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Volumn 123, Issue 2-3, 2004, Pages 85-103

A numerical method for solving three-dimensional generalized Newtonian free surface flows

Author keywords

Analytic solution; Finite difference; Free surface flow; Generalized Newtonian fluid

Indexed keywords

BUCKLING; FLUID MECHANICS; NUMERICAL ANALYSIS; SURFACE TREATMENT; VISCOSITY;

EID: 8844239974     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2004.06.012     Document Type: Article
Times cited : (44)

References (50)
  • 1
    • 0003841954 scopus 로고
    • The SMAC method: A numerical technique for calculating incompressible fluid flow
    • Report LA-4370, Los Alamos Scientific Laboratory
    • A.A. Amsden, F.H. Harlow, The SMAC method: A numerical technique for calculating incompressible fluid flow, Report LA-4370, Los Alamos Scientific Laboratory, 1970.
    • (1970)
    • Amsden, A.A.1    Harlow, F.H.2
  • 3
    • 0019387175 scopus 로고
    • Long-range memory effects in flows involving abrupt changes in geometry. Part IV. Numerical simulation using integral rheological models
    • H. Court A.R. Davies K. Walters Long-range memory effects in flows involving abrupt changes in geometry. Part IV. Numerical simulation using integral rheological models J. Non-Newtonian Fluid Mech. 8 1981 95-117
    • (1981) J. Non-Newtonian Fluid Mech. , vol.8 , pp. 95-117
    • Court, H.1    Davies, A.R.2    Walters, K.3
  • 5
    • 0023797743 scopus 로고
    • Low-Reynolds-number instabilities in stagnating jet flows
    • J.O. Cruickshank Low-Reynolds-number instabilities in stagnating jet flows J. Fluid Mech. 193 1988 111-127
    • (1988) J. Fluid Mech. , vol.193 , pp. 111-127
    • Cruickshank, J.O.1
  • 6
    • 0019684858 scopus 로고
    • Viscous-fluid buckling of plane and axisymmetric jets
    • J.O. Cruickshank B.R. Munson Viscous-fluid buckling of plane and axisymmetric jets J. Fluid Mech. 113 1981 111-127
    • (1981) J. Fluid Mech. , vol.113 , pp. 111-127
    • Cruickshank, J.O.1    Munson, B.R.2
  • 10
    • 33749190078 scopus 로고
    • Numerical calculation of time-dependent viscous incompressible flow of fluid with a free surface
    • F. Harlow J.E. Welch Numerical calculation of time-dependent viscous incompressible flow of fluid with a free surface Phys. Fluids 8 1965 2182-2189
    • (1965) Phys. Fluids , vol.8 , pp. 2182-2189
    • Harlow, F.1    Welch, J.E.2
  • 11
    • 0033572189 scopus 로고    scopus 로고
    • Numerical simulation of Weissenberg phenomena - The rod-climbing of viscoelastic fluids
    • X.-L. Luo Numerical simulation of Weissenberg phenomena - the rod-climbing of viscoelastic fluids Comput. Methods Appl. Mech. Eng. 180 1999 393-412
    • (1999) Comput. Methods Appl. Mech. Eng. , vol.180 , pp. 393-412
    • Luo, X.-L.1
  • 14
    • 0346957816 scopus 로고
    • Local existence of solutions of the Dirichlet initial-boundary value problem for incompressible hypoelastic materials
    • M. Renardy Local existence of solutions of the Dirichlet initial-boundary value problem for incompressible hypoelastic materials SIAM J. Math. Anal. 21 1990 1369-1385
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 1369-1385
    • Renardy, M.1
  • 15
    • 0028389022 scopus 로고
    • Explicit numerical simulation of time-dependent viscoelastic flow problems by a finite element/finite volume method
