메뉴 건너뛰기




Volumn 17, Issue 6, 2005, Pages 1-22

Viscous coupling based lattice Boltzmann model for binary mixtures

Author keywords

[No Author keywords available]

Indexed keywords

BINARY MIXTURES; DIFFUSION; MATHEMATICAL MODELS; STRESS ANALYSIS; TENSORS;

EID: 21244431571     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1927567     Document Type: Article
Times cited : (42)

References (53)
  • 5
    • 25744459324 scopus 로고
    • "Use of the Boltzmann equation to simulate lattice-gas automata"
    • PRLTAO 0031-9007 10.1103/PhysRevLett
    • G. R. McNamara and G. Zanetti, "Use of the Boltzmann equation to simulate lattice-gas automata," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.61.2332 61, 2332 (1988).
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 2332
    • McNamara, G.R.1    Zanetti, G.2
  • 6
    • 84956111432 scopus 로고
    • "Lattice BGK models for Navier-Stokes equation"
    • EULEEJ 0295-5075
    • Y. H. Qian, D. D'Humieres, and P. Lallemand, "Lattice BGK models for Navier-Stokes equation," Europhys. Lett.EULEEJ0295-5075 17, 479 (1992).
    • (1992) Europhys. Lett. , vol.17 , pp. 479
    • Qian, Y.H.1    D'Humieres, D.2    Lallemand, P.3
  • 7
    • 4243825742 scopus 로고    scopus 로고
    • "Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation"
    • PLEEE8 1063-651X 10.1103/PhysRevE
    • X. He and L.-S. Luo, "Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.56.6811 56, 6811 (1997).
    • (1997) Phys. Rev. E , vol.56 , pp. 6811
    • He, X.1    Luo, L.-S.2
  • 8
    • 0009014344 scopus 로고    scopus 로고
    • Lattice-Gas Cellular Automata and Lattice Boltzmann Models (Springer-Verlag, Berlin)
    • D. Wolf-Gladrow, Lattice-Gas Cellular Automata and Lattice Boltzmann Models, Lecture Notes in Mathematics Vol. 1725 (Springer-Verlag, Berlin, 2000).
    • (2000) Lecture Notes in Mathematics , vol.1725
    • Wolf-Gladrow, D.1
  • 11
    • 1542471855 scopus 로고    scopus 로고
    • "Lattice Boltzmann method for fluid flow"
    • ARVFA3 0066-4189 10.1146/annurev.fluid..1
    • S. Chen and G. D. Doolen, "Lattice Boltzmann method for fluid flow," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/ annurev.fluid.30.1.329 30, 329 (1998).
    • (1998) Annu. Rev. Fluid Mech. , vol.30 , pp. 329
    • Chen, S.1    Doolen, G.D.2
  • 12
    • 0033200283 scopus 로고    scopus 로고
    • "Flow and dispersion in porous media: Lattice-Boltzmann and NMR studies"
    • AICEAC 0001-1541 10.1002/aic.6900902
    • B. Manz, L. F. Gladden, and P. B. Warren, "Flow and dispersion in porous media: Lattice-Boltzmann and NMR studies," AIChE J.AICEAC0001-154110.1002/aic.690450902 45, 1845 (1999).
    • (1999) AIChE J. , vol.45 , pp. 18
    • Manz, B.1    Gladden, L.F.2    Warren, P.B.3
  • 13
    • 0035911698 scopus 로고    scopus 로고
    • "CDF-calculation of flow, dispersion and reaction in a catalyst filled tube by the lattice Boltzmann method"
    • CESCAC 0009-2509
    • Th. Zeiser, P. Lammers, E. Klemm, Y. W. Li, J. Bernsdorf, and G. Brenner, "CDF-calculation of flow, dispersion and reaction in a catalyst filled tube by the lattice Boltzmann method," Chem. Eng. Sci.CESCAC0009-2509 56, 1697 (2001).
    • (2001) Chem. Eng. Sci. , vol.56 , pp. 1697
    • Zeiser, Th.1    Lammers, P.2    Klemm, E.3    Li, Y.W.4    Bernsdorf, J.5    Brenner, G.6
  • 14
    • 24844466239 scopus 로고
    • "Lattice Boltzmann model for simulating flows with multiple phases and components"
    • PLEEE8 1063-651X 10.1103/PhysRevE
    • X. Shan and H. Chen, "Lattice Boltzmann model for simulating flows with multiple phases and components," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.47.1815 47, 1815 (1993).
