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Volumn 61, Issue 12, 2011, Pages 3606-3617

Evaluation of three lattice Boltzmann models for multiphase flows in porous media

Author keywords

Free energy; Lattice Boltzmann; Multicomponent; Multiphase; Porous media; ShanChen

Indexed keywords

ANALYTICAL SOLUTIONS; COUNTER CURRENT; FE MODEL; FLOWS IN POROUS MEDIA; GALILEAN INVARIANCE; HIGH VISCOSITIES; HOMOGENEOUS MEDIA; LATTICE BOLTZMANN; LATTICE BOLTZMANN MODELS; MASS CONSERVATION; MULTICOMPONENTS; MULTIPHASE; NUMERICAL TESTS; PORE SCALE; RELATIVE PERMEABILITY; SHANCHEN; VISCOSITY RATIOS;

EID: 79958836197     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.06.034     Document Type: Article
Times cited : (140)

References (40)
  • 1
    • 0000192442 scopus 로고    scopus 로고
    • Unified theory of lattice Boltzmann models for nonideal gases
    • L.-S. Luo Unified theory of the lattice Boltzmann models for nonideal gases Phys. Rev. Lett. 81 8 1998 1618 1621 (Pubitemid 128628373)
    • (1998) Physical Review Letters , vol.81 , Issue.8 , pp. 1618-1621
    • Luo, L.-S.1
  • 2
    • 3242883476 scopus 로고    scopus 로고
    • A lattice Boltzmann method for incompressible two-phase flows with large density differences
    • DOI 10.1016/j.jcp.2004.01.019, PII S0021999104000567
    • T. Inamuro, T. Ogata, S. Tajima, and N. Konishi A lattice Boltzmann method for incompressible two-phase flows with large density differences J. Comput. Phys. 198 2 2004 628 644 (Pubitemid 38999055)
    • (2004) Journal of Computational Physics , vol.198 , Issue.2 , pp. 628-644
    • Inamuro, T.1    Ogata, T.2    Tajima, S.3    Konishi, N.4
  • 3
    • 21844513027 scopus 로고
    • Multicomponent lattice-Boltzmann model with interparticle interaction
    • X. Shan, and G. Doolen Multicomponent lattice-Boltzmann model with interparticle interaction J. Stat. Phys. 81 1995 379 393
    • (1995) J. Stat. Phys. , vol.81 , pp. 379-393
    • Shan, X.1    Doolen, G.2
  • 5
    • 0036733094 scopus 로고    scopus 로고
    • Displacement of a two-dimensional immiscible droplet in a channel
    • Q.J. Kang, D.X. Zhang, and S.Y. Chen Displacement of a two-dimensional immiscible droplet in a channel Phys. Fluids 14 9 2002 3203 3214
    • (2002) Phys. Fluids , vol.14 , Issue.9 , pp. 3203-3214
    • Kang, Q.J.1    Zhang, D.X.2    Chen, S.Y.3
  • 6
    • 33748276651 scopus 로고    scopus 로고
    • Mesoscopic modeling of a two-phase flow in the presence of boundaries: The contact angle
    • R. Benzi, L. Biferale, M. Sbragaglia, S. Succi, and F. Toschi Mesoscopic modeling of a two-phase flow in the presence of boundaries: the contact angle Phys. Rev. E 74 2 2006 021509
    • (2006) Phys. Rev. e , vol.74 , Issue.2 , pp. 021509
    • Benzi, R.1    Biferale, L.2    Sbragaglia, M.3    Succi, S.4    Toschi, F.5
  • 7
    • 36749038803 scopus 로고    scopus 로고
    • Proposed approximation for contact angles in Shan-and-Chen-type multicomponent multiphase lattice Boltzmann models
    • H.B. Huang, D.T. Thorne, M.G. Schaap, and M.C. Sukop Proposed approximation for contact angles in Shan-and-Chen-type multicomponent multiphase lattice Boltzmann models Phys. Rev. E 76 2007 066701
    • (2007) Phys. Rev. e , vol.76 , pp. 066701
    • Huang, H.B.1    Thorne, D.T.2    Schaap, M.G.3    Sukop, M.C.4
  • 8
    • 28844470998 scopus 로고    scopus 로고
    • Static contact angle in lattice Boltzmann models of immiscible fluids
    • M. Latva-Kokko, and D.H. Rothman Static contact angle in lattice Boltzmann models of immiscible fluids Phys. Rev. E 72 4 2005 046701
    • (2005) Phys. Rev. e , vol.72 , Issue.4 , pp. 046701
