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Volumn 247-248, Issue , 2012, Pages 179-200

On imposing dynamic contact-angle boundary conditions for wall-bounded liquid-gas flows

Author keywords

Contact angle; Contact line; Large density ratio; Phase field approach; Two phase flow

Indexed keywords

CAHN-HILLIARD EQUATION; COEFFICIENT MATRIX; CONTACT LINES; COUPLED SYSTEMS; DISCRETIZATIONS; DYNAMIC CONTACT ANGLE; FLOW VARIABLE; HELMHOLTZ-TYPE EQUATIONS; INCOMPRESSIBLE FLUID; LARGE DENSITY RATIO; LINEAR ALGEBRAIC SYSTEMS; MOVING CONTACT LINES; NAVIER STOKES; PHASE FIELDS; PHASE-FIELD APPROACHES; PRE-PROCESSING; STATIC CONTACT ANGLE; TWO-COMPONENT; VARIABLE DENSITY; VARIABLE VISCOSITY; WALL BOUNDED FLOWS;

EID: 84866276911     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2012.07.023     Document Type: Article
Times cited : (81)

References (44)
  • 1
    • 67349270892 scopus 로고    scopus 로고
    • A mesh-dependent model for applying dynamic contact angles to VOF simulations
    • Afkhami S., Zaleski S., Bussmann M. A mesh-dependent model for applying dynamic contact angles to VOF simulations. J. Comput. Phys. 2009, 228:5370-5389.
    • (2009) J. Comput. Phys. , vol.228 , pp. 5370-5389
    • Afkhami, S.1    Zaleski, S.2    Bussmann, M.3
  • 2
    • 0141626836 scopus 로고    scopus 로고
    • Computation of multiphase systems with phase field models
    • Badalassi V.E., Ceniceros H.D., Banerjee S. Computation of multiphase systems with phase field models. J. Comput. Phys. 2003, 190:371-397.
    • (2003) J. Comput. Phys. , vol.190 , pp. 371-397
    • Badalassi, V.E.1    Ceniceros, H.D.2    Banerjee, S.3
  • 4
    • 84867661713 scopus 로고    scopus 로고
    • Modeling of dynamic wetting far from equilibrium
    • Carlson A., Do-Quang M., Amberg G. Modeling of dynamic wetting far from equilibrium. Phys. Fluids 2011, 21:121701.
    • (2011) Phys. Fluids , vol.21 , pp. 121701
    • Carlson, A.1    Do-Quang, M.2    Amberg, G.3
  • 5
    • 0022754063 scopus 로고
    • The dynamics of the spreading of liquids on a solid surface. part i. viscous flow
    • Cox R.G. The dynamics of the spreading of liquids on a solid surface. part i. viscous flow. J. Fluid Mech. 1986, 168:169-194.
    • (1986) J. Fluid Mech. , vol.168 , pp. 169-194
    • Cox, R.G.1
  • 7
    • 1842695585 scopus 로고
    • Wetting: statics and dynamics
    • de Genns P.G. Wetting: statics and dynamics. Rev. Mod. Phys. 1985, 57:827-863.
    • (1985) Rev. Mod. Phys. , vol.57 , pp. 827-863
    • de Genns, P.G.1
  • 8
    • 34247560717 scopus 로고    scopus 로고
    • Inertial effects in droplet spreading: a comparison between diffuse-interface and level-set simulations
    • Ding H., Spelt P.D.M. Inertial effects in droplet spreading: a comparison between diffuse-interface and level-set simulations. J. Fluid Mech. 2007, 576:287-296.
    • (2007) J. Fluid Mech. , vol.576 , pp. 287-296
    • Ding, H.1    Spelt, P.D.M.2
  • 9
    • 78649445099 scopus 로고    scopus 로고
    • BDF-like methods for nonlinear dynamic analysis
    • Dong S. BDF-like methods for nonlinear dynamic analysis. J. Comput. Phys. 2010, 229:3019-3045.
    • (2010) J. Comput. Phys. , vol.229 , pp. 3019-3045
    • Dong, S.1
  • 11
    • 77955274943 scopus 로고    scopus 로고
    • An unconditionally stable rotational velocity-correction scheme for incompressible flows
    • Dong S., Shen J. An unconditionally stable rotational velocity-correction scheme for incompressible flows. J. Comput. Phys. 2010, 229:7013-7029.
    • (2010) J. Comput. Phys. , vol.229 , pp. 7013-7029
    • Dong, S.1    Shen, J.2
  • 12
