Lattice Boltzmann method for thermal flow simulation on standard lattices

Details Lattice Boltzmann method for thermal flow simulation on standard lattices Lattice Boltzmann method for thermal flow simulation on standard lattices

2007-03-23

arxiv.org/abs/cond-mat/0703598v2

Phys. Rev. E 76, 016702 (2007) (11 pages)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.76.016702

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.

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