메뉴 건너뛰기




Volumn 3, Issue 1, 2007, Pages 65-95

An arbitrary Lagrangian-Eulerian (ALE) method for interfacial flows with insoluble surfactants

Author keywords

Arbitrary Lagrangian Eulerian (ALE); Interfacial flow; Level set; Surfactant; Unstructured grid; Volume of fluid (VOF)

Indexed keywords

EQUATIONS OF STATE; FINITE ELEMENT METHOD; FLOW OF FLUIDS; INTERFACES (MATERIALS); SURFACE TENSION; THREE DIMENSIONAL;

EID: 34249784826     PISSN: 1555256X     EISSN: 15552578     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (24)

References (76)
  • 1
    • 0002108952 scopus 로고    scopus 로고
    • The fast construction of extension velocities in level set methods
    • Adalsteinsson, D.; Sethian, J. A. (1999): The fast construction of extension velocities in level set methods. J. Comput. Phys., vol. 148, pp. 2-22.
    • (1999) J. Comput. Phys , vol.148 , pp. 2-22
    • Adalsteinsson, D.1    Sethian, J.A.2
  • 2
    • 0037429531 scopus 로고    scopus 로고
    • Transport and diffusion of material quantities on propagating interfaces via level set method
    • Adalsteinsson, D.; Sethian, J. A. (2003): Transport and diffusion of material quantities on propagating interfaces via level set method. J. Comput. Phys., vol. 185, pp. 271-288.
    • (2003) J. Comput. Phys , vol.185 , pp. 271-288
    • Adalsteinsson, D.1    Sethian, J.A.2
  • 3
    • 19744364406 scopus 로고    scopus 로고
    • Adaptive unstructured volume remeshing-I: The method
    • Anderson, A.; Zheng, X.; Cristini, V. (2005): Adaptive unstructured volume remeshing-I: The method. J. Comput. Phys., vol. 208, pp. 616-625.
    • (2005) J. Comput. Phys , vol.208 , pp. 616-625
    • Anderson, A.1    Zheng, X.2    Cristini, V.3
  • 5
    • 0038346317 scopus 로고    scopus 로고
    • A mixed markers and volume-of-fluid method for the reconstruction and advection of interfaces in two-phase and free-boundary flows
    • Aulisa, E.; Manservisi, S.; Scardovelli, R. (2003): A mixed markers and volume-of-fluid method for the reconstruction and advection of interfaces in two-phase and free-boundary flows. J. Comput. Phys., vol. 188, pp. 611-639.
    • (2003) J. Comput. Phys , vol.188 , pp. 611-639
    • Aulisa, E.1    Manservisi, S.2    Scardovelli, R.3
  • 6
    • 0141626836 scopus 로고    scopus 로고
    • Computation of multiphase systems with phase field models
    • Badalassi, V. E.; Ceniceros, H. D.; Banerjee, S. (2003): Computation of multiphase systems with phase field models. J. Comput. Phys., vol. 190, pp. 371-397.
    • (2003) J. Comput. Phys , vol.190 , pp. 371-397
    • Badalassi, V.E.1    Ceniceros, H.D.2    Banerjee, S.3
  • 8
    • 0035842857 scopus 로고    scopus 로고
    • Variational problems and partial differential equations on implicit surfaces
    • Bertalmio, M.; Cheng, L. T.; Osher, S.; Sapiro, G. (2001): Variational problems and partial differential equations on implicit surfaces. J. Comput. Phys., vol. 174, no. 2, pp. 759-780.
    • (2001) J. Comput. Phys , vol.174 , Issue.2 , pp. 759-780
    • Bertalmio, M.1    Cheng, L.T.2    Osher, S.3    Sapiro, G.4
  • 9
    • 28144462923 scopus 로고
    • A continuum method for modeling surface tension
    • Brackbill, J. U.; Kothe, D. B.; Zemach, C. (1992): A continuum method for modeling surface tension. J. Comput. Phys., vol. 100, pp. 335-354.
