Lattice Boltzmann equation linear stability analysis: thermal and athermal models.

@article{Siebert2008LatticeBE,
  title={Lattice Boltzmann equation linear stability analysis: thermal and athermal models.},
  author={Diogo Nardelli Siebert and Luiz Adolfo Hegele and Paulo Cesar Philippi},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2008},
  volume={77 2 Pt 2},
  pages={026707}
}
Although several thermal lattice Boltzmann models have been proposed, this method has not yet been shown to be able to describe nonisothermal fully compressible flows in a satisfactory manner, mostly due to the presence of important deviations from the advection-diffusion macroscopic equations and also due to numerical instabilities. In this context, this paper presents a linear stability analysis for some lattice Boltzmann models that were recently derived as discrete forms of the continuous… CONTINUE READING

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