    • (1993) Phys. Rev. E , vol.47 , pp. 1815
    • Shan, X.1    Chen, H.2
  • 15
    • 21244462597 scopus 로고
    • "Lattice Bhatnagar-Gross-Krook models for miscible fluids"
    • PLEEE8 1063-651X 10.1103/PhysRev
    • E. G. Flekkoy, "Lattice Bhatnagar-Gross-Krook models for miscible fluids," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.47.4247 47, 4247 (1993).
    • (1993) Phys. Rev. E , vol.47 , pp. 42
    • Flekkoy, E.G.1
  • 16
    • 21844513027 scopus 로고
    • "Multicomponent lattice-Boltzmann model with interparticle interaction"
    • JSTPBS 0022-4715
    • X. Shan and G. Doolen, "Multicomponent lattice-Boltzmann model with interparticle interaction," J. Stat. Phys.JSTPBS0022-4715 81, 379 (1995).
    • (1995) J. Stat. Phys. , vol.81 , pp. 379
    • Shan, X.1    Doolen, G.2
  • 17
    • 4243826396 scopus 로고    scopus 로고
    • "Diffusion in a multicomponent lattice Boltzmann equation model"
    • PLEEE8 1063-651X 10.1103/PhysRevE
    • X. Shan and G. Doolen, "Diffusion in a multicomponent lattice Boltzmann equation model," Phys. Rev. EPLEEE81063-651X10.1103/ PhysRevE.54.3614 54, 3614 (1996).
    • (1996) Phys. Rev. E , vol.54 , pp. 3614
    • Shan, X.1    Doolen, G.2
  • 18
    • 84956251338 scopus 로고
    • "A lattice Boltzmann model of binary-fluid mixtures"
    • EULEEJ 0295-5075
    • E. Orlandini, W. R. Osborn, and J. M. Yeomans, "A lattice Boltzmann model of binary-fluid mixtures," Europhys. Lett.EULEEJ0295-5075 32, 463 (1995).
    • (1995) Europhys. Lett. , vol.32 , pp. 463
    • Orlandini, E.1    Osborn, W.R.2    Yeomans, J.M.3
  • 19
    • 0001235822 scopus 로고
    • "Lattice Boltzmann study of hydrodynamic spinodal decomposition"
    • PRLTAO 0031-9007 10.1103/PhysRevLett
    • W. R. Osborn, E. Orlandini, M. R. Swift, J. M. Yeomans, and J. R. Banavar, "Lattice Boltzmann study of hydrodynamic spinodal decomposition," Phys. Rev. Lett.PRLTAO0031-900710.1103/ PhysRevLett.75.4031 75, 4031 (1995).
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 4031
    • Osborn, W.R.1    Orlandini, E.2    Swift, M.R.3    Yeomans, J.M.4    Banavar, J.R.5
  • 20
    • 4644301820 scopus 로고    scopus 로고
    • "Lattice Boltzmann simulations of liquid-gas and binary fluid systems"
    • PLEEE8 1063-651X 10.1103/PhysRev
    • M. R. Swift, E. Orlandini, W. R. Osborn, and J. M. Yeomans, "Lattice Boltzmann simulations of liquid-gas and binary fluid systems," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.54.5041 54, 5041 (1996).
    • (1996) Phys. Rev. E , vol.54 , pp. 5041
    • Swift, M.R.1    Orlandini, E.2    Osborn, W.R.3    Yeomans, J.M.4
  • 21
    • 0033068235 scopus 로고    scopus 로고
    • "A lattice-Boltzmann model of ternary-fluid mixtures"
    • EULEEJ 0295-5075 10.1209/epl/i-00165-4
    • A. Lamura, G. Gonnella, and J. M. Yeomans, "A lattice-Boltzmann model of ternary-fluid mixtures," Europhys. Lett.EULEEJ0295-507510.1209/epl/i1999-00165-4 45, 314 (1999).
