English

Lattice Boltzmann method for thermal flow simulation on standard lattices

Statistical Mechanics 2007-07-16 v2 Computational Physics Fluid Dynamics

Abstract

The recently introduced consistent lattice Boltzmann model with energy conservation [S. Ansumali, I.V. Karlin, Phys. Rev. Lett. 95, 260605 (2005)] is extended to the simulation of thermal flows on standard lattices. The two-dimensional thermal model on the standard square lattice with nine velocities is developed and validated in the thermal Couette and Rayleigh-B\'{e}nard natural convection problems.

Keywords

Cite

@article{arxiv.cond-mat/0703598,
  title  = {Lattice Boltzmann method for thermal flow simulation on standard lattices},
  author = {N. I. Prasianakis and I. V. Karlin},
  journal= {arXiv preprint arXiv:cond-mat/0703598},
  year   = {2007}
}

Comments

13 pages, 8 figures; Minor changes, to appear in Phys. Rev. E

R2 v1 2026-07-22T11:44:50.549Z