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Volumn 147, Issue 1-2, 1997, Pages 41-60

Finite element modelling of surface tension effects using a Lagrangian-Eulerian kinematic description

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CAPILLARY TUBES; COMPUTER SIMULATION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; WETTING;

EID: 0031189280     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00017-0     Document Type: Article
Times cited : (47)

References (42)
  • 2
    • 0007208618 scopus 로고
    • Finite element free surface flow analysis: A new tool for foundry engineers
    • T.S. Piwonka, V. Voller and L. Katgermann, eds., (Palm Coast, Florida), The Minerals, Metals and Materials Society, ISBN-0-87339-209-4
    • G.P. Backer, Finite element free surface flow analysis: A new tool for foundry engineers, in T.S. Piwonka, V. Voller and L. Katgermann, eds., Modelling of Casting, Welding and Advanced Solidification Processes VI, (Palm Coast, Florida), 1993 21-26. The Minerals, Metals and Materials Society, ISBN-0-87339-209-4.
    • (1993) Modelling of Casting, Welding and Advanced Solidification Processes , vol.6 , pp. 21-26
    • Backer, G.P.1
  • 3
    • 28144462923 scopus 로고
    • A continuum method for modelling surface tension
    • J.U. Brackbill, D.B. Kothe and C. Zemach, A continuum method for modelling surface tension, J. Comput. Phys. 100 (1992) 335-354.
    • (1992) J. Comput. Phys. , vol.100 , pp. 335-354
    • Brackbill, J.U.1    Kothe, D.B.2    Zemach, C.3
  • 4
    • 0026947463 scopus 로고
    • RIPPLE: A new model for incompressible flow with free surfaces
    • J.U. Brackbill, D.B. Kothe and C. Zemach. RIPPLE: A new model for incompressible flow with free surfaces, AIAA 30 (1992) 2694-2700.
    • (1992) AIAA , vol.30 , pp. 2694-2700
    • Brackbill, J.U.1    Kothe, D.B.2    Zemach, C.3
  • 5
    • 0016535259 scopus 로고
    • A theoretical model for cavity filling process in injection molding
    • E. Broyer, C. Gutfinger and Z. Tadmore, A theoretical model for cavity filling process in injection molding, Trans. Soc. Rehol. 19 (1975) 423-444.
    • (1975) Trans. Soc. Rehol. , vol.19 , pp. 423-444
    • Broyer, E.1    Gutfinger, C.2    Tadmore, Z.3
  • 6
    • 0004226334 scopus 로고
    • Butterworth-Heinemann Ltd.
    • J. Campbell, Castings, (Butterworth-Heinemann Ltd., 1991).
    • (1991) Castings
    • Campbell, J.1
  • 8
    • 0020860514 scopus 로고
    • Arbitrary Lagrangian-Eulerian finite element methods
    • Elsevier, Armsterdam
    • J. Donea, Arbitrary Lagrangian-Eulerian finite element methods, in: Comput. Methods Trans. Analyses (Elsevier, Armsterdam, 1983) 474-516.
    • (1983) Comput. Methods Trans. Analyses , pp. 474-516
    • Donea, J.1
  • 12
    • 0042736763 scopus 로고
    • A comparison of implicit and explicit solution techniques and results in numerical casting simulations
    • T.S. Piwonka, V. Voller and L. Katgermann, eds., Palm Coast, Florida, The Minerals, Metals and Materials Society, ISBN-0-87339-209-4
    • J.R. Hartin, A comparison of implicit and explicit solution techniques and results in numerical casting simulations, in T.S. Piwonka, V. Voller and L. Katgermann, eds., Modelling of Casting, Welding and Advanced Solidification Processes VI Palm Coast, Florida, 1993) 373-380. The Minerals, Metals and Materials Society, ISBN-0-87339-209-4.