    • 84862854950 scopus 로고    scopus 로고
    • A time-stepping scheme involving constant coefficient matrices for phase field simulations of two-phase incompressible flows with large density ratios
    • Dong S., Shen J. A time-stepping scheme involving constant coefficient matrices for phase field simulations of two-phase incompressible flows with large density ratios. J. Comput. Phys. 2012, 231:5788-5804.
    • (2012) J. Comput. Phys. , vol.231 , pp. 5788-5804
    • Dong, S.1    Shen, J.2
  • 13
    • 74449086791 scopus 로고    scopus 로고
    • Numerical simulation of static and sliding drop with contact angle hysteresis
    • Dupont J.-B., Legendre D. Numerical simulation of static and sliding drop with contact angle hysteresis. J. Comput. Phys. 2010, 229:2453-2478.
    • (2010) J. Comput. Phys. , vol.229 , pp. 2453-2478
    • Dupont, J.-B.1    Legendre, D.2
  • 14
    • 0016091290 scopus 로고
    • On the motion of fluid-fluid interface along a solid surface
    • Dussan E.B., Davis S.H. On the motion of fluid-fluid interface along a solid surface. J. Fluid Mech. 1974, 65:71-95.
    • (1974) J. Fluid Mech. , vol.65 , pp. 71-95
    • Dussan, E.B.1    Davis, S.H.2
  • 15
    • 79951679131 scopus 로고    scopus 로고
    • A numerical investigation of the propulsion of water walkers
    • Gao P., Feng J.J. A numerical investigation of the propulsion of water walkers. J. Fluid Mech. 2011, 668:363-383.
    • (2011) J. Fluid Mech. , vol.668 , pp. 363-383
    • Gao, P.1    Feng, J.J.2
  • 17
    • 0242718371 scopus 로고    scopus 로고
    • Velocity-correction projection methods for incompressible flows
    • Guermond J.L., Shen J. Velocity-correction projection methods for incompressible flows. SIAM J. Numer. Anal. 2003, 41:112-134.
    • (2003) SIAM J. Numer. Anal. , vol.41 , pp. 112-134
    • Guermond, J.L.1    Shen, J.2
  • 18
    • 0017457782 scopus 로고
    • A moving fluid interface. Part 2. the removal of the force singularity by a slip flow
    • Hocking L.M. A moving fluid interface. Part 2. the removal of the force singularity by a slip flow. J. Fluid Mech. 1977, 79:209-229.
    • (1977) J. Fluid Mech. , vol.79 , pp. 209-229
    • Hocking, L.M.1
  • 19
    • 0001452384 scopus 로고
    • Rival contact-angle models and the spreading of drops
    • Hocking L.M. Rival contact-angle models and the spreading of drops. J. Fluid Mech. 1992, 239:671-681.
    • (1992) J. Fluid Mech. , vol.239 , pp. 671-681
    • Hocking, L.M.1
  • 20
    • 0014995788 scopus 로고
    • Hydrodynamic model of steady movement of a solid/liquid/fluid contact line
    • Huh C., Scriven L.E. Hydrodynamic model of steady movement of a solid/liquid/fluid contact line. J. Colloid Interface Sci. 1971, 35:85-101.
    • (1971) J. Colloid Interface Sci. , vol.35 , pp. 85-101
    • Huh, C.1    Scriven, L.E.2
  • 21
    • 0033909679 scopus 로고    scopus 로고
    • Contact-line dynamics of a diffuse fluid interface
    • Jacqmin D. Contact-line dynamics of a diffuse fluid interface. J. Fluid Mech. 2000, 402:57-88.
    • (2000) J. Fluid Mech. , vol.402 , pp. 57-88
    • Jacqmin, D.1
  • 22
    • 84867678926 scopus 로고    scopus 로고
    • Spectral/hp element methods for computational fluid dynamics, 2nd edn. Oxford University Press
    • G.E. Karniadakis and S.J. Sherwin. Spectral/hp element methods for computational fluid dynamics, 2nd edn. Oxford University Press, 2005.
    • (2005)
    • Karniadakis, G.E.1    Sherwin, S.J.2
  • 23
    • 79952622605 scopus 로고    scopus 로고
    • Accurate contact angle boundary conditions for the Cahn-Hilliard equations