    • (1992) J. Comput. Phys , vol.100 , pp. 335-354
    • Brackbill, J.U.1    Kothe, D.B.2    Zemach, C.3
  • 10
    • 0037278282 scopus 로고    scopus 로고
    • The effects of surfactants on the formation and evolution of capillary waves
    • Ceniceros, H. D. (2003): The effects of surfactants on the formation and evolution of capillary waves. Phys. Fluids, vol. 15, no. 1, pp. 245-256.
    • (2003) Phys. Fluids , vol.15 , Issue.1 , pp. 245-256
    • Ceniceros, H.D.1
  • 11
    • 0030584607 scopus 로고    scopus 로고
    • A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
    • Chang, Y. C.; Hou, T. Y.; Merriman, B.; Osher, S. (1996): A level set formulation of Eulerian interface capturing methods for incompressible fluid flows. J. Comput. Phys., vol. 124, pp. 449-464.
    • (1996) J. Comput. Phys , vol.124 , pp. 449-464
    • Chang, Y.C.1    Hou, T.Y.2    Merriman, B.3    Osher, S.4
  • 12
    • 0007181324 scopus 로고    scopus 로고
    • Surfactant-induced retardation of the thermocapillary migration of a droplet
    • Chen, J.; Stebe, K. J. (1997): Surfactant-induced retardation of the thermocapillary migration of a droplet. J. Fluid Mech., vol. 340, pp. 35-59.
    • (1997) J. Fluid Mech , vol.340 , pp. 35-59
    • Chen, J.1    Stebe, K.J.2
  • 13
    • 0001039633 scopus 로고    scopus 로고
    • An adaptive mesh algorithm for evolving surfaces: Simulations of drop breakup and coalescence of interfaces in two-phase and free-boundary flows
    • Cristini, V.; Blawzdziewicz, J.; Loewenberg, M. (2001): An adaptive mesh algorithm for evolving surfaces: simulations of drop breakup and coalescence of interfaces in two-phase and free-boundary flows. J. Comput. Phys., vol. 168, pp. 445-463.
    • (2001) J. Comput. Phys , vol.168 , pp. 445-463
    • Cristini, V.1    Blawzdziewicz, J.2    Loewenberg, M.3
  • 14
    • 0036142288 scopus 로고    scopus 로고
    • Bubble rising in an inclined channel
    • DeBisschop, K. M.; Miksis, M. M.; Eckmann, D. M. (2002): Bubble rising in an inclined channel. Phys. Fluids, vol. 14, no. 1, pp. 93-106.
    • (2002) Phys. Fluids , vol.14 , Issue.1 , pp. 93-106
    • DeBisschop, K.M.1    Miksis, M.M.2    Eckmann, D.M.3
  • 15
    • 0032636424 scopus 로고    scopus 로고
    • Insoluble surfactants on a drop in an extensional flow: A generalization of the stagnated surface limit to deforming interfaces
    • Eggleton, C. D.; Pawar, Y. P.; Stebe, K. J. (1999): Insoluble surfactants on a drop in an extensional flow: a generalization of the stagnated surface limit to deforming interfaces. J. Fluid Mech., vol. 385, pp. 79-99.
    • (1999) J. Fluid Mech , vol.385 , pp. 79-99
    • Eggleton, C.D.1    Pawar, Y.P.2    Stebe, K.J.3
  • 16
    • 0035939341 scopus 로고    scopus 로고
    • Tip streaming from a drop in the presence of surfactants
    • Eggleton, C. D.; Tsai, T.-M.; Stebe, K. (2001): Tip streaming from a drop in the presence of surfactants. Phys. Rev. Lett., vol. 87, no. 048302.
    • (2001) Phys. Rev. Lett , vol.87 , Issue.048302
    • Eggleton, C.D.1    Tsai, T.-M.2    Stebe, K.3
  • 17
    • 0028741633 scopus 로고
    • Inexact and preconditioned Uzawa algorithms for saddle point problems
    • Elman, H. C.; Golub, G. H. (1994): Inexact and preconditioned Uzawa algorithms for saddle point problems. SIAM J. Numer. Anal., vol. 31, no. 6, pp. 1645-1661.
