Theory of the lattice boltzmann method: dispersion, dissipation, isotropy, galilean invariance, and stability

@article{Lallemand2000TheoryOT,
  title={Theory of the lattice boltzmann method: dispersion, dissipation, isotropy, galilean invariance, and stability},
  author={Lallemand and Luo},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  year={2000},
  volume={61 6 Pt A},
  pages={
          6546-62
        }
}
  • LallemandLuo
  • Published 1 June 2000
  • Physics
  • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
The generalized hydrodynamics (the wave vector dependence of the transport coefficients) of a generalized lattice Boltzmann equation (LBE) is studied in detail. The generalized lattice Boltzmann equation is constructed in moment space rather than in discrete velocity space. The generalized hydrodynamics of the model is obtained by solving the dispersion equation of the linearized LBE either analytically by using perturbation technique or numerically. The proposed LBE model has a maximum number… 

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