Journal of Statistical Physics, Vol. 121, Nos. 1/2, October 2005. p. 119-131.
DOI: 10.1007/s10955-005-5256-6
A discrete velocity model is presented for lattice Boltzmann thermal fluid dynamics. This model is implemented and tested in two dimensions with a finite difference scheme. Comparison with analytical solutions shows an excellent agreement even for wide temperature differences. An alternative approximate approach is then presented for traditional lattice transport schemes.