    • (1994) SIAM J. Numer. Anal , vol.31 , Issue.6 , pp. 1645-1661
    • Elman, H.C.1    Golub, G.H.2
  • 18
    • 0037146444 scopus 로고    scopus 로고
    • A hybrid particle level set methods for improved interface capturing
    • Enright, D.; Fedkiw, R.; Ferziger, J.; Mitchell, I. (2002): A hybrid particle level set methods for improved interface capturing. J. Comput. Phys., vol. 183, pp. 83-116.
    • (2002) J. Comput. Phys , vol.183 , pp. 83-116
    • Enright, D.1    Fedkiw, R.2    Ferziger, J.3    Mitchell, I.4
  • 19
    • 0346837922 scopus 로고    scopus 로고
    • A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
    • Fedkiw, R. P.; Aslam, T.; Merriman, B.; Osher, S. (1999): A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). J. Comput. Phys., vol. 152, no. 2, pp. 457-492.
    • (1999) J. Comput. Phys , vol.152 , Issue.2 , pp. 457-492
    • Fedkiw, R.P.1    Aslam, T.2    Merriman, B.3    Osher, S.4
  • 22
    • 0030210980 scopus 로고    scopus 로고
    • An Eulerian approach for vortex motion suing a level set regularization procedure
    • Harabetian, E.; Osher, S.; Shu, C.-W. (1996): An Eulerian approach for vortex motion suing a level set regularization procedure. J. Comput. Phys., vol. 127, no. 1, pp. 15-26.
    • (1996) J. Comput. Phys , vol.127 , Issue.1 , pp. 15-26
    • Harabetian, E.1    Osher, S.2    Shu, C.-W.3
  • 23
    • 33749190078 scopus 로고
    • Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface
    • Harlow, F. H.; Welch, J. E. (1965): Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids, vol. 8, no. 12, pp. 2182-2189.
    • (1965) Phys. Fluids , vol.8 , Issue.12 , pp. 2182-2189
    • Harlow, F.H.1    Welch, J.E.2
  • 24
    • 0000686802 scopus 로고    scopus 로고
    • A numerical method for solving incompressible flow problems with a surface of discontinuity
    • Helenbrook, B. T.; Martinelli, L.; Law, C. K. (1999): A numerical method for solving incompressible flow problems with a surface of discontinuity. J. Comput. Phys., vol. 148, no. 2, pp. 366-396.
    • (1999) J. Comput. Phys , vol.148 , Issue.2 , pp. 366-396
    • Helenbrook, B.T.1    Martinelli, L.2    Law, C.K.3
  • 25
    • 17144456156 scopus 로고    scopus 로고
    • Hirt, C. W.; Amsden, A. A.; Cook, J. L. (1974): An arbitrary Lagrangian-Eulerian computing method for all flow speeds. J. Comput. Phys., 14, no. 3, pp. 227-253. Reprinted in 135, Issue 2, 1997, pages 203-216.
    • Hirt, C. W.; Amsden, A. A.; Cook, J. L. (1974): An arbitrary Lagrangian-Eulerian computing method for all flow speeds. J. Comput. Phys., vol. 14, no. 3, pp. 227-253. Reprinted in Vol. 135, Issue 2, 1997, pages 203-216.
  • 26
    • 0019367877 scopus 로고
    • Volume of fluid (VOF) method for the dynamics of free boundaries
    • Hirt, C. W.; Nichols, B. D. (1981): Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys., vol. 39, pp. 201-225.
    • (1981) J. Comput. Phys , vol.39 , pp. 201-225
    • Hirt, C.W.1    Nichols, B.D.2
  • 27
    • 10244254997 scopus 로고    scopus 로고
    • A numerical method for solving variable coefficient elliptic equation with interfaces
    • Hou, S.; Liu, X.-D. (2005): A numerical method for solving variable coefficient elliptic equation with interfaces. J. Comput. Phys., vol. 202, no. 2, pp. 411-445.
    • (2005) J. Comput. Phys , vol.202 , Issue.2 , pp. 411-445
    • Hou, S.1    Liu, X.-D.2
  • 28
    • 0000968412 scopus 로고    scopus 로고
    • Boundary integral methods for multicomponent fluids and multiphase materials
    • Hou, T. Y.; Lowengrub, J. S.; Shelley, M. J. (2001): Boundary integral methods for multicomponent fluids and multiphase materials. J. Comput. Phys., vol. 169, no. 2, pp. 302-362.
