메뉴 건너뛰기




Volumn 152, Issue 2, 1999, Pages 642-663

A Lattice Boltzmann Scheme for Incompressible Multiphase Flow and Its Application in Simulation of Rayleigh-Taylor Instability

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN EQUATION; DISTRIBUTION FUNCTIONS; INCOMPRESSIBLE FLOW; MOLECULAR ORIENTATION; MOLECULAR STRUCTURE; RAYLEIGH SCATTERING; SURFACE SEGREGATION; X RAY MICROSCOPES; X RAY SCATTERING;

EID: 0347963841     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1999.6257     Document Type: Article
Times cited : (1104)

References (38)
  • 1
    • 35949016104 scopus 로고
    • Lattice-gas automata for the Navier-Stokes equations
    • U. Frisch, B. Hasslacher, and Y. Pomeau, Lattice-gas automata for the Navier-Stokes equations, Phys. Rev. Lett. 56, 1505 (1986).
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 1505
    • Frisch, U.1    Hasslacher, B.2    Pomeau, Y.3
  • 2
    • 12044257626 scopus 로고
    • Lattice-gas models of phase separation: Interface, phase transitions and multiphase flow
    • D. H. Rothman and S. Zaleski, Lattice-gas models of phase separation: Interface, phase transitions and multiphase flow, Rev. Mod. Phys. 66, 1417 (1994).
    • (1994) Rev. Mod. Phys. , vol.66 , pp. 1417
    • Rothman, D.H.1    Zaleski, S.2
  • 3
    • 1542471855 scopus 로고    scopus 로고
    • Lattice Boltzmann method for fluid flows
    • S. Chen and G. D. Doolen, Lattice Boltzmann method for fluid flows, Annu. Rev. Fluid Mech. 30, 329 (1998).
    • (1998) Annu. Rev. Fluid Mech. , vol.30 , pp. 329
    • Chen, S.1    Doolen, G.D.2
  • 5
    • 34250089909 scopus 로고
    • Immiscible cellular-automaton fluids
    • D. H. Rothman and J. M. Keller, Immiscible cellular-automaton fluids, J. Stat. Phys. 52, 1119 (1988).
    • (1988) J. Stat. Phys. , vol.52 , pp. 1119
    • Rothman, D.H.1    Keller, J.M.2
  • 6
    • 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, 2557 (1993).
    • (1993) Phys. Fluids A , vol.5 , pp. 2557
    • Grunau, D.1    Chen, S.2    Eggert, K.3
  • 7
    • 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, 1815 (1993).
    • (1993) Phys. Rev. E , vol.47 , pp. 1815
    • Shan, X.1    Chen, H.2
  • 8
    • 11744361965 scopus 로고
    • Lattice Boltzmann simulation of non-ideal fluids
    • M. R. Swift, W. R. Osborn, and J. M. Yeomans, Lattice Boltzmann simulation of non-ideal fluids, Phys. Rev. Lett. 75, 830 (1995).
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 830
    • Swift, M.R.1    Osborn, W.R.2    Yeomans, J.M.3
  • 9
    • 11544343875 scopus 로고    scopus 로고
    • A discrete Boltzmann equation model for non-ideal gases
    • X. He, X. Shan, and G. D. Doolen, A discrete Boltzmann equation model for non-ideal gases, Phys. Rev. E 57, R13 (1998).
    • (1998) Phys. Rev. E , vol.57
    • He, X.1    Shan, X.2    Doolen, G.D.3
  • 10
    • 33645077774 scopus 로고
    • Simulation of non-ideal gases and liquid-gas phase transitions by the lattice Boltzmann equation
    • X. Shan and H. Chen, Simulation of non-ideal gases and liquid-gas phase transitions by the lattice Boltzmann equation, Phys. Rev. E 49, 2941 (1994).
    • (1994) Phys. Rev. E , vol.49 , pp. 2941
    • Shan, X.1    Chen, H.2
  • 11
    • 0000089158 scopus 로고
    • Hydrodynamic spinodal decomposition: Growth kinetics and scaling functions
    • F. J. Alexander, S. Chen, and D. W. Grunau, Hydrodynamic spinodal decomposition: Growth kinetics and scaling functions, Phys. Rev. B 48, 634 (1993).
    • (1993) Phys. Rev. B , vol.48 , pp. 634
    • Alexander, F.J.1    Chen, S.2    Grunau, D.W.3
  • 12
    • 0001235822 scopus 로고
    • Lattice Boltzmann study of hydrodynamic spinodal decomposition
    • W. R. Osborn, E. Orlandini, M. R. Swift, et al., Lattice Boltzmann study of hydrodynamic spinodal decomposition, Phys. Rev. Lett. 75, 4031 (1995).
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 4031
