Higher-order lattice Boltzmann model for thermohydrodynamics

We present an energy conserving lattice Boltzmann model on a body-centered-cubic arrangement for thermohydrodynamics. It exhibits accurate thermohydrodynamic behavior with a high degree of accuracy and is therefore capable of simulating compressible and thermal hydrodynamics. The theoretical requirements and the methodology to construct this model have been described in detail and can be employed to construct even more accurate models. Simulations of canonical test cases related to compressible flows like shock tube and thermoacoustic convection and thermal flows like viscous heat dissipation and the Rayleigh-Benard convection are performed to demonstrate the effectiveness of the model.