    • (2001) J. Comput. Phys , vol.169 , Issue.2 , pp. 302-362
    • Hou, T.Y.1    Lowengrub, J.S.2    Shelley, M.J.3
  • 29
    • 3242880049 scopus 로고    scopus 로고
    • Estimating surfactant surface coverage and decomposing its effect on drop deformation
    • Hu, Y. T.; Lips, A. (2003): Estimating surfactant surface coverage and decomposing its effect on drop deformation. Phys. Rev. Lett., vol. 91, no. 4, pp. 044501.
    • (2003) Phys. Rev. Lett , vol.91 , Issue.4 , pp. 044501
    • Hu, Y.T.1    Lips, A.2
  • 30
    • 0020777992 scopus 로고
    • Numerical methods for tracking interfaces
    • Hyman, J. M. (1984): Numerical methods for tracking interfaces. Physica D, vol. 12, pp. 396-407.
    • (1984) Physica D , vol.12 , pp. 396-407
    • Hyman, J.M.1
  • 31
    • 0002521331 scopus 로고    scopus 로고
    • Calculation of two-phase Navier-Stokes flows using phase-field modeling
    • Jacqmin, D. (1999): Calculation of two-phase Navier-Stokes flows using phase-field modeling. J. Comput. Phys., vol. 155, pp. 96-127.
    • (1999) J. Comput. Phys , vol.155 , pp. 96-127
    • Jacqmin, D.1
  • 32
    • 8744235083 scopus 로고    scopus 로고
    • A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant
    • James, A. J.; Lowengrub, J. (2004): A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant. J. Comput. Phys., vol. 201, no. 2, pp. 685-722.
    • (2004) J. Comput. Phys , vol.201 , Issue.2 , pp. 685-722
    • James, A.J.1    Lowengrub, J.2
  • 33
    • 0141426636 scopus 로고    scopus 로고
    • Diffuse interface modeling of the morphology and rheology of immiscible polymer blends
    • Keestra, B. J.; Puyvelde, P. C. J. V.; Anderson, P. D.; Meijer, H. E. H. (2003): Diffuse interface modeling of the morphology and rheology of immiscible polymer blends. Phys. Fluids, vol. 15, no. 9, pp. 2567-2575.
    • (2003) Phys. Fluids , vol.15 , Issue.9 , pp. 2567-2575
    • Keestra, B.J.1    Puyvelde, P.C.J.V.2    Anderson, P.D.3    Meijer, H.E.H.4
  • 34
    • 33751232640 scopus 로고    scopus 로고
    • Development and implementation of VOF-PROST for 3D viscoelastic: Liquid-liquid simulations
    • Khismatullin, D. B.; Renardy, Y.; Renardy, M. (2006): Development and implementation of VOF-PROST for 3D viscoelastic: liquid-liquid simulations. J. Non-Newtonian Fluid Mech., vol. 140, no. 1-3, pp. 120-131.
    • (2006) J. Non-Newtonian Fluid Mech , vol.140 , Issue.1-3 , pp. 120-131
    • Khismatullin, D.B.1    Renardy, Y.2    Renardy, M.3
  • 35
    • 0346332035 scopus 로고    scopus 로고
    • Conservative multigrid methods for Cahn-Hilliard fluids
    • Kim, J. S.; Kang, K.; Lowengrub, J. (2004): Conservative multigrid methods for Cahn-Hilliard fluids. J. Comput. Phys., vol. 193, pp. 511-543.
    • (2004) J. Comput. Phys , vol.193 , pp. 511-543
    • Kim, J.S.1    Kang, K.2    Lowengrub, J.3
  • 36
    • 4344687186 scopus 로고    scopus 로고
    • Droplet behavior in the presence of insoluble surfactants
    • Kruijt-Stegeman, V. W.; van de Vosse, F. N.; Meijer, H. E. H. (2004): Droplet behavior in the presence of insoluble surfactants. Phys. Fluids, vol. 16, no. 8, pp. 2785-2796.
