An Alternative Lattice Boltzmann Model for Incompressible Flows and its Stabilization

@article{Zhang2017AnAL,
  title={An Alternative Lattice Boltzmann Model for Incompressible Flows and its Stabilization},
  author={Liang Zhang and Zhong Zeng and Haiqiong Xie and Zhouhua Qiu and Liping Yao and Yongxiang Zhang and Yiyu Lu},
  journal={Communications in Computational Physics},
  year={2017},
  volume={21},
  pages={443-465}
}
In this paper, an alternative lattice Boltzmann (LB) model for incompressible flows is proposed. By modifying directly the moments of the equilibrium distribution function (EDF), the continuous expression of the EDF in tensor Hermite polynomials is derived using the moment expansion and then discretized with the discrete velocity vectors of the D2Q9 lattice. The present model as well as its counterpart, the incompressible LB model proposed by Guo, reproduces the incompressible Navier-Stokes (N… 
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