    • (1993) Modelling of Casting, Welding and Advanced Solidification Processes , vol.6 , pp. 373-380
    • Hartin, J.R.1
  • 13
    • 17144456156 scopus 로고
    • An arbitrary Lagrangian-Eulerian computing method for all flow speeds
    • C.W. Hirt, A.A. Amsden and J.L. Cook, An arbitrary Lagrangian-Eulerian computing method for all flow speeds, J. Comput. Phys. 14 (1974) 227-253.
    • (1974) J. Comput. Phys. , vol.14 , pp. 227-253
    • Hirt, C.W.1    Amsden, A.A.2    Cook, J.L.3
  • 15
    • 0039140954 scopus 로고
    • Modelling of fluid flow during mould filling
    • T.S. Piwonka, V. Voller and L. Katgermann, eds., Palm Coast, Florida, The Minerals, Metals and Materials Society, ISBN-0-87339-209-4
    • G. Kreziak, P. Gilotte and R. Hamar, Modelling of fluid flow during mould filling, in: T.S. Piwonka, V. Voller and L. Katgermann, eds., Modelling of Casting, Welding and Advanced Solidification Processes VI (Palm Coast, Florida, 1993) 435-442.. The Minerals, Metals and Materials Society, ISBN-0-87339-209-4.
    • (1993) Modelling of Casting, Welding and Advanced Solidification Processes , vol.6 , pp. 435-442
    • Kreziak, G.1    Gilotte, P.2    Hamar, R.3
  • 16
    • 0004168443 scopus 로고
    • Cambridge University Press, Cambridge, UK
    • Lamb, Hydrodynamics, 6th edn. (Cambridge University Press, Cambridge, UK, 1932).
    • (1932) Hydrodynamics, 6th Edn.
    • Lamb1
  • 19
    • 0041735374 scopus 로고    scopus 로고
    • A mixed Lagrangian-Eulerian approach to the modelling of fluid flow during mould filling
    • Technical Report No. CR/919/96, Department of Civil Engineering, University of Wales, Swansea, April Accepted for publication in
    • R.W. Lewis, S.E. Navti and C. Taylor, A Mixed Lagrangian-Eulerian approach to the modelling of fluid flow during mould filling, Technical Report No. CR/919/96, Department of Civil Engineering, University of Wales, Swansea, April 1996. (Accepted for publication in International Journal for Numerical Methods in Fluids.)
    • (1996) International Journal for Numerical Methods in Fluids
    • Lewis, R.W.1    Navti, S.E.2    Taylor, C.3
  • 20
    • 0041735373 scopus 로고
    • Numerical simulation of an integrated filling-solidification casting system
    • T.S. Piwonka, V. Voller and L. Katgermann, eds.. Palm Coast, Florida, The Minerals, Metals and Materials Society, ISBN-0-87339-209-4
    • H.J. Lin and H.L. Tsai, Numerical simulation of an integrated filling-solidification casting system, in: T.S. Piwonka, V. Voller and L. Katgermann, eds.. Modelling of Casting, Welding and Advanced Solidification Processes VI. (Palm Coast, Florida, 1993). 380-388. The Minerals, Metals and Materials Society, ISBN-0-87339-209-4,
    • (1993) Modelling of Casting, Welding and Advanced Solidification Processes , vol.6 , pp. 380-388
    • Lin, H.J.1    Tsai, H.L.2
  • 21
    • 0010057902 scopus 로고
    • Numerical modelling of the filling sequence and solidification of castings
    • T.S. Piwonka, V. Voller and L. Katgermann, eds., Palm Coast, Florida, The Minerals, Metals and Materials Society, ISBN-0-87339-209-4
    • D.M. Lipinski, W. Schaefer and E. Flender, Numerical modelling of the filling sequence and solidification of castings, in: T.S. Piwonka, V. Voller and L. Katgermann, eds., Modelling of Casting, Welding and Advanced Solidification Processes VI (Palm Coast, Florida, 1993). 389-396. The Minerals, Metals and Materials Society, ISBN-0-87339-209-4.