    • (1999) Europhys. Lett. , vol.45 , pp. 314
    • Lamura, A.1    Gonnella, G.2    Yeomans, J.M.3
  • 22
    • 0035887583 scopus 로고    scopus 로고
    • "BGK models for diffusion in isothermal binary fluid systems"
    • PHYADX 0378-4371 10.1016/S0378-4371(01)00246-1
    • V. Sofonea and R. F. Sekerka, "BGK models for diffusion in isothermal binary fluid systems," Physica APHYADX0378-437110.1016/ S0378-4371(01)00246-1 299, 494 (2001).
    • (2001) Physica A , vol.299 , pp. 494
    • Sofonea, V.1    Sekerka, R.F.2
  • 23
    • 0242495249 scopus 로고    scopus 로고
    • "Discrete velocity and lattice Boltzmann models for binary mixtures of nonideal fluids"
    • PLEEE8 1063-651X 10.1103/PhysRevE
    • Z. Guo and T. S. Zhao, "Discrete velocity and lattice Boltzmann models for binary mixtures of nonideal fluids," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.68.035302 68, 035302 (2003).
    • (2003) Phys. Rev. E , vol.68 , pp. 035302
    • Guo, Z.1    Zhao, T.S.2
  • 24
    • 41349113515 scopus 로고    scopus 로고
    • "Lattice Boltzmann model for binary mixtures"
    • PLEEE8 1063-651X 10.1103/PhysRevE. (R)
    • L.-S. Luo and S. S. Girimaji, "Lattice Boltzmann model for binary mixtures," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.66.035301 66, 035301(R) (2002).
    • (2002) Phys. Rev. E , vol.66 , pp. 035301
    • Luo, L.-S.1    Girimaji, S.S.2
  • 25
    • 85037212986 scopus 로고    scopus 로고
    • "Theory of the lattice Boltzmann method: Two-fluid model for binary mixtures"
    • PLEEE8 1063-651X 10.1103/PhysRevE
    • L.-S. Luo and S. S. Girimaji, "Theory of the lattice Boltzmann method: Two-fluid model for binary mixtures," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.67.036302 67, 036302 (2003).
    • (2003) Phys. Rev. E , vol.67 , pp. 036302
    • Luo, L.-S.1    Girimaji, S.S.2
  • 26
    • 21244432195 scopus 로고    scopus 로고
    • "Finite-difference lattice Boltzmann methods for binary fluids"
    • eprint arXiv: cond-mat/0406012 www.arxiv.org
    • A. Xu, "Finite-difference lattice Boltzmann methods for binary fluids," eprint arXiv:cond-mat/0406012, www.arxiv.org
    • Xu, A.1
  • 28
    • 0031161689 scopus 로고    scopus 로고
    • "BGK-based scheme for multicomponent flow calculations"
    • JCTPAH 0021-9991 10.1006/jcph..5677
    • K. Xu, "BGK-based scheme for multicomponent flow calculations," J. Comput. Phys.JCTPAH0021-999110.1006/ jcph.1997.5677 134, 122 (1997).
    • (1997) J. Comput. Phys. , vol.134 , pp. 122
    • Xu, K.1
  • 29
    • 0008072575 scopus 로고    scopus 로고
    • "A gas-kinetic scheme for multimaterial flows and its application in chemical reactions"
    • JCTPAH 0021-9991 10.1006/jcph..6571
    • Y. S. Lian and K. Xu, "A gas-kinetic scheme for multimaterial flows and its application in chemical reactions," J. Comput. Phys.JCTPAH0021-999110.1006/jcph.2000.6571 163, 349 (2000).
    • (2000) J. Comput. Phys. , vol.163 , pp. 349
    • Lian, Y.S.1    Xu, K.2
  • 32
    • 11544343875 scopus 로고    scopus 로고
    • "Discrete Boltzmann equation model for nonideal gases"
    • PLEEE8 1063-651X 10.1103/PhysRevE
    • X. He, X. Shan, and G. D. Doolen, "Discrete Boltzmann equation model for nonideal gases," Phys. Rev. EPLEEE81063-651X10.1103/ PhysRevE.57.R13 57, R13 (1998).
    • (1998) Phys. Rev. E , vol.57
    • He, X.1    Shan, X.2    Doolen, G.D.3
  • 33
    • 25344468527 scopus 로고
    • "Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method"
    • PLRAAN 1050-2947 10.1103/PhysRevA
    • H. Chen, S. Chen, and W. H. Matthaeus, "Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method," Phys. Rev. APLRAAN1050-294710.1103/PhysRevA.45.R5339 45, R5339 (1992).
