Multiple-relaxation-time lattice Boltzmann models in three dimensions.

  title={Multiple-relaxation-time lattice Boltzmann models in three dimensions.},
  author={Dominique d'Humi{\`e}res and Irina Ginzburg and Manfred Krafczyk and Pierre Lallemand and Li-Shi Luo},
  journal={Philosophical transactions. Series A, Mathematical, physical, and engineering sciences},
  volume={360 1792},
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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