Determination of the pseudopotential gradient in multiphase lattice Boltzmann models

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Using the multiphase lattice Boltzmann method of Shan and Chen [Phys. Rev. E 47, 1815 (1993)], the intermolecular force is calculated from the gradient of a pseudopotential. The pseudopotential is in quadratic relation with the equation of state of the fluid model. This fact motivated some researchers [P. Yuan and L. Schaefer, Phys. Fluids 18, 042101 (2006); R. S. Qin, Phys. Rev E 73, 066703 (2006)] to introduce new forms for the pseudopotential and to model fluids with some desired equation of state. Using such models the determination of the pseudopotential and its gradient is often ambiguous and lead to numerical instabilities as we demonstrate in this paper. We propose a simple method to solve this problem.

Original languageEnglish
Article number022101
JournalPhysics of Fluids
Issue number2
Publication statusPublished - Feb 2008


ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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