    • (2004) Phys. Fluids , vol.16 , Issue.8 , pp. 2785-2796
    • Kruijt-Stegeman, V.W.1    van de Vosse, F.N.2    Meijer, H.E.H.3
  • 37
    • 34249716649 scopus 로고    scopus 로고
    • Locomotion of a viscous drop, induced by the internal secretion of surfactant: Boundary effects
    • Lavrenteva, O. M.; Tsemakh, D.; Nir, A. (2005): Locomotion of a viscous drop, induced by the internal secretion of surfactant: Boundary effects. FDMP: Fluid Dynamics & Materials Processing, vol. 1, no. 2, pp. 131-152.
    • (2005) FDMP: Fluid Dynamics & Materials Processing , vol.1 , Issue.2 , pp. 131-152
    • Lavrenteva, O.M.1    Tsemakh, D.2    Nir, A.3
  • 38
    • 26844436096 scopus 로고    scopus 로고
    • Effect of surfactants on the deformation of drops and bubbles in Navier-Stokes flow
    • Lee, J.; Pozrikidis, C. (2006): Effect of surfactants on the deformation of drops and bubbles in Navier-Stokes flow. Comput. Fluids, vol. 35, pp. 43-60.
    • (2006) Comput. Fluids , vol.35 , pp. 43-60
    • Lee, J.1    Pozrikidis, C.2
  • 39
    • 0028485385 scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • LeVeque, R.; Li, Z. (1994): The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal., vol. 31, no. 4, pp. 1019-1044.
    • (1994) SIAM J. Numer. Anal , vol.31 , Issue.4 , pp. 1019-1044
    • LeVeque, R.1    Li, Z.2
  • 40
    • 0031129202 scopus 로고    scopus 로고
    • Immersed interface methods for Stokes flow with elastic boundaries or surface tension
    • LeVeque, R.; Li, Z. (1997): Immersed interface methods for Stokes flow with elastic boundaries or surface tension. SIAM J. Sci. Comput., vol. 18, no. 3, pp. 709-735.
    • (1997) SIAM J. Sci. Comput , vol.18 , Issue.3 , pp. 709-735
    • LeVeque, R.1    Li, Z.2
  • 41
    • 0031164735 scopus 로고    scopus 로고
    • Effect of surfactants on drop deformation and on the rheology of dilute emulsions in Stokes flow
    • Li, X.; Pozrikidis, C. (1997): Effect of surfactants on drop deformation and on the rheology of dilute emulsions in Stokes flow. J. Fluid Mech., vol. 341, pp. 165-194.
    • (1997) J. Fluid Mech , vol.341 , pp. 165-194
    • Li, X.1    Pozrikidis, C.2
  • 43
    • 0001491689 scopus 로고    scopus 로고
    • A boundary condition capturing method for Poisson's equation on irregular domains
    • Liu, X.-D.; Fedkiw, R. P.; Kang, M. (2000): A boundary condition capturing method for Poisson's equation on irregular domains. J. Comput. Phys., vol. 160, no. 1, pp. 151-178.
    • (2000) J. Comput. Phys , vol.160 , Issue.1 , pp. 151-178
    • Liu, X.-D.1    Fedkiw, R.P.2    Kang, M.3
  • 44
    • 0141844964 scopus 로고    scopus 로고
    • Selected topics in the history of the two-dimensional biharmonic problem
    • Meleshko, V. (2003): Selected topics in the history of the two-dimensional biharmonic problem. Appl. Mech. Rev., vol. 56, no. 1, pp. 33-85.
    • (2003) Appl. Mech. Rev , vol.56 , Issue.1 , pp. 33-85
    • Meleshko, V.1
  • 45
    • 0027390259 scopus 로고
    • The effect of surfactant on the transient motion of Newtonian drops
    • Milliken, W. J.; Stone, H. A.; Leal, L. G. (1993): The effect of surfactant on the transient motion of Newtonian drops. Phys. Fluids, vol. 5, no. 1, pp. 69-79.
