Accuracy analysis of high-order lattice Boltzmann models for rarefied gas flows

@article{Meng2011AccuracyAO,
  title={Accuracy analysis of high-order lattice Boltzmann models for rarefied gas flows},
  author={Jianping Meng and Yonghao Zhang},
  journal={J. Comput. Physics},
  year={2011},
  volume={230},
  pages={835-849}
}
In this work, we have theoretically analyzed and numerically evaluated the accuracy of high-order lattice Boltzmann (LB) models for capturing nonequilibrium effects in rarefied gas flows. In the incompressible limit, the LB equation is proved shown to be able to reduce to the linearized BhatnagarGross-Krook (BGK) equation. Therefore, when the same Gauss-Hermite quadrature is used, LB method closely assembles the discrete velocity method (DVM). In addition, the order of Hermite expansion for the… CONTINUE READING

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