    • (1992) Phys. Rev. A , vol.45
    • Chen, H.1    Chen, S.2    Matthaeus, W.H.3
  • 34
    • 0001445882 scopus 로고    scopus 로고
    • "Derivation of the lattice Boltzmann method by means of the discrete ordinate method for the Boltzmann equation"
    • JCTPAH 0021-9991 10.1006/jcph.1996.5595
    • T. Abe, "Derivation of the lattice Boltzmann method by means of the discrete ordinate method for the Boltzmann equation," J. Comput. Phys.JCTPAH0021-999110.1006/jcph.1996.5595 131, 241 (1997).
    • (1997) J. Comput. Phys. , vol.131 , pp. 241
    • Abe, T.1
  • 35
    • 0002945795 scopus 로고    scopus 로고
    • "Discretization of the velocity space in the solution of the Boltzmann equation"
    • PRLTAO 0031-9007 10.1103/PhysRevLett
    • X. Shan and X. He, "Discretization of the velocity space in the solution of the Boltzmann equation," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.80.65 80, 65 (1998).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 65
    • Shan, X.1    He, X.2
  • 36
    • 3242697430 scopus 로고
    • "On the application of the Boltzmann equations to the theory of gas mixtures"
    • Ph.D. dissertation, New York University
    • I. Kolodner, "On the application of the Boltzmann equations to the theory of gas mixtures," Ph.D. dissertation, New York University, 1950.
    • (1950)
    • Kolodner, I.1
  • 37
    • 26344468007 scopus 로고
    • "A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems"
    • PHRVAO 0031-899X 10.1103/PhysRev
    • P. L. Bhatnagar, E. P. Gross, and M. Krook, "A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems," Phys. Rev.PHRVAO0031-899X10.1103/ PhysRev.94.511 94, 511 (1954).
    • (1954) Phys. Rev. , vol.94 , pp. 511
    • Bhatnagar, P.L.1    Gross, E.P.2    Krook, M.3
  • 38
    • 0001195280 scopus 로고
    • "Model for collision processes in gases: Small-amplitude oscillations of charged two-component systems"
    • PHRVAO 0031-899X 10.1103/PhysRev
    • E. P. Gross and M. Krook, "Model for collision processes in gases: Small-amplitude oscillations of charged two-component systems," Phys. Rev.PHRVAO0031-899X10.1103/PhysRev.102.593 102, 593 (1956).
    • (1956) Phys. Rev. , vol.102 , pp. 593
    • Gross, E.P.1    Krook, M.2
  • 39
    • 0001459389 scopus 로고
    • "Kinetic modelling of gas mixtures"
    • PFLDAS 0031-9171 10.1063/1.1706706
    • L. Sirovich, "Kinetic modelling of gas mixtures," Phys. FluidsPFLDAS0031-917110.1063/1.1706706 5, 908 (1962).
    • (1962) Phys. Fluids , vol.5 , pp. 908
    • Sirovich, L.1
  • 40
    • 21244491405 scopus 로고
    • "Equations for gas mixtures"
    • PFLDAS 0031-9171
    • E. Goldman and L. Sirovich, "Equations for gas mixtures," Phys. FluidsPFLDAS0031-9171 10, 908 (1967).
    • (1967) Phys. Fluids , vol.10 , pp. 908
    • Goldman, E.1    Sirovich, L.2
  • 41
    • 0001392590 scopus 로고
    • "Kinetic model equations for a gas mixture"
    • PFLDAS 0031-911 10.1063/1.111112
    • T. F. Morse, "Kinetic model equations for a gas mixture," Phys. FluidsPFLDAS0031-917110.1063/1.1711112 7, 2012 (1964).
    • (1964) Phys. Fluids , vol.7 , pp. 2012
    • Morse, T.F.1
  • 42
    • 21244454295 scopus 로고
    • "Boltzmann equations for binary gas mixtures"
    • Ph.D. dissertation, Princeton University
    • B. B. Hamel, "Boltzmann equations for binary gas mixtures," Ph.D. dissertation, Princeton University, 1963.
