메뉴 건너뛰기




Volumn 44, Issue 1, 2011, Pages 178-186

Accurate contact angle boundary conditions for the Cahn-Hilliard equations

Author keywords

Cahn Hilliard equation; Contact angle; Nonlinear multigrid method; Unconditionally gradient stable scheme

Indexed keywords

ANGLE BOUNDARIES; CAHN-HILLIARD EQUATION; CHARACTERISTIC PROPERTIES; MASS CONSERVATION; MATHEMATICAL MODELING; NONLINEAR MULTIGRID METHOD; NUMERICAL EXPERIMENTS; NUMERICAL RESULTS; NUMERICAL TREATMENTS; PHYSICAL INTERPRETATION; SOLID SURFACE; TOTAL ENERGY; TWO-PHASE INTERFACES; UNCONDITIONALLY GRADIENT STABLE SCHEME;

EID: 79952622605     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2010.12.031     Document Type: Article
Times cited : (72)

References (26)
  • 2
    • 0003098343 scopus 로고
    • An essay on the cohesion of fluids
    • Young T. An essay on the cohesion of fluids. Philos Trans R Soc London 1805, 95:65-87.
    • (1805) Philos Trans R Soc London , vol.95 , pp. 65-87
    • Young, T.1
  • 3
    • 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
  • 4
    • 43449102981 scopus 로고
    • On spinodal decomposition
    • Cahn J.W. On spinodal decomposition. Acta Metall Mater 1961, 9:795-801.
    • (1961) Acta Metall Mater , vol.9 , pp. 795-801
    • Cahn, J.W.1
  • 5
    • 33746012315 scopus 로고
    • Free energy of a nonuniform system. I. Interfacial free energy
    • Cahn J.W., Hilliard J.E. Free energy of a nonuniform system. I. Interfacial free energy. J Chem Phys 1958, 28:258-267.
    • (1958) J Chem Phys , vol.28 , pp. 258-267
    • Cahn, J.W.1    Hilliard, J.E.2
  • 6
    • 34247618859 scopus 로고    scopus 로고
    • Wetting condition in diffuse interface simulations of contact line motion
    • 046708-1-8
    • Ding H., Spelt P.D.M. Wetting condition in diffuse interface simulations of contact line motion. Phys Rev E 2007, 75. 046708-1-8.
    • (2007) Phys Rev E , vol.75
    • Ding, H.1    Spelt, P.D.M.2
  • 7
    • 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
  • 9
    • 33846503334 scopus 로고    scopus 로고
    • Capillary spreading of a droplet in the partially wetting regime using a diffuse-interface model
    • Khatavkar V.V., Anderson P.D., Meijer H.H.E. Capillary spreading of a droplet in the partially wetting regime using a diffuse-interface model. J Fluid Mech 2007, 572:367-387.
    • (2007) J Fluid Mech , vol.572 , pp. 367-387
    • Khatavkar, V.V.1    Anderson, P.D.2    Meijer, H.H.E.3
  • 10
    • 33645501935 scopus 로고    scopus 로고
    • Modeling of droplet breakup in a microfluidic T-shaped junction with a phase-field model
    • 031505-1-9
    • Menech M.D. Modeling of droplet breakup in a microfluidic T-shaped junction with a phase-field model. Phys Rev E 2006, 73. 031505-1-9.
    • (2006) Phys Rev E , vol.73
    • Menech, M.D.1
  • 11
    • 69749100184 scopus 로고    scopus 로고
    • Application of a phase-field method to the numerical analysis of motions of a two-phase fluid with high density ratio on a solid surface
    • Takada N., Matsumoto J., Matsumoto S., Ichikawa N. Application of a phase-field method to the numerical analysis of motions of a two-phase fluid with high density ratio on a solid surface. J Comput Sci Technol 2008, 2:318-329.
    • (2008) J Comput Sci Technol , vol.2 , pp. 318-329
    • Takada, N.1    Matsumoto, J.2    Matsumoto, S.3    Ichikawa, N.4
  • 12
    • 33747810056 scopus 로고    scopus 로고
    • Some generic capillary-driven flows
    • Villanueva W., Amberg G. Some generic capillary-driven flows. Int J Multiphase Flow 2006, 32:1072-1086.
    • (2006) Int J Multiphase Flow , vol.32 , pp. 1072-1086
    • Villanueva, W.1    Amberg, G.2
  • 14
    • 0041079077 scopus 로고    scopus 로고
    • A stable and conservative finite difference scheme for the Cahn-Hilliard equation
