Eliminating spurious velocities in the free-energy lattice Boltzmann method

C. M. Pooley*, K. Furtado

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Spurious velocities are unphysical currents that appear close to curved interfaces in diffuse interface methods. We analyze 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 similar to 5. In three dimensions we find that 19 velocity vectors is the minimum number necessary.

Original languageEnglish
Article number046702
Number of pages9
JournalPhysical Review E - Statistical, Nonlinear and Soft Matter Physics
Volume77
Issue number4
DOIs
Publication statusPublished - Apr 2008

Keywords

  • MODELS
  • SYSTEMS

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