    • (1993) Phys. Fluids , vol.5 , Issue.1 , pp. 69-79
    • Milliken, W.J.1    Stone, H.A.2    Leal, L.G.3
  • 46
    • 34249811306 scopus 로고    scopus 로고
    • Noh, W.; Woodward, P. (1976): SLIC (simple line interface calculation). Lect. Notes Phys., 59, pp. 330-340. in Proc. 5th Int. Conf. Fluid Dyn.
    • Noh, W.; Woodward, P. (1976): SLIC (simple line interface calculation). Lect. Notes Phys., vol. 59, pp. 330-340. in Proc. 5th Int. Conf. Fluid Dyn.
  • 47
    • 0000653947 scopus 로고    scopus 로고
    • Level set methods: An overview and some recent results
    • Osher, S.; Fedkiw, R. P. (2001): Level set methods: An overview and some recent results. J. Comput. Phys., vol. 169, pp. 463-502.
    • (2001) J. Comput. Phys , vol.169 , pp. 463-502
    • Osher, S.1    Fedkiw, R.P.2
  • 48
    • 44749084234 scopus 로고
    • Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • Osher, S. J.; Sethian, J. A. (1988): Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys., vol. 79, pp. 12-49.
    • (1988) J. Comput. Phys , vol.79 , pp. 12-49
    • Osher, S.J.1    Sethian, J.A.2
  • 49
    • 0029673839 scopus 로고    scopus 로고
    • Marangoni effects on drop deformation in an extensional flow: The role of surfactant physical chemistry. I. Insoluble surfactants
    • Pawar, Y.; Stebe, K. J. (1996): Marangoni effects on drop deformation in an extensional flow: The role of surfactant physical chemistry. I. Insoluble surfactants. Phys. Fluids, vol. 8, no. 7, pp. 1738-1751.
    • (1996) Phys. Fluids , vol.8 , Issue.7 , pp. 1738-1751
    • Pawar, Y.1    Stebe, K.J.2
  • 50
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • Peskin, C. S. (1977): Numerical analysis of blood flow in the heart. J. Comput. Phys., vol. 25, no. 1, pp. 220-252.
    • (1977) J. Comput. Phys , vol.25 , Issue.1 , pp. 220-252
    • Peskin, C.S.1
  • 51
    • 0000736524 scopus 로고    scopus 로고
    • Interfacial dynamics for Stokes flow
    • Pozrikidis, C. (2001): Interfacial dynamics for Stokes flow. J. Comput. Phys., vol. 169, pp. 250-301.
    • (2001) J. Comput. Phys , vol.169 , pp. 250-301
    • Pozrikidis, C.1
  • 52
    • 1942539338 scopus 로고    scopus 로고
    • A finite-element method for interfacial surfactant transport, with application to the flow-induced deformation of a viscous drop
    • Pozrikidis, C. (2004): A finite-element method for interfacial surfactant transport, with application to the flow-induced deformation of a viscous drop. J. Eng. Math., vol. 49, no. 2, pp. 163-180.
    • (2004) J. Eng. Math , vol.49 , Issue.2 , pp. 163-180
    • Pozrikidis, C.1
  • 54
    • 0037059250 scopus 로고    scopus 로고
    • PROST: A parabolic reconstruction of surface tension for the volume-of-fluid method
    • Renardy, Y.; Renardy, M. (2002): PROST: A parabolic reconstruction of surface tension for the volume-of-fluid method. J. Comput. Phys., vol. 183, pp. 400-421.
    • (2002) J. Comput. Phys , vol.183 , pp. 400-421
    • Renardy, Y.1    Renardy, M.2
  • 55
    • 0036179087 scopus 로고    scopus 로고
    • A new volume-of-fluid formulation for surfactants and simulations of drop deformation under shear at a low viscosity ratio
    • Renardy, Y. Y.; Renardy, M.; Cristini, V. (2002): A new volume-of-fluid formulation for surfactants and simulations of drop deformation under shear at a low viscosity ratio. Eur. J. Mech. B/ Fluids, vol. 21, pp. 49-59.