    • Lee H.G., Kim J. Accurate contact angle boundary conditions for the Cahn-Hilliard equations. Comput. Fluids 2011, 44:178-186.
    • (2011) Comput. Fluids , vol.44 , pp. 178-186
    • Lee, H.G.1    Kim, J.2
  • 24
    • 0037880420 scopus 로고    scopus 로고
    • A phase field model for the mixture of two incompressible fluids and its approximation by a fourier-spectral method
    • Liu C., Shen J. A phase field model for the mixture of two incompressible fluids and its approximation by a fourier-spectral method. Physica D 2003, 179:211-228.
    • (2003) Physica D , vol.179 , pp. 211-228
    • Liu, C.1    Shen, J.2
  • 25
    • 0041152882 scopus 로고    scopus 로고
    • Quasi-incompressible Cahn-Hilliard fluids and topological transitions
    • Lowengrub J., Truskinovsky L. Quasi-incompressible Cahn-Hilliard fluids and topological transitions. Proc. R. Soc. London A 1998, 454:2617-2654.
    • (1998) Proc. R. Soc. London A , vol.454 , pp. 2617-2654
    • Lowengrub, J.1    Truskinovsky, L.2
  • 26
    • 55949091402 scopus 로고    scopus 로고
    • A variational approach to the contact angle dynamics of spreading droplets
    • Manservisi S., Scardovelli R. A variational approach to the contact angle dynamics of spreading droplets. Comput. Fluids 2009, 38:406-424.
    • (2009) Comput. Fluids , vol.38 , pp. 406-424
    • Manservisi, S.1    Scardovelli, R.2
  • 27
    • 44749084234 scopus 로고
    • Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations
    • Osher S.J., Sethian J.A. Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 1988, 79:12-49.
    • (1988) J. Comput. Phys. , vol.79 , pp. 12-49
    • Osher, S.J.1    Sethian, J.A.2
  • 28
    • 33748867168 scopus 로고    scopus 로고
    • A variational approach to moving contact line hydrodynamics
    • Qian T., Wang X.-P., Sheng P. A variational approach to moving contact line hydrodynamics. J. Fluid Mech. 2006, 564:333-360.
    • (2006) J. Fluid Mech. , vol.564 , pp. 333-360
    • Qian, T.1    Wang, X.-P.2    Sheng, P.3
  • 30
    • 0033489545 scopus 로고    scopus 로고
    • Direct numerical simulation of free-surface and interfacial flow
    • Scardovelli R., Zaleski S. Direct numerical simulation of free-surface and interfacial flow. Ann. Rev. Fluid Mech. 1999, 31:567-603.
    • (1999) Ann. Rev. Fluid Mech. , vol.31 , pp. 567-603
    • Scardovelli, R.1    Zaleski, S.2
  • 31
  • 32
    • 61349169522 scopus 로고    scopus 로고
    • An efficient moving mesh spectral method for the phase-field model of two-phase flows
    • Shen J., Yang X. An efficient moving mesh spectral method for the phase-field model of two-phase flows. J. Comput. Phys. 2009, 228:2978-2992.
    • (2009) J. Comput. Phys. , vol.228 , pp. 2978-2992
    • Shen, J.1    Yang, X.2
  • 33
    • 77957918242 scopus 로고    scopus 로고
    • Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows
    • Shen J., Yang X. Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows. Chin. Ann. Math. Ser. B 2010, 31:743-758.
    • (2010) Chin. Ann. Math. Ser. B , vol.31 , pp. 743-758
    • Shen, J.1    Yang, X.2
  • 34
    • 18844405462 scopus 로고    scopus 로고
    • A level-set approach for simulations of flows with multiple moving contact lines with hysteresis
    • Spelt P.D. A level-set approach for simulations of flows with multiple moving contact lines with hysteresis. J. Comput. Phys. 2005, 207:389-404.
    • (2005) J. Comput. Phys. , vol.207 , pp. 389-404
    • Spelt, P.D.1
  • 35
    • 0001313878 scopus 로고    scopus 로고
    • A front-tracking method for computations of multiphase flow
