Thermodynamic Foundations of Kinetic Theory and Lattice Boltzmann Models for Multiphase Flows

By Xiaoyi He, G. Doolen. 2002

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Lattice‐Boltzmann simulation of two‐phase flow in porous media (2004, background): “One can not introduce temperature since the existence of any energy-like quantity is not known [ He and Doolen, 2002; Hazi et al., 2002].”
Lattice Boltzmann method for modeling liquid‐vapor interface configurations in porous media (2004, methodology): “This functional form of y leads to LB models whose ‘‘. . .behavior is consistent with that of an isothermal process. . .’’ [Shan and Chen, 1994] [see also He and Doolen, 2002]. y0 and r0 can be varied arbitrarily.”
Lattice Boltzmann Method for Simulation of Shale Gas Transport in Kerogen (2013, background): “Currently, more-sophisticated lattice Boltzmann models are being developed to simulate multicomponent and multiphase fluid systems (Shan and Chen 1993; Martys and Chen 1996; He and Doolen 2002).”
Lattice Boltzmann methods for multiphase flow and phase-change heat transfer (2015, background): “When the interaction force is recovered in the momentum equation without any additional terms at the Navier-Stokes level, the pressure tensor P can be defined as [247]”
On equations of state in a lattice Boltzmann method (2009, neutral): “In the framework of isothermal LBE models [1,26], the following formula for the function ψ(ρ)was obtained in [27,28]”