메뉴 건너뛰기




Volumn 253, Issue , 2013, Pages 18-49

A discrete geometric approach for simulating the dynamics of thin viscous threads

Author keywords

Bending; Rayleigh Taylor analogy; Twisting; Viscous coiling; Viscous rod

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); GEOMETRY; ROTATION;

EID: 84880974693     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2013.06.034     Document Type: Article
Times cited : (67)

References (78)
  • 1
    • 0035596383 scopus 로고    scopus 로고
    • Unsteady analyses of thermal glass fibre drawing processes
    • Forest M.G., Zhou H. Unsteady analyses of thermal glass fibre drawing processes. European Journal of Applied Mathematics 2001, 12:479-496.
    • (2001) European Journal of Applied Mathematics , vol.12 , pp. 479-496
    • Forest, M.G.1    Zhou, H.2
  • 4
    • 0028604692 scopus 로고
    • Physical parameters governing the formation of Pele hair and tears
    • Shimozuru D. Physical parameters governing the formation of Pele hair and tears. Bulletin of Volcanology 1994, 56(3):217-219.
    • (1994) Bulletin of Volcanology , vol.56 , Issue.3 , pp. 217-219
    • Shimozuru, D.1
  • 8
    • 2642625664 scopus 로고    scopus 로고
    • Fluid 'rope trick' investigated
    • Mahadevan L., Ryu W.S., Samuel A.D.T. Fluid 'rope trick' investigated. Nature 1998, 392(140):502.
    • (1998) Nature , vol.392 , Issue.140 , pp. 502
    • Mahadevan, L.1    Ryu, W.S.2    Samuel, A.D.T.3
  • 11
    • 33748282936 scopus 로고    scopus 로고
    • Stability of liquid rope coiling
    • Ribe N.M., Habibi M., Bonn D. Stability of liquid rope coiling. Physics of Fluids 2006, 18(8):084102.
    • (2006) Physics of Fluids , vol.18 , Issue.8 , pp. 084102
    • Ribe, N.M.1    Habibi, M.2    Bonn, D.3
  • 12
    • 33751026259 scopus 로고    scopus 로고
    • The fall of a viscous thread onto a moving surface: a 'fluid-mechanical sewing machine'
    • Chiu-Webster S., Lister J.R. The fall of a viscous thread onto a moving surface: a 'fluid-mechanical sewing machine'. Journal of Fluid Mechanics 2006, 569:89-111.
    • (2006) Journal of Fluid Mechanics , vol.569 , pp. 89-111
    • Chiu-Webster, S.1    Lister, J.R.2
  • 14
    • 0000598219 scopus 로고
    • On the coefficient of viscous traction and its relation to that of viscosity
    • Trouton F.R.S. On the coefficient of viscous traction and its relation to that of viscosity. Proceedings of the Royal Society of London, A 1906, 77:426-440.
    • (1906) Proceedings of the Royal Society of London, A , vol.77 , pp. 426-440
    • Trouton, F.R.S.1
  • 16
    • 0001476830 scopus 로고
    • Free-surface stress conditions for incompressible-flow calculations
    • Hirt C.W., Shannon J.P. Free-surface stress conditions for incompressible-flow calculations. Journal of Computational Physics 1968, 2:403-441.
    • (1968) Journal of Computational Physics , vol.2 , pp. 403-441
    • Hirt, C.W.1    Shannon, J.P.2
  • 17
    • 0001234135 scopus 로고
    • Improved free surface boundary conditions for numerical incompressible-flow calculations
    • Nichols B.D., Hirt C.W. Improved free surface boundary conditions for numerical incompressible-flow calculations. Journal of Computational Physics 1971, 8:434-448.
    • (1971) Journal of Computational Physics , vol.8 , pp. 434-448
    • Nichols, B.D.1    Hirt, C.W.2
  • 18
    • 28144452717 scopus 로고
    • GENSMAC: A computational marker and cell method for free surface flows in general domains
    • Tome M.F., McKee S. GENSMAC: A computational marker and cell method for free surface flows in general domains. Journal of Computational Physics 1994, 110(1):171-186.
