boltzmann method Eliminating spurious velocities in the free energy lattice Boltzmann method

2007-10-29

arxiv.org/abs/0710.5470v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, 3 figures

Scientific paper

10.1103/PhysRevE.77.046702

Spurious velocities are unphysical currents that appear close to curved interfaces in diffuse interface methods. We analyse the causes of these spurious velocities in the free energy lattice Boltzmann algorithm. By making a suitable choice of the equilibrium distribution, and by finding the best way to numerically calculate derivatives, we show that these velocities may be decreased by an order of magnitude compared to previous models. Furthermore, we propose a momentum conserving forcing method that reduces spurious velocities by another factor of ~5. In three dimensions we find that 19 velocity vectors is the minimum number necessary.

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