A review of spurious currents in the lattice Boltzmann method for multiphase flows

Kevin Connington, Taehun Lee

Research output: Contribution to journalReview articlepeer-review

104 Scopus citations

Abstract

A spurious current is a small-amplitude artificial velocity field which arises from an imbalance between discretized forces in multi-phase/multi-component flows. If it occurs, the velocity field may persist indefinitely, preventing the achievement of a true equilibrium state. Spurious velocities can sometimes be as large as the characteristic velocities of the problem, causing severe instability and ambigu-ity between physical and spurious velocities. They are typically exacerbated by large values of numerical surface tension or when the two fluids being simulated have large density ratios. The resulting instability can restrict what parameters may be simulated. To varying de-grees, spurious currents are found in all multiphase flow models of the lattice Boltzmann method (LBM). There have been many studies of the occurrence of the phenomenon, and many suggestions on how to eliminate it. This paper reviews the three main models of simulating multiphase/multi-component flow in the lattice Boltzmann method, as well as the subsequent modifications made in order to reduce or eliminate spurious currents.

Original languageEnglish
Pages (from-to)3857-3863
Number of pages7
JournalJournal of Mechanical Science and Technology
Volume26
Issue number12
DOIs
StatePublished - Dec 2012

Keywords

  • Diffuse interface
  • Lattice boltzmann method
  • Multiphase flow
  • Spurious currents

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