    • Furihata D. A stable and conservative finite difference scheme for the Cahn-Hilliard equation. Numer Math 2001, 87:675-699.
    • (2001) Numer Math , vol.87 , pp. 675-699
    • Furihata, D.1
  • 15
    • 29144470271 scopus 로고    scopus 로고
    • A multigrid finite element solver for the Cahn-Hilliard equation
    • Kay D., Welford R. A multigrid finite element solver for the Cahn-Hilliard equation. J Comput Phys 2006, 212:288-304.
    • (2006) J Comput Phys , vol.212 , pp. 288-304
    • Kay, D.1    Welford, R.2
  • 16
    • 0346332035 scopus 로고    scopus 로고
    • Conservative multigrid methods for Cahn-Hilliard fluids
    • Kim J., Kang K., Lowengrub J. Conservative multigrid methods for Cahn-Hilliard fluids. J Comput Phys 2004, 193:511-543.
    • (2004) J Comput Phys , vol.193 , pp. 511-543
    • Kim, J.1    Kang, K.2    Lowengrub, J.3
  • 17
    • 15744377181 scopus 로고    scopus 로고
    • Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions
    • Miranville A., Zelik S. Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions. Math Methods Appl Sci 2005, 28:709-735.
    • (2005) Math Methods Appl Sci , vol.28 , pp. 709-735
    • Miranville, A.1    Zelik, S.2
  • 18
    • 76249091583 scopus 로고    scopus 로고
    • Modeling of dynamic wetting far from equilibrium
    • 121701-1-4
    • Carlson A., Do-Quang M., Amberg G. Modeling of dynamic wetting far from equilibrium. Phys Fluids 2009, 21. 121701-1-4.
    • (2009) Phys Fluids , vol.21
    • Carlson, A.1    Do-Quang, M.2    Amberg, G.3
  • 19
    • 79952625908 scopus 로고    scopus 로고
    • <>
    • Eyre DJ. http://www.math.utah.edu/~eyre/research/methods/stable.ps.
    • Eyre, D.J.1
  • 20
    • 0009016402 scopus 로고    scopus 로고
    • Computational and mathematical models of microstructural evolution
    • In: Warrendale, PA: The Material Research Society
    • Eyre DJ. Computational and mathematical models of microstructural evolution. In: Warrendale, PA: The Material Research Society; 1998.
    • (1998)
    • Eyre, D.J.1
  • 21
    • 50949110245 scopus 로고    scopus 로고
    • An unconditionally stable adaptive mesh refinement for Cahn-Hilliard equation
    • Kim J., Bae H.-O. An unconditionally stable adaptive mesh refinement for Cahn-Hilliard equation. J Korean Phys Soc 2008, 53:672-679.
    • (2008) J Korean Phys Soc , vol.53 , pp. 672-679
    • Kim, J.1    Bae, H.-O.2
  • 22
    • 15944426108 scopus 로고    scopus 로고
    • A continuous surface tension force formulation for diffuse-interface models
    • Kim J. A continuous surface tension force formulation for diffuse-interface models. J Comput Phys 2005, 204:784-804.
    • (2005) J Comput Phys , vol.204 , pp. 784-804
    • Kim, J.1
  • 23
    • 60349114175 scopus 로고    scopus 로고
    • An unconditionally gradient stable numerical method for solving the Allen-Cahn equation
    • Choi J.-W., Lee H.G., Jeong D., Kim J. An unconditionally gradient stable numerical method for solving the Allen-Cahn equation. Phys A 2009, 88:1791-1803.
    • (2009) Phys A , vol.88 , pp. 1791-1803
    • Choi, J.-W.1    Lee, H.G.2    Jeong, D.3    Kim, J.4
  • 25
    • 67650147952 scopus 로고    scopus 로고
    • A conservative level set method for contact line dynamics
    • Zahedi S., Gustavsson K., Kreiss G. A conservative level set method for contact line dynamics. J Comput Phys 2009, 228:6361-6375.
    • (2009) J Comput Phys , vol.228 , pp. 6361-6375
    • Zahedi, S.1    Gustavsson, K.2    Kreiss, G.3
  • 26
    • 0036140740 scopus 로고    scopus 로고
    • Spreading of a viscous drop due to gravity and capillarity on a horizontal or an inclined dry wall
    • Reznik S.N., Yarin A.L. Spreading of a viscous drop due to gravity and capillarity on a horizontal or an inclined dry wall. Phys Fluids 2002, 14:118-132.
    • (2002) Phys Fluids , vol.14 , pp. 118-132
    • Reznik, S.N.1    Yarin, A.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.