Evaluation of three lattice Boltzmann models for multiphase flows in porous media
Tài liệu tham khảo
Luo, 1998, Unified theory of the lattice Boltzmann models for nonideal gases, Phys. Rev. Lett., 81, 1618, 10.1103/PhysRevLett.81.1618
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
Shan, 1995, Multicomponent lattice-Boltzmann model with interparticle interaction, J. Stat. Phys., 81, 379, 10.1007/BF02179985
Sukop, 2006
Kang, 2002, Displacement of a two-dimensional immiscible droplet in a channel, Phys. Fluids, 14, 3203, 10.1063/1.1499125
Benzi, 2006, Mesoscopic modeling of a two-phase flow in the presence of boundaries: the contact angle, Phys. Rev. E, 74, 021509, 10.1103/PhysRevE.74.021509
Huang, 2007, Proposed approximation for contact angles in Shan-and-Chen-type multicomponent multiphase lattice Boltzmann models, Phys. Rev. E, 76, 066701, 10.1103/PhysRevE.76.066701
Latva-Kokko, 2005, Static contact angle in lattice Boltzmann models of immiscible fluids, Phys. Rev. E, 72, 046701, 10.1103/PhysRevE.72.046701
Angelopoulos, 1998, Lattice Boltzmann simulation of nonideal vapor–liquid flow in porous media, Phys. Rev. E, 57, 3237, 10.1103/PhysRevE.57.3237
Pan, 2004, Lattice-Boltzmann simulation of two-phase flow in porous media, Water Resour. Res., 40, W01501, 10.1029/2003WR002120
Li, 2005, Pore-scale investigation of viscous coupling effects for two-phase flow in porous media, Phys. Rev. E, 72, 026705, 10.1103/PhysRevE.72.026705
Langaas, 2001, Numerical investigations of the steady state relative permeability of a simplified porous medium, Transp. Porous Media, 45, 241, 10.1023/A:1012002002804
Gunstensen, 1991, Lattice Boltzmann model of immiscible fluids, Phys. Rev. A, 43, 4320, 10.1103/PhysRevA.43.4320
Rothman, 1988, Immiscible cellular-automaton fluids, J. Stat. Phys., 52, 1119, 10.1007/BF01019743
Grunau, 1993, A lattice Boltzmann model for multiphase fluid flows, Phys. Fluids A, 5, 2557, 10.1063/1.858769
Ahrenholz, 2008, Prediction of capillary hysteresis in a porous material using lattice Boltzmann methods and comparison to experimental data and a morphological pore network model, Adv. Water Resour., 31, 1151, 10.1016/j.advwatres.2008.03.009
Shan, 1993, Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev. E, 47, 1815, 10.1103/PhysRevE.47.1815
Huang, 2009, Relative permeabilities and coupling effects in steady-state gas–liquid flow in porous media: a lattice Boltzmann study, Phys. Fluids, 21, 092104, 10.1063/1.3225144
Swift, 1995, Lattice Boltzmann simulation of nonideal fluids, Phys. Rev. Lett., 75, 830, 10.1103/PhysRevLett.75.830
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
Hou, 1997, Evaluation of two lattice Boltzmann models for multiphase flows, J. Comput. Phys., 138, 695, 10.1006/jcph.1997.5839
He, 1999, A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh–Taylor instability, J. Comput. Phys., 152, 642, 10.1006/jcph.1999.6257
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
Fakhari, 2010, Phase-field modeling by the method of lattice Boltzmann equations, Phys. Rev. E, 81, 036707, 10.1103/PhysRevE.81.036707
Ayodele, 2006, Theoretical analysis of viscous coupling in two-phase flow through porous media, Transp. Porous Media, 64, 171, 10.1007/s11242-005-2809-8
Kalaydjian, 1990, Origin and quantification of coupling between relative permeabilities for 2-phase flows in porous-media, Transp. Porous Media, 5, 215, 10.1007/BF00140013
Martys, 1996, Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method, Phys. Rev. E, 53, 743, 10.1103/PhysRevE.53.743
Sukop, 2008, Distribution of multiphase fluids in porous media: Comparison between lattice Boltzmann modeling and micro-x-ray tomography, Phys. Rev. E, 77, 026710, 10.1103/PhysRevE.77.026710
Jacqmin, 1999, Calculation of two-phase Navier–Stokes flows using phase-field modeling, J. Comput. Phys., 155, 96, 10.1006/jcph.1999.6332
Kendon, 2001, Inertial effects in three-dimensional spinodal decomposition of a symmetric binary fluid mixture: a lattice Boltzmann study, J. Fluid Mech., 440, 147, 10.1017/S0022112001004682
Takada, 2001, Simulation of bubble motion under gravity by lattice Boltzmann method, J. Nucl. Sci. Technol., 38, 330, 10.1080/18811248.2001.9715037
Huang, 2009, Mobility-dependent bifurcations in capillarity-driven two-phase fluid systems by using a lattice Boltzmann phase-field model, Internat. J. Numer. Methods Fluids, 60, 203, 10.1002/fld.1885
Langaas, 2000, Lattice Boltzmann simulation of a binary fluid with different phase viscosities and its application to fingering in two dimensions, Eur. Phys. J. B, 15, 133, 10.1007/s100510051107
Lamura, 2003, A lattice Boltzmann for disordered fluids, Internat. J. Modern Phys. B, 17, 145, 10.1142/S0217979203017230
Swift, 1996, Lattice Boltzmann simulations of liquid–gas and binary fluid systems, Phys. Rev. E, 54, 5041, 10.1103/PhysRevE.54.5041
Jamet, 2002, On the theory and computation of surface tension: the elimination of parasitic currents through energy conservation in the second-gradient method, J. Comput. Phys., 182, 262, 10.1006/jcph.2002.7165
Rowlinson, 1989
Inamuro, 2000, Galilean invariant model of the lattice Boltzmann method for multiphase fluid flows using free-energy approach, Comput. Phys. Comm., 129, 32, 10.1016/S0010-4655(00)00090-4
Briant, 2004, Lattice Boltzmann simulations of contact line motion. II. Binary fluids, Phys. Rev. E, 69, 031603, 10.1103/PhysRevE.69.031603
Kang, 2004, Immiscible displacement in a channel: simulations of fingering in two dimensions, Adv. Water Resour., 27, 13, 10.1016/j.advwatres.2003.10.002
