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Volumn 190, Issue 2, 2003, Pages 371-397

Computation of multiphase systems with phase field models

Author keywords

Cahn Hilliard equation; Interface capturing methods; Model H; Navier Stokes equations; Phase separation; Phase separation under shear flow

Indexed keywords

CONTROL NONLINEARITIES; MICROSTRUCTURE; NUMERICAL METHODS; PHASE SEPARATION; SHEAR FLOW; STABILITY; VISCOSITY; VISCOUS FLOW;

EID: 0141626836     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9991(03)00280-8     Document Type: Article
Times cited : (598)

References (40)
  • 1
    • 33746012315 scopus 로고
    • Free energy of a nonuniform system I
    • J.W. Cahn, J.E. Hilliard, Free energy of a nonuniform system I, J. Chem. Phys. 28 (1958) 258.
    • (1958) J. Chem. Phys. , vol.28 , pp. 258
    • Cahn, J.W.1    Hilliard, J.E.2
  • 2
    • 0013356201 scopus 로고
    • Free energy of a nonuniform system III
    • J.W. Cahn, J.E. Hilliard, Free energy of a nonuniform system III, J. Chem. Phys. 31 (1959) 688.
    • (1959) J. Chem. Phys. , vol.31 , pp. 688
    • Cahn, J.W.1    Hilliard, J.E.2
  • 3
    • 35949034972 scopus 로고
    • Theory of dynamic critical phenomena
    • P.C. Hohenberg, B.I. Halperin, Theory of dynamic critical phenomena, Rev. Mod. Phys. 49 (3) (1977) 435.
    • (1977) Rev. Mod. Phys. , vol.49 , Issue.3 , pp. 435
    • Hohenberg, P.C.1    Halperin, B.I.2
  • 4
    • 0041152882 scopus 로고    scopus 로고
    • Quasi-incompressible Cahn-Hilliard fluids and topological transitions
    • J. Lowengrub, L. Truskinovsky, Quasi-incompressible Cahn-Hilliard fluids and topological transitions, Proc. R. Soc. Lond. A 454 (1998) 2617.
    • (1998) Proc. R. Soc. Lond. A , vol.454 , pp. 2617
    • Lowengrub, J.1    Truskinovsky, L.2
  • 5
    • 9144220381 scopus 로고
    • Compact finite difference schemes with spectral-like resolution
    • S.K. Lele, Compact finite difference schemes with spectral-like resolution, J. Comput. Phys. 103 (1992) 16.
    • (1992) J. Comput. Phys. , vol.103 , pp. 16
    • Lele, S.K.1
  • 6
    • 0000808774 scopus 로고    scopus 로고
    • Mixing of a two-phase fluid by a cavity flow
    • R. Chella, V. Viñals, Mixing of a two-phase fluid by a cavity flow, Phys. Rev. E 53 (1996) 3832.
    • (1996) Phys. Rev. E , vol.53 , pp. 3832
    • Chella, R.1    Viñals, V.2
  • 7
    • 0002521331 scopus 로고    scopus 로고
    • Calculation of two phase Navier Stokes flows using phase-field modeling
    • D. Jacqmin, Calculation of two phase Navier Stokes flows using phase-field modeling, J. Comput. Phys. 115 (1999) 96.
    • (1999) J. Comput. Phys. , vol.115 , pp. 96
    • Jacqmin, D.1
  • 8
    • 0035839235 scopus 로고    scopus 로고
    • Inertial effects in three-dimensional spinodal decomposition of a symmetric binary fluid mixture: A lattice Boltzmann study
    • V.M. Kendon, M.E. Cates, I.P. Barraga, J.-C. Desplat, P. Blandon, Inertial effects in three-dimensional spinodal decomposition of a symmetric binary fluid mixture: a lattice Boltzmann study, J. Fluid Mech. 440 (2001) 147.
    • (2001) J. Fluid Mech. , vol.440 , pp. 147
    • Kendon, V.M.1    Cates, M.E.2    Barraga, I.P.3    Desplat, J.-C.4    Blandon, P.5
  • 9
    • 0043130188 scopus 로고    scopus 로고
    • Spinodal decomposition in binary fluids under shear flow