    • Latva-Kokko, M.1    Rothman, D.H.2
  • 10
    • 1642271800 scopus 로고    scopus 로고
    • Lattice-Boltzmann simulation of two-phase flow in porous media
    • C. Pan, M. Hilpert, and C.T. Miller Lattice-Boltzmann simulation of two-phase flow in porous media Water Resour. Res. 40 2004 W01501
    • (2004) Water Resour. Res. , vol.40 , pp. 01501
    • Pan, C.1    Hilpert, M.2    Miller, C.T.3
  • 11
    • 27244434179 scopus 로고    scopus 로고
    • Pore-scale investigation of viscous coupling effects for two-phase flow in porous media
    • H. Li, C. Pan, and C.T. Miller Pore-scale investigation of viscous coupling effects for two-phase flow in porous media Phys. Rev. E 72 2005 026705
    • (2005) Phys. Rev. e , vol.72 , pp. 026705
    • Li, H.1    Pan, C.2    Miller, C.T.3
  • 12
    • 0035504757 scopus 로고    scopus 로고
    • Numerical investigations of the steady state relative permeability of a simplified porous medium
    • DOI 10.1023/A:1012002002804
    • K. Langaas, and P. Papatzacos Numerical investigations of the steady state relative permeability of a simplified porous medium Transp. Porous Media 45 2001 241 266 (Pubitemid 33073194)
    • (2001) Transport in Porous Media , vol.45 , Issue.2 , pp. 241-266
    • Langaas, K.1    Papatzacos, P.2
  • 14
    • 34250089909 scopus 로고
    • Immiscible cellular-automaton fluids
    • D.H. Rothman, and J.M. Keller Immiscible cellular-automaton fluids J. Stat. Phys. 52 34 1988 1119 1127
    • (1988) J. Stat. Phys. , vol.52 , Issue.34 , pp. 1119-1127
    • Rothman, D.H.1    Keller, J.M.2
  • 15
    • 36449006585 scopus 로고
    • A lattice Boltzmann model for multiphase fluid flows
    • D. Grunau, S. Chen, and K. Eggert A lattice Boltzmann model for multiphase fluid flows Phys. Fluids A 5 10 1993 2557 2562
    • (1993) Phys. Fluids A , vol.5 , Issue.10 , pp. 2557-2562
    • Grunau, D.1    Chen, S.2    Eggert, K.3
  • 16
    • 50349099156 scopus 로고    scopus 로고
    • Prediction of capillary hysteresis in a porous material using lattice Boltzmann methods and comparison to experimental data and a morphological pore network model
    • B. Ahrenholz, J. Tolke, P. Lehmann, A. Peters, A. Kaestner, M. Krafczyk, and W. Durner 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 9 2008 1151 1173
    • (2008) Adv. Water Resour. , vol.31 , Issue.9 , pp. 1151-1173
    • Ahrenholz, B.1    Tolke, J.2    Lehmann, P.3    Peters, A.4    Kaestner, A.5    Krafczyk, M.6    Durner, W.7
  • 17
    • 24844466239 scopus 로고
    • Lattice Boltzmann model for simulating flows with multiple phases and components
    • X. Shan, and H. Chen Lattice Boltzmann model for simulating flows with multiple phases and components Phys. Rev. E 47 3 1993 1815 1819
    • (1993) Phys. Rev. e , vol.47 , Issue.3 , pp. 1815-1819
    • Shan, X.1    Chen, H.2
  • 18
    • 71049152854 scopus 로고    scopus 로고
    • Relative permeabilities and coupling effects in steady-state gasliquid flow in porous media: A lattice Boltzmann study
    • H.B. Huang, and X.-Y. Lu Relative permeabilities and coupling effects in steady-state gasliquid flow in porous media: a lattice Boltzmann study Phys. Fluids 21 9 2009 092104
    • (2009) Phys. Fluids , vol.21 , Issue.9 , pp. 092104
    • Huang, H.B.1    Lu, X.-Y.2
  • 19
    • 11744361965 scopus 로고
    • Lattice Boltzmann simulation of nonideal fluids
    • M.R. Swift, W.R. Osborn, and J.M. Yeomans Lattice Boltzmann simulation of nonideal fluids Phys. Rev. Lett. 75 5 1995 830 833
    • (1995) Phys. Rev. Lett. , vol.75 , Issue.5 , pp. 830-833
    • Swift, M.R.1    Osborn, W.R.2    Yeomans, J.M.3
  • 20
    • 33748580960 scopus 로고    scopus 로고