    • (1994) Journal of Computational Physics , vol.110 , Issue.1 , pp. 171-186
    • Tome, M.F.1    McKee, S.2
  • 20
    • 45849124975 scopus 로고    scopus 로고
    • An implicit technique for solving 3D low Reynolds number moving free surface flows
    • Oishi C.M., Tomé M.F., Cuminato J.A., McKee S. An implicit technique for solving 3D low Reynolds number moving free surface flows. Journal of Computational Physics 2008, 227(16):7446-7468.
    • (2008) Journal of Computational Physics , vol.227 , Issue.16 , pp. 7446-7468
    • Oishi, C.M.1    Tomé, M.F.2    Cuminato, J.A.3    McKee, S.4
  • 22
    • 65649100473 scopus 로고    scopus 로고
    • Asymptotic model for the dynamics of curved viscous fibres with surface tension
    • Marheineke N., Wegener R. Asymptotic model for the dynamics of curved viscous fibres with surface tension. Journal of Fluid Mechanics 2009, 622:345-369.
    • (2009) Journal of Fluid Mechanics , vol.622 , pp. 345-369
    • Marheineke, N.1    Wegener, R.2
  • 23
    • 0034338380 scopus 로고    scopus 로고
    • Folding of viscous sheets and filaments
    • Skorobogatiy M., Mahadevan L. Folding of viscous sheets and filaments. Europhysics Letters 2000, 52(5):532-538.
    • (2000) Europhysics Letters , vol.52 , Issue.5 , pp. 532-538
    • Skorobogatiy, M.1    Mahadevan, L.2
  • 25
    • 79956000533 scopus 로고    scopus 로고
    • The asymptotic structure of a slender dragged viscous thread
    • Blount M.J., Lister J.R. The asymptotic structure of a slender dragged viscous thread. Journal of Fluid Mechanics 2011, 674:489-521.
    • (2011) Journal of Fluid Mechanics , vol.674 , pp. 489-521
    • Blount, M.J.1    Lister, J.R.2
  • 27
    • 78049254566 scopus 로고    scopus 로고
    • Spontaneous generation of spiral waves by a hydrodynamic instability
    • Habibi M., Møller P.C.F., Ribe N.M., Bonn D. Spontaneous generation of spiral waves by a hydrodynamic instability. Europhysics Letters 2008, 81:38004.
    • (2008) Europhysics Letters , vol.81 , pp. 38004
    • Habibi, M.1    Møller, P.C.F.2    Ribe, N.M.3    Bonn, D.4
  • 29
    • 0012920014 scopus 로고    scopus 로고
    • New amplitude equations for thin elastic rods
    • Goriely A., Tabor M. New amplitude equations for thin elastic rods. Physical Review Letters 1996, 77(17):3537-3540.
    • (1996) Physical Review Letters , vol.77 , Issue.17 , pp. 3537-3540
    • Goriely, A.1    Tabor, M.2
  • 30
    • 22244457390 scopus 로고    scopus 로고
    • Nonlinear dynamics of filaments II. Nonlinear analysis
    • Goriely A., Tabor M. Nonlinear dynamics of filaments II. Nonlinear analysis. Physica D: Nonlinear Phenomena 1997, 105(1-3):45-61.
    • (1997) Physica D: Nonlinear Phenomena , vol.105 , Issue.1-3 , pp. 45-61
    • Goriely, A.1    Tabor, M.2
  • 31
    • 68049085591 scopus 로고    scopus 로고
    • Matched asymptotic expansions for twisted elastic knots: a self-contact problem with non-trivial contact topology
    • Clauvelin N., Audoly B., Neukirch S. Matched asymptotic expansions for twisted elastic knots: a self-contact problem with non-trivial contact topology. Journal of the Mechanics and Physics of Solids 2009, 57:1623-1656.