    • (2002) Eur. J. Mech. B/ Fluids , vol.21 , pp. 49-59
    • Renardy, Y.Y.1    Renardy, M.2    Cristini, V.3
  • 56
    • 84982318480 scopus 로고
    • Stretching and tearing interface tracking methods
    • 95-1717, AIAA, 1995. The 12th AIAA CFD conference, San Diego
    • Rider, W. J.; Kothe, D. B. (1995): Stretching and tearing interface tracking methods. Technical Report AIAA 95-1717, AIAA, 1995. The 12th AIAA CFD conference, San Diego.
    • (1995) Technical Report AIAA
    • Rider, W.J.1    Kothe, D.B.2
  • 57
    • 0040844790 scopus 로고    scopus 로고
    • Reconstructing volume tracking
    • Rider, W. J.; Kothe, D. B. (1998): Reconstructing volume tracking. J. Comput. Phys., vol. 141, pp. 112-152.
    • (1998) J. Comput. Phys , vol.141 , pp. 112-152
    • Rider, W.J.1    Kothe, D.B.2
  • 58
    • 0033489545 scopus 로고    scopus 로고
    • Direct numerical simulation of free-surface and interfacial flow
    • Scardovelli, R.; Zaleski, S. (1999): Direct numerical simulation of free-surface and interfacial flow. Annu. Rev. Fluid Mech., vol. 31, pp. 567-603.
    • (1999) Annu. Rev. Fluid Mech , vol.31 , pp. 567-603
    • Scardovelli, R.1    Zaleski, S.2
  • 59
    • 0242276905 scopus 로고    scopus 로고
    • Level set methods for fluid interfaces
    • Sethian, J. A.; Smereka, P. (2003): Level set methods for fluid interfaces. Annu. Rev. Fluid Mech., vol. 35, pp. 341-372.
    • (2003) Annu. Rev. Fluid Mech , vol.35 , pp. 341-372
    • Sethian, J.A.1    Smereka, P.2
  • 61
    • 36549104052 scopus 로고
    • A simple derivation of the time-dependent convective-diffusion equation for surfactant transport along a deforming interface
    • Stone, H. A. (1990): A simple derivation of the time-dependent convective-diffusion equation for surfactant transport along a deforming interface. Phys. Fluids A, vol. 2, no. 1, pp. 111-112.
    • (1990) Phys. Fluids A , vol.2 , Issue.1 , pp. 111-112
    • Stone, H.A.1
  • 62
    • 0025517168 scopus 로고
    • The effects of surfactants on drop deformation and breakup
    • Stone, H. A.; Leal, L. G. (1990): The effects of surfactants on drop deformation and breakup. J. Fluid Mech., vol. 220, pp. 161-186.
    • (1990) J. Fluid Mech , vol.220 , pp. 161-186
    • Stone, H.A.1    Leal, L.G.2
  • 63
    • 33644504759 scopus 로고    scopus 로고
    • Fast polygon area and Newell normal computation
    • Sunday, D. (2002): Fast polygon area and Newell normal computation. J. Graphics Tools: JGT, vol. 7, no. 2, pp. 9-13.
    • (2002) J. Graphics Tools: JGT , vol.7 , Issue.2 , pp. 9-13
    • Sunday, D.1
  • 64
    • 0037407382 scopus 로고    scopus 로고
    • A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles
    • Sussman, M. (2003): A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles. J. Comput. Phys., vol. 187, pp. 110-136.
    • (2003) J. Comput. Phys , vol.187 , pp. 110-136
    • Sussman, M.1
  • 65
    • 0002458941 scopus 로고    scopus 로고
    • A coupled level set and volume-of-fluid method for computing 3d and axisymmetric incompressible two-phase flows
    • Sussman, M.; Puckett, E. G. (2000): A coupled level set and volume-of-fluid method for computing 3d and axisymmetric incompressible two-phase flows. J. Comput. Phys., vol. 162, pp. 301-337.
    • (2000) J. Comput. Phys , vol.162 , pp. 301-337
    • Sussman, M.1    Puckett, E.G.2
  • 68
    • 3242694679 scopus 로고
    • A front-tracking method for viscous, incompressible, multi-fluid flows
    • Unverdi, S. O.; Tryggvason, G. (1992): A front-tracking method for viscous, incompressible, multi-fluid flows. J. Comput. Phys., vol. 100, pp. 25-37.
