Thermodynamic consistency of the pseudopotential lattice Boltzmann model for simulating liquid–vapor flows

Chen, 1998, Lattice Boltzmann method for fluid flows, Annu. Rev. Fluid Mech., 30, 329, 10.1146/annurev.fluid.30.1.329 Benzi, 1992, The lattice Boltzmann equation: theory and applications, Phys. Rep., 222, 145, 10.1016/0370-1573(92)90090-M Yu, 2003, Viscous flow computations with the method of lattice Boltzmann equation, Prog. Aerosp. Sci., 39, 329, 10.1016/S0376-0421(03)00003-4 Aidun, 2010, Lattice-Boltzmann method for complex flows, Annu. Rev. Fluid Mech., 42, 439, 10.1146/annurev-fluid-121108-145519 Suga, 2013, Lattice Boltzmann methods for complex micro-flows: applicability and limitations for practical applications, Fluid Dyn. Res., 45, 034501, 10.1088/0169-5983/45/3/034501 Wang, 2007, Lattice Boltzmann model for viscous compressible flows with high Mach number Lai, 2010, The lattice Boltzmann model for the second-order Benjamin-Ono equations, J. Stat. Mech. Theory Exp., P04011 Lai, 2011, Lattice Boltzmann model for generalized nonlinear wave equations, Phys. Rev. E, 84, 046708(1), 10.1103/PhysRevE.84.046708 Kikkinides, 2008, Thermodynamic consistency of liquid-gas lattice Boltzmann methods: Interfacial property issues, Phys. Rev. E, 78, 036702(1), 10.1103/PhysRevE.78.036702 Yan, 2011, LBM, a useful tool for mesoscale modelling of single-phase and multiphase flow, Appl. Therm. Eng., 31, 649, 10.1016/j.applthermaleng.2010.10.010 Gunstensen, 1991, Lattice Boltzmann model of immiscible fluids, Phys. Rev. A, 43, 4320, 10.1103/PhysRevA.43.4320 Grunau, 1993, A lattice Boltzmann model for multiphase fluid flows, Phys. Fluids A, 5, 2557, 10.1063/1.858769 Shan, 1993, Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev. E, 47, 1815, 10.1103/PhysRevE.47.1815 Shan, 1994, Simulation of nonideal gases and liquid-gas phase transitions by the lattice-Boltzmann equation, Phys. Rev. E, 49, 2941, 10.1103/PhysRevE.49.2941 Swift, 1995, Lattice Boltzmann simulation of nonideal fluids, Phys. Rev. Lett., 75, 830, 10.1103/PhysRevLett.75.830 Swift, 1996, Lattice Boltzmann simulations of liquid-gas and binary fluid systems, Phys. Rev. E, 54, 5041, 10.1103/PhysRevE.54.5041 Inamuro, 2004, A lattice Boltzmann method for incompressible two-phase flows with large density differences, J. Comput. Phys., 198, 628, 10.1016/j.jcp.2004.01.019 He, 1998, Discrete Boltzmann equation model for nonideal gases, Phys. Rev. E, 57, R13, 10.1103/PhysRevE.57.R13 He, 2002, Thermodynamic foundations of kinetic theory and lattice Boltzmann models for multiphase flows, J. Stat. Phys., 107, 309, 10.1023/A:1014527108336 Sbragaglia, 2007, Generalized lattice Boltzmann method with multirange pseudopotential, Phys. Rev. E, 75, 026702(1), 10.1103/PhysRevE.75.026702 Li, 2012, Forcing scheme in pseudopotential lattice Boltzmann model for multiphase flows, Phys. Rev. E, 86, 016709(1), 10.1103/PhysRevE.86.016709 Li, 2013, Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model, Phys. Rev. E, 87, 053301(1), 10.1103/PhysRevE.87.053301 Lallemand, 2000, Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, Galilean invariance, and stability, Phys. Rev. E, 61, 6546, 10.1103/PhysRevE.61.6546 Li, 2010, Improved axisymmetric lattice Boltzmann scheme, Phys. Rev. E, 81, 056707(1), 10.1103/PhysRevE.81.056707 Shan, 2008, Pressure tensor calculation in a class of nonideal gas lattice Boltzmann models, Phys. Rev. E, 77, 066702(1), 10.1103/PhysRevE.77.066702 Yuan, 2006, Equations of state in a lattice Boltzmann model, Phys. Fluids, 18, 042101(1), 10.1063/1.2187070 Colosqui, 2012, Mesoscopic simulation of non-ideal fluids with self-tuning of the equation of state, Soft Matter, 8, 3798, 10.1039/c2sm06353k Lee, 2005, A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio, J. Comput. Phys., 206, 16, 10.1016/j.jcp.2004.12.001 Zheng, 2006, A lattice Boltzmann model for multiphase flows with large density ratio, J. Comput. Phys., 218, 353, 10.1016/j.jcp.2006.02.015 Purvis, 2005, Droplet impact on water layers: post-impact analysis and computations, Philos. Trans. R. Soc., 363, 1209, 10.1098/rsta.2005.1562