Eliminating spurious velocities in the free energy lattice Boltzmann method

Abstract

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.

arXiv comment8 pages, 3 figures

References in corpus (4)

• Ludwig: A parallel Lattice-Boltzmann code for complex fluids
• Spurious velocities in lattice Boltzmann
• Finite difference lattice Boltzmann model with flux limiters for liquid-vapor systems
• Reduction of spurious velocity in finite difference lattice Boltzmann models for liquid - vapor systems

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