Explicit finite-difference lattice Boltzmann method for curvilinear coordinates.

@article{Guo2003ExplicitFL,
  title={Explicit finite-difference lattice Boltzmann method for curvilinear coordinates.},
  author={Zhaoli Guo and Tianshou Zhao},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2003},
  volume={67 6 Pt 2},
  pages={066709}
}
In this paper a finite-difference-based lattice Boltzmann method for curvilinear coordinates is proposed in order to improve the computational efficiency and numerical stability of a recent method [R. Mei and W. Shyy, J. Comput. Phys. 143, 426 (1998)] in which the collision term of the Boltzmann Bhatnagar-Gross-Krook equation for discrete velocities is treated implicitly. In the present method, the implicitness of the numerical scheme is removed by introducing a distribution function different… CONTINUE READING

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