    • (1993) Modelling of Casting, Welding and Advanced Solidification Processes , vol.6 , pp. 389-396
    • Lipinski, D.M.1    Schaefer, W.2    Flender, E.3
  • 23
    • 0027608057 scopus 로고
    • Lagrangian finite element analysis of time dependent viscous free surface flow using an automatic remeshing technique: Applied to casting flow
    • F. Muttin, T. Coupez, M. Bellet and J.L.C. Chenot, Lagrangian finite element analysis of time dependent viscous free surface flow using an automatic remeshing technique: applied to casting flow, Int. J. Numer. Methods Engrg. 36 (1993) 2001-2015.
    • (1993) Int. J. Numer. Methods Engrg. , vol.36 , pp. 2001-2015
    • Muttin, F.1    Coupez, T.2    Bellet, M.3    Chenot, J.L.C.4
  • 25
    • 0018519563 scopus 로고
    • Thermodynamics and dynamics of pure interfaces
    • L.G. Napolitano, Thermodynamics and dynamics of pure interfaces, Acta Astron 6 (1978) 1093-1112.
    • (1978) Acta Astron , vol.6 , pp. 1093-1112
    • Napolitano, L.G.1
  • 28
    • 0009788694 scopus 로고
    • Modelling of fluid flow and solidification in casting
    • T.S. Piwonka, V. Voller and L. Katgermann, eds., Palm Coast, Florida, The Minerals, Metals and Materials Society, ISBN-0-87339-209-4
    • I. Ohnaka, Modelling of fluid flow and solidification in casting, in: T.S. Piwonka, V. Voller and L. Katgermann, eds., Modelling of Casting, Welding and Advanced Solidification Processes VI (Palm Coast, Florida, 1993). 337-348. The Minerals, Metals and Materials Society, ISBN-0-87339-209-4.
    • (1993) Modelling of Casting, Welding and Advanced Solidification Processes , vol.6 , pp. 337-348
    • Ohnaka, I.1
  • 32
    • 0022797388 scopus 로고
    • Arbitrary Lagrangian-Eulerian finite element method for unsteady, convective, incompressible viscous free surface flow
    • B. Ramaswamy and M. Kawahara, Arbitrary Lagrangian-Eulerian finite element method for unsteady, convective, incompressible viscous free surface flow, Int. J. Numer. Methods. Fluids., 7 (1987) 1053-1074.
    • (1987) Int. J. Numer. Methods. Fluids , vol.7 , pp. 1053-1074
    • Ramaswamy, B.1    Kawahara, M.2
  • 33
    • 85040305756 scopus 로고
    • Coating flow theory by finite element and asymptotic analysis of the Navier-Stokes system
    • T. Tawai, ed., North-Holland, Amsterdam
    • L.E. Scriven and S.F. Kistler, Coating flow theory by finite element and asymptotic analysis of the Navier-Stokes system, in: T. Tawai, ed., 4th Int. Symp., Tokyo, Finite Element Flow Analysis (North-Holland, Amsterdam, 1982) 503-510.
    • (1982) 4th Int. Symp., Tokyo, Finite Element Flow Analysis , pp. 503-510
    • Scriven, L.E.1    Kistler, S.F.2
  • 34
    • 0041735371 scopus 로고
    • Numerical modelling of filling and solidification in metal casting processes; a unified approach
    • R.W. Lewis, ed., Swansea, UK, 12-16 July ISBN-0-906674-80-8
    • C.R. Swaminathan and V. Voller, Numerical modelling of filling and solidification in metal casting processes; a unified approach, in: R.W. Lewis, ed., International Conference for Numerical Methods in Thermal Problems VIII, Swansea, UK, 12-16 July 1993, ISBN-0-906674-80-8, pp. 284-296.