    • Y. Wu, H. Skrdla, T. Lookman, S. Chen, Spinodal decomposition in binary fluids under shear flow, Physica A 239 (1997) 428-436.
    • (1997) Physica. A , vol.239 , pp. 428-436
    • Wu, Y.1    Skrdla, H.2    Lookman, T.3    Chen, S.4
  • 10
    • 45149136070 scopus 로고
    • Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
    • O. Penrose, P. Fife, Thermodynamically consistent models of phase-field type for the kinetics of phase transitions, Physica D 43 (1990) 44.
    • (1990) Physica. D , vol.43 , pp. 44
    • Penrose, O.1    Fife, P.2
  • 11
    • 0027647619 scopus 로고
    • The dynamics of nucleation for the Cahn-Hilliard equation
    • P.W. Bates, P.C. Fife, The dynamics of nucleation for the Cahn-Hilliard equation, SIAM J. Appl. Math. 53 (1993) 990.
    • (1993) SIAM J. Appl. Math. , vol.53 , pp. 990
    • Bates, P.W.1    Fife, P.C.2
  • 13
    • 0001575645 scopus 로고    scopus 로고
    • Two-phase binary fluids and immiscible fluids described by an order parameter
    • M.E. Gurtin, D. Polignone, J. Viñals, Two-phase binary fluids and immiscible fluids described by an order parameter, Math. Models Meth. Appl. Sci. 6 (6) (1996) 815.
    • (1996) Math. Models Meth. Appl. Sci. , vol.6 , Issue.6 , pp. 815
    • Gurtin, M.E.1    Polignone, D.2    Viñals, J.3
  • 14
    • 0346505865 scopus 로고
    • Theory of phase-ordering kinetics
    • A.J. Bray, Theory of phase-ordering kinetics, Adv. Phys. 43 (3) (1994) 357-459.
    • (1994) Adv. Phys. , vol.43 , Issue.3 , pp. 357-459
    • Bray, A.J.1
  • 15
    • 0002850821 scopus 로고
    • The thermodynamic theory of capillarity flow under the hypothesis of a continuous variation of density
    • (in Dutch)
    • J.D. van der Waals, The thermodynamic theory of capillarity flow under the hypothesis of a continuous variation of density (in Dutch), Verhandel/Konink. Akad. Weten. 1 (1879) 8.
    • (1879) Verhandel/Konink. Akad. Weten. , vol.1 , pp. 8
    • van der Waals, J.D.1
  • 16
    • 0000336444 scopus 로고
    • New computational method in theory of spinodal decomposition
    • J.S. Langer, M. Baron, H. Miller, New computational method in theory of spinodal decomposition, Phys. Rev. A 11 (4) (1975) 1417.
    • (1975) Phys. Rev. A , vol.11 , Issue.4 , pp. 1417
    • Langer, J.S.1    Baron, M.2    Miller, H.3
  • 17
    • 0035949732 scopus 로고    scopus 로고
    • Transition stages of Rayleigh-Taylor instability between miscible fluids
    • A.W. Cook, P.E. Dimotakis, Transition stages of Rayleigh-Taylor instability between miscible fluids, J. Fluid Mech. 443 (2001) 69.
    • (2001) J. Fluid Mech. , vol.443 , pp. 69
    • Cook, A.W.1    Dimotakis, P.E.2
  • 18
    • 0001532060 scopus 로고
    • A hybrid numerical-method for 3-dimensional spatially-developing free shear flows
    • J.C. Buell, A hybrid numerical-method for 3-dimensional spatially-developing free shear flows, J. Comput. Phys. 95 (2) (1991) 313-338.
    • (1991) J. Comput. Phys. , vol.95 , Issue.2 , pp. 313-338
    • Buell, J.C.1
  • 21
    • 0141759471 scopus 로고    scopus 로고
    • A semi-implicit moving mesh method for the focusing Schrödinger equation
    • H.D. Ceniceros, A semi-implicit moving mesh method for the focusing Schrödinger equation, Commun. Pure Appl. Anal. 1 (2002) 1.
    • (2002) Commun. Pure Appl. Anal. , vol.1 , pp. 1
    • Ceniceros, H.D.1
  • 22
