2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134092The 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-Bénard natural convection problems.13 pages, 8 figures; Minor changes, to appear in Phys. Rev. EStatistical MechanicsComputational PhysicsFluid Dynamicstext