    • Osborn, W.R.1    Orlandini, E.2    Swift, M.R.3
  • 13
    • 1842650686 scopus 로고    scopus 로고
    • Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method
    • N. S. Martys and H. Chen, Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method, Phys. Rev. E 53, 743 (1996).
    • (1996) Phys. Rev. E , vol.53 , pp. 743
    • Martys, N.S.1    Chen, H.2
  • 14
    • 26344468007 scopus 로고
    • A model for collision process in gases. I. Small amplitude processes in charged and neutral one-component system
    • P. L. Bhatnagar, E. P. Gross, and M. Krook, A model for collision process in gases. I. Small amplitude processes in charged and neutral one-component system, Phys. Rev. 94, 511 (1954).
    • (1954) Phys. Rev. , vol.94 , pp. 511
    • Bhatnagar, P.L.1    Gross, E.P.2    Krook, M.3
  • 17
    • 0001117617 scopus 로고
    • Equation of state for nonattracting rigid spheres
    • N. F. Carnahan and K. E. Starling, Equation of state for nonattracting rigid spheres, J. Chem. Phys. 51, 635 (1969)
    • (1969) J. Chem. Phys. , vol.51 , pp. 635
    • Carnahan, N.F.1    Starling, K.E.2
  • 18
    • 0018446914 scopus 로고
    • The nature of the liquid-vapor interface and other topics in the statistical mechanics of non-uniform, classical fluids
    • R. Evans, The nature of the liquid-vapor interface and other topics in the statistical mechanics of non-uniform, classical fluids, Adv. in Phys. 28, 143 (1979).
    • (1979) Adv. in Phys. , vol.28 , pp. 143
    • Evans, R.1
  • 19
    • 0019367877 scopus 로고
    • Volume of fluids (VOF) method for the dynamics of free boundaries
    • C. W. Hirt and B. D.Nichols, Volume of fluids (VOF) method for the dynamics of free boundaries, J. Comput. Phys. 39, 201 (1981).
    • (1981) J. Comput. Phys. , vol.39 , pp. 201
    • Hirt, C.W.1    D.nichols, B.2
  • 20
    • 44749084234 scopus 로고
    • Front propagating with curvature-dependent speed: Algorithm based on Hamilton-Jacobi formulations
    • S. Osher and J. A. Sethian, Front propagating with curvature-dependent speed: Algorithm based on Hamilton-Jacobi formulations, J. Comput. Phys. 79, 12 (1988).
    • (1988) J. Comput. Phys. , vol.79 , pp. 12
    • Osher, S.1    Sethian, J.A.2
  • 21
    • 0028140714 scopus 로고
    • Effect of local property smearing on global variables: Implication for numerical simulations of multiphase flows
    • H. Haj-Hariri, Q. Shi, and A. Borhan, Effect of local property smearing on global variables: Implication for numerical simulations of multiphase flows, Phys. Fluids 6, 2556 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 2556
    • Haj-Hariri, H.1    Shi, Q.2    Borhan, A.3
  • 22
    • 0031206171 scopus 로고    scopus 로고
    • Lattice Boltzmann model for the incompressible Navier-Stokes equation
    • X. He and L. Luo, Lattice Boltzmann model for the incompressible Navier-Stokes equation, J. Stat. Phys. 88, 927 (1997).
    • (1997) J. Stat. Phys. , vol.88 , pp. 927
    • He, X.1    Luo, L.2
  • 23
    • 40449093496 scopus 로고
    • A numerical method for solving incompressible viscous flow problems
    • A. J. Chorin, A numerical method for solving incompressible viscous flow problems, J. Comput. Phys. 2, 12 (1967).
    • (1967) J. Comput. Phys. , vol.2 , pp. 12
    • Chorin, A.J.1
  • 24
    • 0001207344 scopus 로고    scopus 로고
    • A priori derivation of the lattice Boltzmann equation
    • X. He and L. Luo, A priori derivation of the lattice Boltzmann equation, Phys. Rev. E 55, R6333 (1997).
    • (1997) Phys. Rev. E , vol.55
    • He, X.1    Luo, L.2
  • 25
    • 4243825742 scopus 로고    scopus 로고
    • On the theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
    • X. He and L. Luo, On the theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation, Phys. Rev. E 56, 6811 (1997).
    • (1997) Phys. Rev. E , vol.56 , pp. 6811
    • He, X.1    Luo, L.2
  • 26
    • 0001445882 scopus 로고    scopus 로고