    • (1992) J. Comput. Phys , vol.100 , pp. 25-37
    • Unverdi, S.O.1    Tryggvason, G.2
  • 69
    • 0141564610 scopus 로고    scopus 로고
    • W. Dettmer, P. H. Saksono, D. P. (2003): On a finite element formulation for incompressible Newtonian fluid flows on moving domains in the presence of surface tension. Commun. Numer. Meth. En., 19, no. 9, pp. 659-668.
    • W. Dettmer, P. H. Saksono, D. P. (2003): On a finite element formulation for incompressible Newtonian fluid flows on moving domains in the presence of surface tension. Commun. Numer. Meth. En., vol. 19, no. 9, pp. 659-668.
  • 70
    • 0000456323 scopus 로고    scopus 로고
    • On the surfactant mass balance at a deforming fluid interface
    • Wong, H.; Rumschitzki, D.; Maldarelli, C. (1996): On the surfactant mass balance at a deforming fluid interface. Phys. Fluids, vol. 8, no. 11, pp. 3203-3204.
    • (1996) Phys. Fluids , vol.8 , Issue.11 , pp. 3203-3204
    • Wong, H.1    Rumschitzki, D.2    Maldarelli, C.3
  • 71
    • 29144444774 scopus 로고    scopus 로고
    • A level set method for interfacial flows with surfactant
    • Xu, J.-J.; Li, Z.; Lowengrub, J.; Zhao, H.-K. (2006): A level set method for interfacial flows with surfactant. J. Comput. Phys., vol. 212, no. 2, pp. 590-616.
    • (2006) J. Comput. Phys , vol.212 , Issue.2 , pp. 590-616
    • Xu, J.-J.1    Li, Z.2    Lowengrub, J.3    Zhao, H.-K.4
  • 72
    • 0346640322 scopus 로고    scopus 로고
    • An Eulerian formulation for solving partial differential equations along a moving interface
    • Xu, J.-J.; Zhao, H.-K. (2003): An Eulerian formulation for solving partial differential equations along a moving interface. J. Sci. Comput., vol. 19, pp. 573-594.
    • (2003) J. Sci. Comput , vol.19 , pp. 573-594
    • Xu, J.-J.1    Zhao, H.-K.2
  • 73
    • 33748419828 scopus 로고    scopus 로고
    • An adaptive coupled level-set/volume-of-fluid interface capturing method for unstructured triangular grids
    • Yang, X.; James, A. J.; Lowengrub, J.; Zheng, X.; Cristini, V. (2006): An adaptive coupled level-set/volume-of-fluid interface capturing method for unstructured triangular grids. J. Comput. Phys., vol. 217, pp. 364-394.
    • (2006) J. Comput. Phys , vol.217 , pp. 364-394
    • Yang, X.1    James, A.J.2    Lowengrub, J.3    Zheng, X.4    Cristini, V.5
  • 74
    • 0032212524 scopus 로고    scopus 로고
    • A finite-volume/boundary-element method for flow past interfaces in the presence of surfactants, with application to shear flow past a viscous drop
    • Yon, S.; Pozrikidis, C. (1998): A finite-volume/boundary-element method for flow past interfaces in the presence of surfactants, with application to shear flow past a viscous drop. Comput. Fluids, vol. 27, pp. 879-902.
    • (1998) Comput. Fluids , vol.27 , pp. 879-902
    • Yon, S.1    Pozrikidis, C.2
  • 76
    • 19744364600 scopus 로고    scopus 로고
    • Adaptive unstructured volume remeshing-II: Application to two- and three-dimensional level-set simulations of multiphase flow
    • Zheng, X.; Lowengrub, J.; Anderson, A.; Cristini, V. (2005): Adaptive unstructured volume remeshing-II: Application to two- and three-dimensional level-set simulations of multiphase flow. J. Comput. Phys., vol. 208, pp. 626-650.
    • (2005) J. Comput. Phys , vol.208 , pp. 626-650
    • Zheng, X.1    Lowengrub, J.2    Anderson, A.3    Cristini, V.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.