    • A lattice Boltzmann model for multiphase flows with large density ratio
    • DOI 10.1016/j.jcp.2006.02.015, PII S002199910600088X
    • H.W. Zheng, C. Shu, and Y.T. Chew A lattice Boltzmann model for multiphase flows with large density ratio J. Comput. Phys. 218 2006 353 371 (Pubitemid 44364193)
    • (2006) Journal of Computational Physics , vol.218 , Issue.1 , pp. 353-371
    • Zheng, H.W.1    Shu, C.2    Chew, Y.T.3
  • 21
    • 0031537359 scopus 로고    scopus 로고
    • Evaluation of two lattice Boltzmann models for multiphase flows
    • S.L. Hou, X.W. Shan, and Q.S. Zou Evaluation of two lattice Boltzmann models for multiphase flows J. Comput. Phys. 138 2 1997 695 713
    • (1997) J. Comput. Phys. , vol.138 , Issue.2 , pp. 695-713
    • Hou, S.L.1    Shan, X.W.2    Zou, Q.S.3
  • 22
    • 0347963841 scopus 로고    scopus 로고
    • A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of RayleighTaylor instability
    • X.Y. He, S.Y. Chen, and R.Y. Zhang A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of RayleighTaylor instability J. Comput. Phys. 152 2 1999 642 663
    • (1999) J. Comput. Phys. , vol.152 , Issue.2 , pp. 642-663
    • He, X.Y.1    Chen, S.Y.2    Zhang, R.Y.3
  • 23
    • 79952592246 scopus 로고    scopus 로고
    • A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio
    • T. Lee, and C.L. Lin A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio J. Comput. Phys. 206 2005 16 47
    • (2005) J. Comput. Phys. , vol.206 , pp. 16-47
    • Lee, T.1    Lin, C.L.2
  • 24
    • 77950452936 scopus 로고    scopus 로고
    • Phase-field modeling by the method of lattice Boltzmann equations
    • A. Fakhari, and M.H. Rahimian Phase-field modeling by the method of lattice Boltzmann equations Phys. Rev. E 81 2010 036707
    • (2010) Phys. Rev. e , vol.81 , pp. 036707
    • Fakhari, A.1    Rahimian, M.H.2
  • 25
    • 33646910768 scopus 로고    scopus 로고
    • Theoretical analysis of viscous coupling in two-phase flow through porous media
    • DOI 10.1007/s11242-005-2809-8
    • O.R. Ayodele Theoretical analysis of viscous coupling in two-phase flow through porous media Transp. Porous Media 64 2006 171 184 (Pubitemid 43792732)
    • (2006) Transport in Porous Media , vol.64 , Issue.2 , pp. 171-184
    • Ayodele, O.R.1
  • 26
    • 0025444746 scopus 로고
    • Origin and quantification of coupling between relative permeabilities for two-phase flows in porous media
    • F. Kalaydjian Origin and quantification of coupling between relative permeabilities for 2-phase flows in porous-media Transp. Porous Media 5 1990 215 229 (Pubitemid 20719537)
    • (1990) Transport in Porous Media , vol.5 , Issue.3 , pp. 215-229
    • Kalaydjian Francois1
  • 28
    • 40849124051 scopus 로고    scopus 로고
    • Distribution of multiphase fluids in porous media: Comparison between lattice Boltzmann modeling and micro-x-ray tomography
    • M.C. Sukop, H.B. Huang, C.L. Lin, M.D. Deo, K. Oh, and J.D. Miller Distribution of multiphase fluids in porous media: Comparison between lattice Boltzmann modeling and micro-x-ray tomography Phys. Rev. E 77 2008 026710
    • (2008) Phys. Rev. e , vol.77 , pp. 026710
    • Sukop, M.C.1    Huang, H.B.2    Lin, C.L.3    Deo, M.D.4    Oh, K.5    Miller, J.D.6
  • 29
    • 0002521331 scopus 로고    scopus 로고
    • Calculation of two-phase NavierStokes flows using phase-field modeling
    • D. Jacqmin Calculation of two-phase NavierStokes flows using phase-field modeling J. Comput. Phys. 155 1999 96 127
    • (1999) J. Comput. Phys. , vol.155 , pp. 96-127
    • Jacqmin, D.1
  • 30
    • 0035839235 scopus 로고    scopus 로고