    • Derivation of the lattice Boltzmann method by means of the discrete ordinale method for the Boltzmann equation
    • T. Abe, Derivation of the lattice Boltzmann method by means of the discrete ordinale method for the Boltzmann equation, J. Comput. Phys. 131, 241 (1997).
    • (1997) J. Comput. Phys. , vol.131 , pp. 241
    • Abe, T.1
  • 27
    • 0020778068 scopus 로고
    • An overview of Rayleigh-Taylor instability
    • D. H. Sharp, An overview of Rayleigh-Taylor instability, Physica D 12, 3 (1984).
    • (1984) Physica D , vol.12 , pp. 3
    • Sharp, D.H.1
  • 28
    • 0002418219 scopus 로고
    • The instability of liquid surfaces when accelerated in a direction perpendicular to their planes, I
    • G. I. Taylor, The instability of liquid surfaces when accelerated in a direction perpendicular to their planes, I, Proc. R. Soc. London A 201, 192 (1950).
    • (1950) Proc. R. Soc. London A , vol.201 , pp. 192
    • Taylor, G.I.1
  • 29
    • 20844457845 scopus 로고
    • The character of the equilibrium of an incompressible heavy viscous fluid of variable density
    • S. Chandrasekhar, The character of the equilibrium of an incompressible heavy viscous fluid of variable density, Proc. Camb. Phil. Soc. 51, 162 (1955).
    • (1955) Proc. Camb. Phil. Soc. , vol.51 , pp. 162
    • Chandrasekhar, S.1
  • 30
    • 36849113769 scopus 로고
    • Numerical study of two fluid Rayleigh-Taylor instabilities
    • B. J. Daly, Numerical study of two fluid Rayleigh-Taylor instabilities, Phys. Fluids 10, 297 (1967).
    • (1967) Phys. Fluids , vol.10 , pp. 297
    • Daly, B.J.1
  • 31
    • 0020779030 scopus 로고
    • Numerical simulation of turbulent mixing by Rayleigh-Taylor instability
    • D. L. Youngs, Numerical simulation of turbulent mixing by Rayleigh-Taylor instability, Physica D 12, 32 (1984).
    • (1984) Physica D , vol.12 , pp. 32
    • Youngs, D.L.1
  • 33
    • 0000635210 scopus 로고
    • Numerical simulation of the Rayleigh-Taylor instability
    • G. Tryggvason, Numerical simulation of the Rayleigh-Taylor instability, J. Comput. Phys. 75, 253 (1988).
    • (1988) J. Comput. Phys. , vol.75 , pp. 253
    • Tryggvason, G.1
  • 34
    • 0000930479 scopus 로고
    • Computing interface motion in compressible gas dynamics
    • W. Mulder, S. Osher, and J. A. Sethian, Computing interface motion in compressible gas dynamics, J. Comput. Phys. 100, 449 (1992).
    • (1992) J. Comput. Phys. , vol.100 , pp. 449
    • Mulder, W.1    Osher, S.2    Sethian, J.A.3
  • 35
    • 0019933212 scopus 로고
    • Analytic structure of vortex sheet dynamics. I. Kelvin-Helmholtz instability
    • D. I. Meiron, G. R. Baker, and S. A. Orszag, Analytic structure of vortex sheet dynamics. I. Kelvin-Helmholtz instability, J. Fluid Mech. 114, 283 (1982).
    • (1982) J. Fluid Mech. , vol.114 , pp. 283
    • Meiron, D.I.1    Baker, G.R.2    Orszag, S.A.3
  • 36
    • 0001158960 scopus 로고    scopus 로고
    • Lattice Boltzmann simulation of the two-dimensional Rayleigh-Taylor instability
    • X. Nie, Y. Qian, S. Chen, and G. D. Doolen, Lattice Boltzmann simulation of the two-dimensional Rayleigh-Taylor instability, Phys. Rev. E 58, 6861 (1998).
    • (1998) Phys. Rev. E , vol.58 , pp. 6861
    • Nie, X.1    Qian, Y.2    Chen, S.3    Doolen, G.D.4
  • 37
    • 0020779216 scopus 로고
    • Experimental investigation on turbulent mixing by Rayleigh-Taylor instability
    • K. I. Read, Experimental investigation on turbulent mixing by Rayleigh-Taylor instability, Physica D 12, 45 (1984).
    • (1984) Physica D , vol.12 , pp. 45
    • Read, K.I.1
  • 38
    • 0024705601 scopus 로고
    • Modelling turbulent mixing by Rayleigh-Taylor instability
    • D. L. Youngs, Modelling turbulent mixing by Rayleigh-Taylor instability, Physica D 37, 270 (1989).
    • (1989) Physica D , vol.37 , pp. 270
    • Youngs, D.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.