    • T. Sato S.M. Richardson Explicit numerical simulation of time-dependent viscoelastic flow problems by a finite element/finite volume method J. Non-Newtonian Fluid Mech. 51 1994 249-275
    • (1994) J. Non-Newtonian Fluid Mech. , vol.51 , pp. 249-275
    • Sato, T.1    Richardson, S.M.2
  • 18
    • 0029657340 scopus 로고    scopus 로고
    • A numerical technique for solving unsteady non-Newtonian free surface flows
    • M.F. Tomé B. Duffy S. McKee A numerical technique for solving unsteady non-Newtonian free surface flows J. Non-Newtonian Fluid Mech. 62 1996 9-34
    • (1996) J. Non-Newtonian Fluid Mech. , vol.62 , pp. 9-34
    • Tomé, M.F.1    Duffy, B.2    McKee, S.3
  • 19
    • 0003916988 scopus 로고    scopus 로고
    • GENSMAC3D: Implementation of the Navier-Stokes equations and boundary conditions for 3D free surface flows
    • Notas do ICMC no. 29, Departamento de Ciência de Computação e Estatística, Universidade de São Paulo
    • M.F. Tomé, A. Castelo, J.A. Cuminato, S. McKee, GENSMAC3D: implementation of the Navier-Stokes equations and boundary conditions for 3D free surface flows, Notas do ICMC no. 29, Departamento de Ciência de Computação e Estatística, Universidade de São Paulo, 1996.
    • (1996)
    • Tomé, M.F.1    Castelo, A.2    Cuminato, J.A.3    McKee, S.4
  • 21
    • 0033616536 scopus 로고    scopus 로고
    • Numerical simulation of viscous flow: Buckling of planar jets
    • M.F. Tomé S. McKee Numerical simulation of viscous flow: Buckling of planar jets Int. J. Numer. Methods Fluids 29 1999 705-718
    • (1999) Int. J. Numer. Methods Fluids , vol.29 , pp. 705-718
    • Tomé, M.F.1    McKee, S.2
  • 23
    • 28144452717 scopus 로고
    • GENSMAC: A computational marker-and-cell method for free surface flows in general domains
    • M.F. Tomé S. McKee GENSMAC: A computational marker-and-cell method for free surface flows in general domains J. Comput. Phys. 110 1994 171-186
    • (1994) J. Comput. Phys. , vol.110 , pp. 171-186
    • Tomé, M.F.1    McKee, S.2
  • 25
    • 0031898110 scopus 로고    scopus 로고
    • Development and assessment of a variable-order non-oscillatory scheme for convection term discretization
    • A. Varonos G. Bergeles Development and assessment of a variable-order non-oscillatory scheme for convection term discretization Int. J. Numer. Methods Fluids 26 1998 1-16
    • (1998) Int. J. Numer. Methods Fluids , vol.26 , pp. 1-16
    • Varonos, A.1    Bergeles, G.2
  • 26
    • 0029360940 scopus 로고
    • Numerical study of secondary flows of viscoelastic fluid in straight pipes by an implicit finite volume method
    • S.-C. Xue N. Phan-Thien R.I. Tanner Numerical study of secondary flows of viscoelastic fluid in straight pipes by an implicit finite volume method J. Non-Newtonian Fluid Mech. 59 1995 191-213
    • (1995) J. Non-Newtonian Fluid Mech. , vol.59 , pp. 191-213
    • Xue, S.-C.1    Phan-Thien, N.2    Tanner, R.I.3
  • 27
    • 0033572592 scopus 로고    scopus 로고
    • Three-dimensional numerical simulation of viscoelastic flow - Predictability and accuracy
    • S.-C. Xue R.I. Tanner N. Phan-Thien Three-dimensional numerical simulation of viscoelastic flow - predictability and accuracy Comput. Methods Appl. Mech. Eng. 180 1999 305-331
    • (1999) Comput. Methods Appl. Mech. Eng. , vol.180 , pp. 305-331
    • Xue, S.-C.1    Tanner, R.I.2    Phan-Thien, N.3
  • 28
    • 0002704821 scopus 로고
    • Simulation of viscoelastic fluid flow
    • C.L. Tucker (Ed.) Hauser Publishers Munich
