H-theorem and origins of instability in thermal lattice Boltzmann models
In this paper, we present an H-theorem for lattice Boltzmann systems. This is a straightforward extension from that for lattice gas systems obeying generalized semi-detailed balance. We point out that the origin of reduced stabilities seen in thermal lattice Boltzmann models is related to the lack of a global H-theorem. (C) 2000 Elsevier Science B.V. All rights reserved.
h-theorem lattice boltzmann semi-detailed balance boltzmann kinetic theory thermohydrodynamics