    • (1963)
    • Hamel, B.B.1
  • 43
    • 36849127313 scopus 로고
    • "Kinetic model of binary mixtures"
    • PFLDAS 0031-9171 10.1063/1.1761239
    • B. B. Hamel, "Kinetic model of binary mixtures," Phys. FluidsPFLDAS0031-917110.1063/1.1761239 8, 418 (1965).
    • (1965) Phys. Fluids , vol.8 , pp. 41
    • Hamel, B.B.1
  • 44
    • 36849112318 scopus 로고
    • "Kinetic model for binary gas mixtures"
    • PFLDAS 0031-171 10.1063/1.86484
    • B. B. Hamel, "Kinetic model for binary gas mixtures," Phys. FluidsPFLDAS0031-917110.1063/1.869484 9, 12 (1966).
    • (1966) Phys. Fluids , vol.9 , pp. 12
    • Hamel, B.B.1
  • 45
    • 0001390981 scopus 로고
    • "Construction of linearized kinetic models for gaseous mixtures and molecular gases"
    • PFLDAS 0031-9171 10.1063/1.94272
    • F. J. McCormack, "Construction of linearized kinetic models for gaseous mixtures and molecular gases," Phys. FluidsPFLDAS0031-917110.1063/1.1694272 16, 2095 (1973).
    • (1973) Phys. Fluids , vol.16 , pp. 2095
    • McCormack, F.J.1
  • 46
    • 36549103933 scopus 로고
    • "A kinetic model for a multicomponent gas"
    • PFADEB 0899-823 0.063/.857458
    • V. Garzó, A. Santos, and J. J. Brey, "A kinetic model for a multicomponent gas," Phys. Fluids APFADEB0899-821310.1063/1.857458 1, 380 (1989).
    • (1989) Phys. Fluids A , vol.1 , pp. 380
    • Garzó, V.1    Santos, A.2    Brey, J.J.3
  • 47
    • 0036117201 scopus 로고    scopus 로고
    • "A consistent BGK-type model for gas mixtures"
    • JSTPBS 0022-4715 10.1023/A:1014033703134
    • P. Andries, K. Aoki, and B. Perthame, "A consistent BGK-type model for gas mixtures," J. Stat. Phys.JSTPBS0022-471510.1023/ A:1014033703134 106, 993 (2002).
    • (2002) J. Stat. Phys. , vol.106 , pp. 993
    • Andries, P.1    Aoki, K.2    Perthame, B.3
  • 49
    • 85035252383 scopus 로고    scopus 로고
    • "Discrete lattice effects on the forcing term in the lattice Boltzmann method"
    • PLEEE8 1063-1X 10.1103/PhysRevE
    • Z. Guo, C. Zheng, and B. Shi, "Discrete lattice effects on the forcing term in the lattice Boltzmann method," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.65.046308 65, 046308 (2002).
    • (2002) Phys. Rev. E , vol.65 , pp. 046308
    • Guo, Z.1    Zheng, C.2    Shi, B.3
  • 50
    • 0001133794 scopus 로고
    • "Boundary flow condition analysis for the three-dimensional lattice Boltzmann model"
    • JPAHER 1155-312 10.1051/jp2:123
    • I. Ginzbourg and P. M. Adler, "Boundary flow condition analysis for the three-dimensional lattice Boltzmann model," J. Phys. IIJPAHER1155-431210.1051/jp2:1994123 4, 191 (1994).
    • (1994) J. Phys. II , vol.4 , pp. 191
    • Ginzbourg, I.1    Adler, P.M.2
  • 51
    • 0034206379 scopus 로고    scopus 로고
    • "Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability"
    • PLEEE8 1063-651X 10.1103/PhysRevE
    • P. Lallemand and L.-S. Luo, "Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.61.6546 61, 6546 (2000).
    • (2000) Phys. Rev. E , vol.61 , pp. 6546
    • Lallemand, P.1    Luo, L.-S.2
  • 52
    • 0001681816 scopus 로고
    • "Generalized lattice Boltzmann equations"
    • PAAEA9 0079-6050
    • D. dHumiéres, "Generalized lattice Boltzmann equations," Prog. Astronaut. Aeronaut.PAAEA90079-6050 159, 450 (1992).
    • (1992) Prog. Astronaut. Aeronaut. , vol.159 , pp. 450
    • dHumiéres, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.