    • (2009) Journal of the Mechanics and Physics of Solids , vol.57 , pp. 1623-1656
    • Clauvelin, N.1    Audoly, B.2    Neukirch, S.3
  • 32
    • 0039496338 scopus 로고    scopus 로고
    • Removing the stiffness of curvature in computing 3-D filaments
    • Hou T.Y., Klapper I., Si H. Removing the stiffness of curvature in computing 3-D filaments. Journal of Computational Physics 1998, 143(2):628-664.
    • (1998) Journal of Computational Physics , vol.143 , Issue.2 , pp. 628-664
    • Hou, T.Y.1    Klapper, I.2    Si, H.3
  • 33
    • 0036922105 scopus 로고    scopus 로고
    • Dynamics of geometrically nonlinear rods: II - Numerical methods and computational examples
    • Weiss H. Dynamics of geometrically nonlinear rods: II - Numerical methods and computational examples. Nonlinear Dynamics 2002, 30:383-415.
    • (2002) Nonlinear Dynamics , vol.30 , pp. 383-415
    • Weiss, H.1
  • 34
    • 20344370700 scopus 로고    scopus 로고
    • Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cables
    • Goyal S., Perkins N.C., Lee C.L. Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cables. Journal of Computational Physics 2005, 209(1):371-389.
    • (2005) Journal of Computational Physics , vol.209 , Issue.1 , pp. 371-389
    • Goyal, S.1    Perkins, N.C.2    Lee, C.L.3
  • 38
    • 0006898303 scopus 로고
    • Buckling instabilities in layers of viscous liquid subjected to shearing
    • Benjamin T.B., Mullin T. Buckling instabilities in layers of viscous liquid subjected to shearing. Journal of Fluid Mechanics 1988, 195:523-540.
    • (1988) Journal of Fluid Mechanics , vol.195 , pp. 523-540
    • Benjamin, T.B.1    Mullin, T.2
  • 42
    • 84860521177 scopus 로고    scopus 로고
    • A numerical investigation of the fluid mechanical sewing machine
    • Brun P.-T., Ribe N.M., Audoly B. A numerical investigation of the fluid mechanical sewing machine. Physics of Fluids 2012, 24(4):043102.
    • (2012) Physics of Fluids , vol.24 , Issue.4 , pp. 043102
    • Brun, P.-T.1    Ribe, N.M.2    Audoly, B.3
  • 44
    • 84975988105 scopus 로고
    • The buckling of thin viscous jets
    • Buckmaster J. The buckling of thin viscous jets. Journal of Fluid Mechanics 1973, 61(3):449-463.
    • (1973) Journal of Fluid Mechanics , vol.61 , Issue.3 , pp. 449-463
    • Buckmaster, J.1
  • 46
    • 46749137266 scopus 로고    scopus 로고
    • Systematic derivation of an asymptotic model for the dynamics of curved viscous fibers
    • Panda S., Marheineke N., Wegener R. Systematic derivation of an asymptotic model for the dynamics of curved viscous fibers. Mathematical Methods in the Applied Sciences 2008, 31(10):1153-1173.
    • (2008) Mathematical Methods in the Applied Sciences , vol.31 , Issue.10 , pp. 1153-1173
    • Panda, S.1    Marheineke, N.2    Wegener, R.3
  • 47
    • 0022765203 scopus 로고
    • A one-dimensional theory for viscoelastic fluid jets, with application to extrudate swell and draw-down under gravity
    • Bechtel S.E., Forest M.G., Bogy D.B. A one-dimensional theory for viscoelastic fluid jets, with application to extrudate swell and draw-down under gravity. Journal of Non-Newtonian Fluid Mechanics 1986, 21(3):273-308.