    • R. Keunings Simulation of viscoelastic fluid flow In: C.L. Tucker (Ed.) Fundamentals of Computer Modeling for Polymer Processing 1989 Hauser Publishers Munich 404-469
    • (1989) Fundamentals of Computer Modeling for Polymer Processing , pp. 404-469
    • Keunings, R.1
  • 29
    • 8844232571 scopus 로고    scopus 로고
    • Finite element methods for integral viscoelastic fluids
    • Keynote Lecture at the Eighth International Symposium on Computational Fluid Dynamics Bremen, Germany 5-10 September
    • R. Keunings Finite element methods for integral viscoelastic fluids in: Keynote Lecture at the Eighth International Symposium on Computational Fluid Dynamics Bremen, Germany 5-10 September 1999
    • (1999)
    • Keunings, R.1
  • 32
    • 0032598403 scopus 로고    scopus 로고
    • Structure and dynamics of dilute polymer solutions under shear flow via nonequilibrium molecular dynamics
    • C. Aust M. Kroger S. Hess Structure and dynamics of dilute polymer solutions under shear flow via nonequilibrium molecular dynamics Macromolecules 32 1999 5660-5672
    • (1999) Macromolecules , vol.32 , pp. 5660-5672
    • Aust, C.1    Kroger, M.2    Hess, S.3
  • 35
    • 0032861665 scopus 로고    scopus 로고
    • On an extension of dissipative particle dynamics for viscoelastic flow modelling
    • B.I.M. ten Bosch On an extension of dissipative particle dynamics for viscoelastic flow modelling J. Non-Newtonian Fluid Mech. 83 1999 231-248
    • (1999) J. Non-Newtonian Fluid Mech. , vol.83 , pp. 231-248
    • ten Bosch, B.I.M.1
  • 36
    • 0007084967 scopus 로고    scopus 로고
    • A lattice boltzmann model for Jeffreys viscoelastic fluid
    • L. Giraud D. d'Humieres P. Lallemand A lattice boltzmann model for Jeffreys viscoelastic fluid Europhys. Lett. 42 1998 615-630
    • (1998) Europhys. Lett. , vol.42 , pp. 615-630
    • Giraud, L.1    d'Humieres, D.2    Lallemand, P.3
  • 37
    • 0032216113 scopus 로고    scopus 로고
    • Mixed finite element methods for viscoelastic flow analysis: A review
    • F.P.T. Baaijens Mixed finite element methods for viscoelastic flow analysis: A review J. Non-Newtonian Fluid Mech. 79 1998 361-385
    • (1998) J. Non-Newtonian Fluid Mech. , vol.79 , pp. 361-385
    • Baaijens, F.P.T.1
  • 38
    • 0032792792 scopus 로고    scopus 로고
    • Rheological characterisation of a high-density polyethylene with a multi-mode differential viscoelastic model and numerical simulation of transient elongational recovery experiments
    • F. Langouche B. Debbaut Rheological characterisation of a high-density polyethylene with a multi-mode differential viscoelastic model and numerical simulation of transient elongational recovery experiments Rheol. Acta 38 1999 48-64
    • (1999) Rheol. Acta , vol.38 , pp. 48-64
    • Langouche, F.1    Debbaut, B.2
  • 39
    • 0032215865 scopus 로고    scopus 로고
    • Extensional deformation, stress relaxation and necking failure of viscoelastic filaments
    • M. Yao G.H. McKinley B. Debbaut Extensional deformation, stress relaxation and necking failure of viscoelastic filaments J. Non-Newtonian Fluid Mech. 79 1998 469-501
    • (1998) J. Non-Newtonian Fluid Mech. , vol.79 , pp. 469-501
    • Yao, M.1    McKinley, G.H.2    Debbaut, B.3
  • 40
    • 0032419921 scopus 로고    scopus 로고
    • Three-dimensional viscoelastic numerical analysis of the encapsulation phenomena in co-extrusion