    • 0001737039 scopus 로고
    • Implicit-explicit methods for time dependent partial differential equations
    • U.M. Ascher, S.J. Ruuth, B.T.R. Wetton, Implicit-explicit methods for time dependent partial differential equations, SIAM J. Numer. Anal. 32 (1995) 797.
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 797
    • Ascher, U.M.1    Ruuth, S.J.2    Wetton, B.T.R.3
  • 23
    • 85190773103 scopus 로고    scopus 로고
    • An unconditionally stable one-step scheme for gradient systems (preprint)
    • D.J. Eyre, Am unconditionally stable one-step scheme for gradient systems (preprint).
    • Eyre, D.J.1
  • 24
    • 85190787519 scopus 로고    scopus 로고
    • Semi-implicit level set methods for motion by mean curvature and surface diffusion (preprint)
    • P. Smereka, Semi-implicit level set methods for motion by mean curvature and surface diffusion (preprint).
    • Smereka, P.1
  • 25
    • 0000707473 scopus 로고    scopus 로고
    • Coarsening kinetics from a variable-mobility Cahn-Hilliard equation: Application of a semi-implicit Fourier spectral method
    • J. Zhu, L.-Q. Chen, J. Shen, V. Tikare, Coarsening kinetics from a variable-mobility Cahn-Hilliard equation: application of a semi-implicit Fourier spectral method, Phys. Rev. E 60 (4) (1999) 3564-3572.
    • (1999) Phys. Rev. E , vol.60 , Issue.4 , pp. 3564-3572
    • Zhu, J.1    Chen, L.-Q.2    Shen, J.3    Tikare, V.4
  • 26
    • 28144457683 scopus 로고
    • High-order splitting methods for the incompressible Navier-Stokes equations
    • G.E. Karniadakis, M. Israeli, S.A. Orszag, High-order splitting methods for the incompressible Navier-Stokes equations, J. Comput. Phys. 97 (1991) 414-443.
    • (1991) J. Comput. Phys. , vol.97 , pp. 414-443
    • Karniadakis, G.E.1    Israeli, M.2    Orszag, S.A.3
  • 27
    • 28144444111 scopus 로고
    • A level set approach for computing solutions to incompressible two-phase flow
    • M. Sussman, P. Smereka, S. Osher, A level set approach for computing solutions to incompressible two-phase flow, J. Comput. Phys. 114 (1994) 146-159.
    • (1994) J. Comput. Phys. , vol.114 , pp. 146-159
    • Sussman, M.1    Smereka, P.2    Osher, S.3
  • 28
  • 29
    • 0000180414 scopus 로고
    • The formation of emulsions in definable fields of flows
    • G.I. Taylor, The formation of emulsions in definable fields of flows, Proc. R. Soc. Lond. A 146 (1934) 501-523.
    • (1934) Proc. R. Soc. Lond. A , vol.146 , pp. 501-523
    • Taylor, G.I.1
  • 30
    • 0025400703 scopus 로고
    • Low Reynolds number motion of a droplet in shear flow including wall effects
    • M. Shapira, S. Haber, Low Reynolds number motion of a droplet in shear flow including wall effects, Int. J. Multiphase Flow 16 (2) (1990) 305-321.
    • (1990) Int. J. Multiphase Flow , vol.16 , Issue.2 , pp. 305-321
    • Shapira, M.1    Haber, S.2
  • 31
    • 0021122168 scopus 로고
    • The deformation of small viscous drops and bubbles in shear flow
    • J.M. Rallison, The deformation of small viscous drops and bubbles in shear flow, Annu. Rev. Fluid Mech. 16 (1984) 45-66.
    • (1984) Annu. Rev. Fluid Mech. , vol.16 , pp. 45-66
    • Rallison, J.M.1
  • 32
    • 0036253729 scopus 로고    scopus 로고
    • Dynamics and rheology of the morphology of immiscible polymer blends - On modeling and simulation