    • (1993) International Conference for Numerical Methods in Thermal Problems , vol.8 , pp. 284-296
    • Swaminathan, C.R.1    Voller, V.2
  • 35
    • 0043238012 scopus 로고
    • Fluid flow and heat transfer modelling of mould filling in casting processes
    • R.W. Lewis, ed., Swansea, UK, 12-16 July ISBN-0-906674-80-8
    • M.R. Tadayon, J.A. Spittle and S.G.R. Brown, Fluid flow and heat transfer modelling of mould filling in casting processes, in: R.W. Lewis, ed., International Conference for Numerical Methods in Thermal Problems VIII, Swansea, UK, 12-16 July 1993, ISBN-0-906674-80-8, pp. 309-317.
    • (1993) International Conference for Numerical Methods in Thermal Problems , vol.8 , pp. 309-317
    • Tadayon, M.R.1    Spittle, J.A.2    Brown, S.G.R.3
  • 37
    • 0026916272 scopus 로고
    • A finite element model for the simulations of mould filling in metal casting and associated heat transfer
    • A.S. Usmani, J.T. Cross and R.W. Lewis, A finite element model for the simulations of mould filling in metal casting and associated heat transfer, Int. J. Numer. Methods. Engrg., 35 (1992) 787-806.
    • (1992) Int. J. Numer. Methods. Engrg. , vol.35 , pp. 787-806
    • Usmani, A.S.1    Cross, J.T.2    Lewis, R.W.3
  • 38
    • 0007340623 scopus 로고
    • Finite element free surface modelling
    • T.S. Piwonka, V. Voller and L. Katgermann, eds., Palm Coast, Florida, The Minerals, Metals and Materials Society, ISBN-0-87339-209-4
    • D.M. Waite and T.M. Sammonds, Finite element free surface modelling, in: T.S. Piwonka, V. Voller and L. Katgermann, eds., Modelling of Casting, Welding and Advanced Solidification Processes VI (Palm Coast, Florida, 1993) 357-364. The Minerals, Metals and Materials Society, ISBN-0-87339-209-4.
    • (1993) Modelling of Casting, Welding and Advanced Solidification Processes , vol.6 , pp. 357-364
    • Waite, D.M.1    Sammonds, T.M.2
  • 39
    • 0028410783 scopus 로고
    • A net inflow method for incompressible viscous flow with moving free surface
    • S.P. Wang and K.K. Wang, A net inflow method for incompressible viscous flow with moving free surface, Int. J. Numer. Methods in Heat and Fluid Flow 18 (1994) 669-694.
    • (1994) Int. J. Numer. Methods in Heat and Fluid Flow , vol.18 , pp. 669-694
    • Wang, S.P.1    Wang, K.K.2
  • 41
    • 0039733413 scopus 로고
    • Casting filling simulation of thin-walled cavities with solidification
    • T.S. Piwonka, V. Voller and L. Katgermann, eds., Palm Coast, Florida, The Minerals, Metals and Materials Society, ISBN-0-87339-209-4
    • Y.F. Zhang and W.K. Liu, Casting filling simulation of thin-walled cavities with solidification, in: T.S. Piwonka, V. Voller and L. Katgermann, eds., Modelling of Casting, Welding and Advanced Solidification Processes VI (Palm Coast, Florida, 1993) 413-420. The Minerals, Metals and Materials Society, ISBN-0-87339-209-4.
    • (1993) Modelling of Casting, Welding and Advanced Solidification Processes , vol.6 , pp. 413-420
    • Zhang, Y.F.1    Liu, W.K.2
  • 42
    • 0024734081 scopus 로고
    • Error estimates and convergence rates for various incompressible elements
    • O.C. Zienkiewicz, Y.C. Liu and G.C. Huang, Error estimates and convergence rates for various incompressible elements, Int. J. Numer. Methods Engrg. 28 (1989) 2191-2202.
    • (1989) Int. J. Numer. Methods Engrg. , vol.28 , pp. 2191-2202
    • Zienkiewicz, O.C.1    Liu, Y.C.2    Huang, G.C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.