    • Tryggvason G., Bunner B., Esmaeeli A., et al. A front-tracking method for computations of multiphase flow. J. Comput. Phys. 2001, 169:708-759.
    • (2001) J. Comput. Phys. , vol.169 , pp. 708-759
    • Tryggvason, G.1    Bunner, B.2    Esmaeeli, A.3
  • 36
    • 3242694679 scopus 로고
    • A front-tracking method for viscous, incompressible, multi-fluid flows
    • Unverdi S.O., Tryggvason G. A front-tracking method for viscous, incompressible, multi-fluid flows. J. Comput. Phys. 1992, 100:25-37.
    • (1992) J. Comput. Phys. , vol.100 , pp. 25-37
    • Unverdi, S.O.1    Tryggvason, G.2
  • 37
    • 32644439823 scopus 로고    scopus 로고
    • Drop impact dynamics: splashing, spreading, receding, bouncing ...
    • Yarin A.L. Drop impact dynamics: splashing, spreading, receding, bouncing .... Ann. Rev. Fluid Mech. 2006, 38:159-192.
    • (2006) Ann. Rev. Fluid Mech. , vol.38 , pp. 159-192
    • Yarin, A.L.1
  • 38
    • 79551562233 scopus 로고    scopus 로고
    • Wall energy relaxation in the Cahn-Hilliard model for moving contact lines
    • Yue P., Feng J.J. Wall energy relaxation in the Cahn-Hilliard model for moving contact lines. Phys. Fluids 2011, 23:012106.
    • (2011) Phys. Fluids , vol.23 , pp. 012106
    • Yue, P.1    Feng, J.J.2
  • 39
    • 5444256136 scopus 로고    scopus 로고
    • A diffuse-interface method for simulating two-phase flows of complex fluids
    • Yue P., Feng J.J., Liu C., Shen J. A diffuse-interface method for simulating two-phase flows of complex fluids. J. Fluid Mech. 2004, 515:293-317.
    • (2004) J. Fluid Mech. , vol.515 , pp. 293-317
    • Yue, P.1    Feng, J.J.2    Liu, C.3    Shen, J.4
  • 40
    • 33947139226 scopus 로고    scopus 로고
    • Spontaneous shrinkage of drops and mass conservation in phase-field simulations
    • Yue P., Zhou C., Feng J.J. Spontaneous shrinkage of drops and mass conservation in phase-field simulations. J. Comput. Phys. 2007, 223:1-9.
    • (2007) J. Comput. Phys. , vol.223 , pp. 1-9
    • Yue, P.1    Zhou, C.2    Feng, J.J.3
  • 41
    • 77952410968 scopus 로고    scopus 로고
    • Sharp-interface limit of the Cahn-Hilliard model for moving contact lines
    • Yue P., Zhou C., Feng J.J. Sharp-interface limit of the Cahn-Hilliard model for moving contact lines. J. Fluid Mech. 2010, 645:279-294.
    • (2010) J. Fluid Mech. , vol.645 , pp. 279-294
    • Yue, P.1    Zhou, C.2    Feng, J.J.3
  • 42
    • 33750324569 scopus 로고    scopus 로고
    • Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing
    • Yue P., Zhou C., Feng J.J., Ollivier-Gooch C.F., Hu H.H. Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing. J. Comput. Phys. 2006, 291:47-67.
    • (2006) J. Comput. Phys. , vol.291 , pp. 47-67
    • Yue, P.1    Zhou, C.2    Feng, J.J.3    Ollivier-Gooch, C.F.4    Hu, H.H.5
  • 43
    • 80053133237 scopus 로고    scopus 로고
    • An eigen-based high-order expansion basis for structured spectral elements
    • Zheng X., Dong S. An eigen-based high-order expansion basis for structured spectral elements. J. Comput. Phys. 2011, 230:8573-8602.
    • (2011) J. Comput. Phys. , vol.230 , pp. 8573-8602
    • Zheng, X.1    Dong, S.2
  • 44
    • 77951945499 scopus 로고    scopus 로고
    • 3D phase-field simulations of interfacial dynamics in newtonian and viscoelastic fluids
    • Zhou C., Yue P., Feng J.J., Ollivier-Gooch C.F., Hu H.H. 3D phase-field simulations of interfacial dynamics in newtonian and viscoelastic fluids. J. Comput. Phys. 2010, 229:498-511.
    • (2010) J. Comput. Phys. , vol.229 , pp. 498-511
    • Zhou, C.1    Yue, P.2    Feng, J.J.3    Ollivier-Gooch, C.F.4    Hu, H.H.5


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