Monte Carlo solution of the Boltzmann equation via a discrete velocity model

@article{Morris2011MonteCS,
  title={Monte Carlo solution of the Boltzmann equation via a discrete velocity model},
  author={A. B. Morris and P. L. Varghese and D. B. Goldstein},
  journal={J. Comput. Physics},
  year={2011},
  volume={230},
  pages={1265-1280}
}
A new discrete velocity scheme for solving the Boltzmann equation is described. Directly solving the Boltzmann equation is computationally expensive because, in addition to working in physical space, the nonlinear collision integral must also be evaluated in a velocity space. Collisions between each point in velocity space with all other points in velocity space must be considered in order to compute the collision integral most accurately, but this is expensive. The computational costs in the… CONTINUE READING