    • T. Roths, C. Friedrich, M. Marth, J. Honerkamp, Dynamics and rheology of the morphology of immiscible polymer blends - on modeling and simulation, Rheologica Acta 41 (3) (2002) 211-222.
    • (2002) Rheologica Acta , vol.41 , Issue.3 , pp. 211-222
    • Roths, T.1    Friedrich, C.2    Marth, M.3    Honerkamp, J.4
  • 33
    • 0031568182 scopus 로고    scopus 로고
    • A high-order projection method for tracking fluid interfaces in variable density incompressible flows
    • E.G. Puckett, J.B.B.A.S. Almgren, D.L. Marcus, W.J. Rider, A high-order projection method for tracking fluid interfaces in variable density incompressible flows, J. Comput. Phys. 130 (2) (1997) 269-282.
    • (1997) J. Comput. Phys. , vol.130 , Issue.2 , pp. 269-282
    • Puckett, E.G.1    Almgren, J.B.B.A.S.2    Marcus, D.L.3    Rider, W.J.4
  • 34
    • 0025404531 scopus 로고
    • Kinetics of phase decomposition process: Numerical solutions to the Cahn-Hilliard equation
    • M. Copetti, C. Elliot, Kinetics of phase decomposition process: numerical solutions to the Cahn-Hilliard equation, Mater. Sci. Technol. 6 (1990) 273.
    • (1990) Mater. Sci. Technol. , vol.6 , pp. 273
    • Copetti, M.1    Elliot, C.2
  • 35
    • 0001063245 scopus 로고
    • Late-stage coarsening for off-critical quenches: Scaling functions and the growth law
    • A. Chakrabarti, R. Toral, J.D. Gunton, Late-stage coarsening for off-critical quenches: scaling functions and the growth law, Phys. Rev. E 47 (1993) 3025-3038.
    • (1993) Phys. Rev. E , vol.47 , pp. 3025-3038
    • Chakrabarti, A.1    Toral, R.2    Gunton, J.D.3
  • 36
    • 2742543785 scopus 로고    scopus 로고
    • Phase transitions of fluids in shear flow
    • A. Onuki, Phase transitions of fluids in shear flow, J. Phys.: Condes. Matter 9 (1997) 6119.
    • (1997) J. Phys.: Condes. Matter , vol.9 , pp. 6119
    • Onuki, A.1
  • 37
    • 4243457660 scopus 로고    scopus 로고
    • Stability of cylindrical domains in phase-separating binary fluids in shear flow
    • A. Frischknecht, Stability of cylindrical domains in phase-separating binary fluids in shear flow, Phys. Rev. E 58 (3) (1998) 3495-3514.
    • (1998) Phys. Rev. E , vol.58 , Issue.3 , pp. 3495-3514
    • Frischknecht, A.1
  • 38
    • 11944261629 scopus 로고
    • String phase in phase-separating fluids under shear flow
    • T. Hashimoto, K. Matsuzaka, E. Moses, A. Onuki, String phase in phase-separating fluids under shear flow, Phys. Rev. Lett. 74 (1) (1995) 126-129.
    • (1995) Phys. Rev. Lett. , vol.74 , Issue.1 , pp. 126-129
    • Hashimoto, T.1    Matsuzaka, K.2    Moses, E.3    Onuki, A.4
  • 39
    • 0035251645 scopus 로고    scopus 로고
    • String formation in sheared polymer blends: Coalescence, breakup, and finite size effects
    • K.B. Migler, String formation in sheared polymer blends: coalescence, breakup, and finite size effects, Phys. Rev. Lett. 86 (6) (2001) 1023-1026.
    • (2001) Phys. Rev. Lett. , vol.86 , Issue.6 , pp. 1023-1026
    • Migler, K.B.1
  • 40
    • 0031636309 scopus 로고    scopus 로고
    • FFTW: An adaptive software architecture for the fft
    • M. Frigo, S.G. Johnson, FFTW: an adaptive software architecture for the fft, ICASSP Conf. Proc. 3 (1998) 1381-1384.
    • (1998) ICASSP Conf. Proc. , vol.3 , pp. 1381-1384
    • Frigo, M.1    Johnson, S.G.2


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