articlePhilosophical Transactions of the Royal Society A Mathematical Physical and Engineering SciencesMar 15, 2002Closed access

Multiple–relaxation–time lattice Boltzmann models in three dimensions

DDDominique d’Humières
PubMed
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Abstract

This article provides a concise exposition of the multiple-relaxation-time lattice Boltzmann equation, with examples of 15-velocity and 19-velocity models in three dimensions. Simulation of a diagonally lid-driven cavity flow in three dimensions at Re = 500 and 2000 is performed. The results clearly demonstrate the superior numerical stability of the multiple-relaxation-time lattice Boltzmann equation over the popular lattice Bhatnagar-Gross-Krook equation.

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Topics & keywords

Topics
Keywords
  • Lattice Boltzmann methods
  • HPP model
  • Boltzmann equation
  • Statistical physics
  • Bhatnagar–Gross–Krook operator
  • Diagonal
  • Mathematics
  • Lattice (music)
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