    • (1986) Journal of Non-Newtonian Fluid Mechanics , vol.21 , Issue.3 , pp. 273-308
    • Bechtel, S.E.1    Forest, M.G.2    Bogy, D.B.3
  • 48
    • 0026818452 scopus 로고
    • Practical application of a higher order perturbation theory for slender viscoelastic jets and fibers
    • Bechtel S.E., Cao J.Z., Forest M.G. Practical application of a higher order perturbation theory for slender viscoelastic jets and fibers. Journal of Non-Newtonian Fluid Mechanics 1992, 41(3):201-273.
    • (1992) Journal of Non-Newtonian Fluid Mechanics , vol.41 , Issue.3 , pp. 201-273
    • Bechtel, S.E.1    Cao, J.Z.2    Forest, M.G.3
  • 51
    • 0002979277 scopus 로고
    • L'intégrale de Gauss et l'anlyse des nœuds tridimensionnels
    • Cǎlugǎreanu G. L'intégrale de Gauss et l'anlyse des nœuds tridimensionnels. Revue de Mathématiques Pures et Appliquées 1959, 4(5):5-20.
    • (1959) Revue de Mathématiques Pures et Appliquées , vol.4 , Issue.5 , pp. 5-20
    • Cǎlugǎreanu, G.1
  • 52
    • 0001288787 scopus 로고
    • The self-linking number of a closed space curve
    • Pohl W. The self-linking number of a closed space curve. Indiana University Mathematics Journal 1968, 17:975-985.
    • (1968) Indiana University Mathematics Journal , vol.17 , pp. 975-985
    • Pohl, W.1
  • 53
    • 0000751914 scopus 로고
    • Self-linking and the Gauss integral in higher dimensions
    • White J.H. Self-linking and the Gauss integral in higher dimensions. American Journal of Mathematics 1969, 91(3):693-728.
    • (1969) American Journal of Mathematics , vol.91 , Issue.3 , pp. 693-728
    • White, J.H.1
  • 54
    • 0015040327 scopus 로고
    • The writhing number of a space curve
    • Fuller F.B. The writhing number of a space curve. PNAS 1971, 68(4):815-819.
    • (1971) PNAS , vol.68 , Issue.4 , pp. 815-819
    • Fuller, F.B.1
  • 55
    • 0017886919 scopus 로고
    • Decomposition of the linking number of a closed ribbon: a problem from molecular biology
    • Fuller F.B. Decomposition of the linking number of a closed ribbon: a problem from molecular biology. PNAS 1978, 75(8):3557-3561.
    • (1978) PNAS , vol.75 , Issue.8 , pp. 3557-3561
    • Fuller, F.B.1
  • 57
    • 0030408358 scopus 로고    scopus 로고
    • Lagrangian aspects of the Kirchhoff elastic rod
    • Langer J., Singer D.A. Lagrangian aspects of the Kirchhoff elastic rod. SIAM Review 1996, 38(4):605-618.
    • (1996) SIAM Review , vol.38 , Issue.4 , pp. 605-618
    • Langer, J.1    Singer, D.A.2
  • 59
    • 0023053389 scopus 로고
    • Calculation of the twist and the writhe for representative models of DNA
    • White J.H., Bauer W.R. Calculation of the twist and the writhe for representative models of DNA. Journal of Molecular Biology 1986, 189(2):329-341. 10.1016/0022-2836(86)90513-9.
    • (1986) Journal of Molecular Biology , vol.189 , Issue.2 , pp. 329-341
    • White, J.H.1    Bauer, W.R.2
  • 60
    • 0001620627 scopus 로고
    • The dependence of DNA tertiary structure on end conditions: Theory and implications for topological transitions
    • Tobias I., Coleman B.D., Olson W.K. The dependence of DNA tertiary structure on end conditions: Theory and implications for topological transitions. The Journal of Chemical Physics 1994, 101(12):10990-10996.