    • Inertial effects in three-dimensional spinodal decomposition of a symmetric binary fluid mixture: A lattice Boltzmann study
    • DOI 10.1017/S0022112001004682
    • V.M. Kendon, M.E. Cates, I. Pagonabarraga, J.C. Desplat, and P. Bladon Inertial effects in three-dimensional spinodal decomposition of a symmetric binary fluid mixture: a lattice Boltzmann study J. Fluid Mech. 440 2001 147 203 (Pubitemid 32739692)
    • (2001) Journal of Fluid Mechanics , vol.440 , pp. 147-203
    • Kendon, V.M.1    Cates, M.E.2    Pagonabarraga, I.3    Desplat, J.-C.4    Bladon, P.5
  • 32
    • 67649908850 scopus 로고    scopus 로고
    • Mobility-dependent bifurcations in capillarity-driven two-phase fluid systems by using a lattice Boltzmann phase-field model
    • J.J. Huang, C. Shu, and Y.T. Chew Mobility-dependent bifurcations in capillarity-driven two-phase fluid systems by using a lattice Boltzmann phase-field model Internat. J. Numer. Methods Fluids 60 2009 203 225
    • (2009) Internat. J. Numer. Methods Fluids , vol.60 , pp. 203-225
    • Huang, J.J.1    Shu, C.2    Chew, Y.T.3
  • 33
    • 0000252685 scopus 로고    scopus 로고
    • Lattice Boltzmann simulation of a binary fluid with different phase viscosities and its application to fingering in two dimensions
    • K. Langaas, and J.M. Yeomans Lattice Boltzmann simulation of a binary fluid with different phase viscosities and its application to fingering in two dimensions Eur. Phys. J. B 15 1 2000 133 141
    • (2000) Eur. Phys. J. B , vol.15 , Issue.1 , pp. 133-141
    • Langaas, K.1    Yeomans, J.M.2
  • 34
    • 0037455638 scopus 로고    scopus 로고
    • A lattice Boltzmann for disordered fluids
    • A. Lamura, and S. Succi S A lattice Boltzmann for disordered fluids Internat. J. Modern Phys. B 17 2003 145 148
    • (2003) Internat. J. Modern Phys. B , vol.17 , pp. 145-148
    • Lamura, A.1    Succi, S.S.2
  • 36
    • 0037058088 scopus 로고    scopus 로고
    • On the theory and computation of surface tension: The elimination of parasitic currents through energy conservation in the second-gradient method
    • D. Jamet, D. Torres, and J.U. Brackbill 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 2002 262 276
    • (2002) J. Comput. Phys. , vol.182 , pp. 262-276
    • Jamet, D.1    Torres, D.2    Brackbill, J.U.3
  • 38
    • 0034229781 scopus 로고    scopus 로고
    • Galilean invariant model of the lattice Boltzmann method for multiphase fluid flows using free-energy approach
    • T. Inamuro, N. Konishi, and F. Ogino Galilean invariant model of the lattice Boltzmann method for multiphase fluid flows using free-energy approach Comput. Phys. Comm. 129 2000 32 45
    • (2000) Comput. Phys. Comm. , vol.129 , pp. 32-45
    • Inamuro, T.1    Konishi, N.2    Ogino, F.3
  • 39
    • 42749106242 scopus 로고    scopus 로고
    • Lattice Boltzmann simulations of contact line motion. II. Binary fluids
    • A.J. Briant, and J.M. Yeomans Lattice Boltzmann simulations of contact line motion. II. Binary fluids Phys. Rev. E 69 2004 031603
    • (2004) Phys. Rev. e , vol.69 , pp. 031603
    • Briant, A.J.1    Yeomans, J.M.2
  • 40
    • 0348134616 scopus 로고    scopus 로고
    • Immiscible displacement in a channel: Simulations of fingering in two dimensions
    • DOI 10.1016/j.advwatres.2003.10.002
    • Q.J. Kang, D.X. Zhang, and S. Chen Immiscible displacement in a channel: simulations of fingering in two dimensions Adv. Water Resour. 27 2004 13 22 (Pubitemid 37525603)
    • (2004) Advances in Water Resources , vol.27 , Issue.1 , pp. 13-22
    • Kang, Q.1    Zhang, D.2    Chen, S.3


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