Rotational invariance in the three-dimensional lattice Boltzmann method is dependent on the choice of lattice

@article{White2011RotationalII,
  title={Rotational invariance in the three-dimensional lattice Boltzmann method is dependent on the choice of lattice},
  author={Alexander Thomas White and Chuh Khiun Chong},
  journal={J. Comput. Physics},
  year={2011},
  volume={230},
  pages={6367-6378}
}
The lattice Boltzmann method has recently gained popularity as a tool for simulating complex fluid flows. It uses discrete sets of velocity vectors, or lattices, to create a reduced model of the molecular dynamics of a continuum fluid. While several lattices are believed to behave isotropically, there are reports of qualitatively incorrect results. However, thus far, the reason as to why a lack of isotropy occurs is not known. Based on the hypothesis that lower order lattices may not display… CONTINUE READING

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