    • (1994) The Journal of Chemical Physics , vol.101 , Issue.12 , pp. 10990-10996
    • Tobias, I.1    Coleman, B.D.2    Olson, W.K.3
  • 61
    • 0034668195 scopus 로고    scopus 로고
    • Computation of writhe in modeling of supercoiled DNA
    • Klenin K., Langowski J. Computation of writhe in modeling of supercoiled DNA. Biopolymers 2000, 54(5):307-317.
    • (2000) Biopolymers , vol.54 , Issue.5 , pp. 307-317
    • Klenin, K.1    Langowski, J.2
  • 62
    • 0035310287 scopus 로고    scopus 로고
    • Writhing geometry at finite temperature: Random walks and geometric phases for stiff polymers
    • Maggs A.C. Writhing geometry at finite temperature: Random walks and geometric phases for stiff polymers. The Journal of Chemical Physics 2001, 114(13):5888-5896. 10.1063/1.1353545.
    • (2001) The Journal of Chemical Physics , vol.114 , Issue.13 , pp. 5888-5896
    • Maggs, A.C.1
  • 64
    • 0034645854 scopus 로고    scopus 로고
    • Twirling and whirling: Viscous dynamics of rotating elastic filaments
    • Wolgemuth C.W., Powers T.R., Goldstein R.E. Twirling and whirling: Viscous dynamics of rotating elastic filaments. Physical Review Letters 2000, 84(7):1623-1626.
    • (2000) Physical Review Letters , vol.84 , Issue.7 , pp. 1623-1626
    • Wolgemuth, C.W.1    Powers, T.R.2    Goldstein, R.E.3
  • 65
    • 0021095856 scopus 로고
    • Protein folding by restrained energy minimization and molecular dynamics
    • Levitt M. Protein folding by restrained energy minimization and molecular dynamics. Journal of Molecular Biology 1983, 170(3):723-764.
    • (1983) Journal of Molecular Biology , vol.170 , Issue.3 , pp. 723-764
    • Levitt, M.1
  • 66
    • 68049134529 scopus 로고
    • Advanced Dynamics for Engineers
    • Holt Rinehart and Winston
    • Torby B. Advanced Dynamics for Engineers. HRW Series in Mechanical Engineering 1984, Holt Rinehart and Winston.
    • (1984) HRW Series in Mechanical Engineering
    • Torby, B.1
  • 74
    • 33645927052 scopus 로고    scopus 로고
    • Numerical simulation of 3D viscoelastic flows with free surfaces
    • Bonito A., Picasso M., Laso M. Numerical simulation of 3D viscoelastic flows with free surfaces. Journal of Computational Physics 2006, 215(2):691-716.
    • (2006) Journal of Computational Physics , vol.215 , Issue.2 , pp. 691-716
    • Bonito, A.1    Picasso, M.2    Laso, M.3
  • 75
    • 36049037615 scopus 로고    scopus 로고
    • An incompressible SPH method for simulation of unsteady viscoelastic free-surface flows
    • Rafiee A., Manzari M.T., Hosseini M. An incompressible SPH method for simulation of unsteady viscoelastic free-surface flows. International Journal of Non-Linear Mechanics 2007, 42(10):1210-1223.
    • (2007) International Journal of Non-Linear Mechanics , vol.42 , Issue.10 , pp. 1210-1223
    • Rafiee, A.1    Manzari, M.T.2    Hosseini, M.3
  • 76
    • 0001105208 scopus 로고
    • There is more than one way to frame a curve
    • Bishop R. There is more than one way to frame a curve. The American Mathematical Monthly 1975, 83:246-251.
    • (1975) The American Mathematical Monthly , vol.83 , pp. 246-251
    • Bishop, R.1
  • 78
    • 22944459180 scopus 로고    scopus 로고
    • Evaluating changes of writhe in computer simulations of supercoiled DNA
    • de Vries R. Evaluating changes of writhe in computer simulations of supercoiled DNA. The Journal of Chemical Physics 2005, 122:064905.
    • (2005) The Journal of Chemical Physics , vol.122 , pp. 064905
    • de Vries, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.