    • M. Takase S. Kihara K. Funatsu Three-dimensional viscoelastic numerical analysis of the encapsulation phenomena in co-extrusion Rheol. Acta 37 1998 624-634
    • (1998) Rheol. Acta , vol.37 , pp. 624-634
    • Takase, M.1    Kihara, S.2    Funatsu, K.3
  • 41
    • 0026858867 scopus 로고
    • On the numerical simulation of axisymmetric swirling flows of differential viscoelastic liquids: The rod climbing and the Quelleffekt
    • B. Debbaut B. Hocq On the numerical simulation of axisymmetric swirling flows of differential viscoelastic liquids: The rod climbing and the Quelleffekt J. Non-Newtonian Fluid Mech. 43 1992 103-126
    • (1992) J. Non-Newtonian Fluid Mech. , vol.43 , pp. 103-126
    • Debbaut, B.1    Hocq, B.2
  • 42
    • 0029326647 scopus 로고
    • Isothermal gas-assisted displacement of viscoelastic liquids in tubes
    • A.J. Polinski P.R. Oehler V.K. Stakes Isothermal gas-assisted displacement of viscoelastic liquids in tubes Polym. Eng. Sci. 35 1 1995 877-892
    • (1995) Polym. Eng. Sci. , vol.35 , Issue.1 , pp. 877-892
    • Polinski, A.J.1    Oehler, P.R.2    Stakes, V.K.3
  • 43
    • 0035331196 scopus 로고    scopus 로고
    • Numerical simulation of moving free surface problems in polymer processing using volume-of-fluid method
    • J.M. Kim K.H. Ahn S.J. Lee Numerical simulation of moving free surface problems in polymer processing using volume-of-fluid method Polym. Eng. Sci. 41 5 2001 858-866
    • (2001) Polym. Eng. Sci. , vol.41 , Issue.5 , pp. 858-866
    • Kim, J.M.1    Ahn, K.H.2    Lee, S.J.3
  • 44
  • 45
    • 0023981312 scopus 로고
    • Transient deformation of an inviscid inclusion in a viscoelastic extensional flow
    • D.W. Bousfield R. Keunings M.M. Denn Transient deformation of an inviscid inclusion in a viscoelastic extensional flow J. Non-Newtonian Fluid Mech. 27 1988 207-221
    • (1988) J. Non-Newtonian Fluid Mech. , vol.27 , pp. 207-221
    • Bousfield, D.W.1    Keunings, R.2    Denn, M.M.3
  • 46
    • 0001657651 scopus 로고    scopus 로고
    • Advances in the computer modeling of the flow of polymeric liquids
    • R. Keunings Advances in the computer modeling of the flow of polymeric liquids Comput. Fluid Dyn. J. 9 2001 449-458
    • (2001) Comput. Fluid Dyn. J. , vol.9 , pp. 449-458
    • Keunings, R.1
  • 47
    • 0029386239 scopus 로고
    • A split Lagrangian-Eulerian method for simulating transient viscoelastic flows
    • O.G. Halen J.M. Rallison P. Szabo A split Lagrangian-Eulerian method for simulating transient viscoelastic flows J. Non-Newtonian Fluid Mech. 60 1995 81-104
    • (1995) J. Non-Newtonian Fluid Mech. , vol.60 , pp. 81-104
    • Halen, O.G.1    Rallison, J.M.2    Szabo, P.3
  • 48
    • 0034253429 scopus 로고    scopus 로고
    • Lagrangian viscoelastic flow computations using the Rivlin-Sawyers constitutive model
    • H.K. Rasmussen Lagrangian viscoelastic flow computations using the Rivlin-Sawyers constitutive model J. Non-Newtonian Fluid Mech. 92 2000 227-243
    • (2000) J. Non-Newtonian Fluid Mech. , vol.92 , pp. 227-243
    • Rasmussen, H.K.1
  • 49
    • 0037144864 scopus 로고    scopus 로고
    • Lagrangian viscoelastic flow computations using a generalized molecular stress function model
    • H.K. Rasmussen Lagrangian viscoelastic flow computations using a generalized molecular stress function model J. Non-Newtonian Fluid Mech. 106 2002 107-120
    • (2002) J. Non-Newtonian Fluid Mech. , vol.106 , pp. 107-120
    • Rasmussen, H.K.1


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