Filter-matrix lattice Boltzmann model for incompressible thermal flows.

@article{Zhuo2012FiltermatrixLB,
  title={Filter-matrix lattice Boltzmann model for incompressible thermal flows.},
  author={Congshan Zhuo and Chengwen Zhong and Jun Cao},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2012},
  volume={85 4 Pt 2},
  pages={046703}
}
In this study, a new filter-matrix lattice Boltzmann (FMLB) model is proposed and extended to include incompressible thermal flows. A new equilibrium solution is found in the improved FMLB model, which is derived from the Hermite expansion. As a result, the velocity-dependent pressure is removed, which is an inherent defect of Somers's FMLB model. In… CONTINUE READING