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Volumn 108, Issue 1-3, 2002, Pages 73-97

A variable order spectral element scheme applied to the velocity-pressure-total-stress formulation of the upper convected Maxwell model

Author keywords

Contraction flow; Discontinuous Galerkin; Spectral element method; Upper convected Maxwell model; Variable order; Viscoelastic flow

Indexed keywords

APPROXIMATION THEORY; HEAT CONVECTION; MAXWELL EQUATIONS; POLYNOMIALS; PRESSURE EFFECTS; STRESS ANALYSIS; VISCOELASTICITY;

EID: 0037203455     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(02)00125-8     Document Type: Article
Times cited : (3)

References (28)
  • 1
    • 0028404378 scopus 로고
    • Spectral elements for viscoelastic flows with change of type
    • V. van Kemenade, M.O. Deville, Spectral elements for viscoelastic flows with change of type, J. Rheol. 38 (1994) 291-307.
    • (1994) J. Rheol. , vol.38 , pp. 291-307
    • van Kemenade, V.1    Deville, M.O.2
  • 2
    • 0028389024 scopus 로고
    • Application of spectral elements to viscoelastic creeping flows
    • V. van Kemenade, M.O. Deville, Application of spectral elements to viscoelastic creeping flows, J. Non-Newtonian Fluid Mech. 51 (1994) 277-308.
    • (1994) J. Non-Newtonian Fluid Mech. , vol.51 , pp. 277-308
    • van Kemenade, V.1    Deville, M.O.2
  • 3
    • 0023452123 scopus 로고
    • A new mixed finite element method for calculating viscoelastic flow
    • J.M. Marchal, M.J. Crochet, A new mixed finite element method for calculating viscoelastic flow, J. Non-Newtonian Fluid Mech. 26 (1987) 77-114.
    • (1987) J. Non-Newtonian Fluid Mech. , vol.26 , pp. 77-114
    • Marchal, J.M.1    Crochet, M.J.2
  • 4
    • 0019607241 scopus 로고
    • Streamline upwind Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • A.N. Brooks, T.J.R. Hughes, Streamline upwind Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Eng. 32 (1982) 199-259.
    • (1982) Comput. Methods Appl. Mech. Eng. , vol.32 , pp. 199-259
    • Brooks, A.N.1    Hughes, T.J.R.2
  • 5
    • 0035957615 scopus 로고    scopus 로고
    • A new spectral element method for the reliable computation of viscoelastic flow
    • C. Chauviere, R.G. Owens, A new spectral element method for the reliable computation of viscoelastic flow, Comput. Methods Appl. Mech. Eng. 190 (2001) 3999-4018.
    • (2001) Comput. Methods Appl. Mech. Eng. , vol.190 , pp. 3999-4018
    • Chauvière, C.1    Owens, R.G.2
  • 6
    • 0029379966 scopus 로고
    • A new finite element method for computing viscoelastic flows
    • R. Guenette, M. Fortin, A new finite element method for computing viscoelastic flows, J. Non-Newtonian Fluid Mech. 60 (1995) 27-52.
    • (1995) J. Non-Newtonian Fluid Mech. , vol.60 , pp. 27-52
    • Guénette, R.1    Fortin, M.2
  • 7
    • 0024702169 scopus 로고
    • A new approach for the FEM simulation of viscoelastic flows
    • M. Fortin, A. Fortin, A new approach for the FEM simulation of viscoelastic flows, J. Non-Newtonian Fluid Mech. 32 (1989) 295-310.
    • (1989) J. Non-Newtonian Fluid Mech. , vol.32 , pp. 295-310
    • Fortin, M.1    Fortin, A.2
  • 8
    • 0032030031 scopus 로고    scopus 로고
    • An iterative solver for the DEVSS/DG method with application to smooth and non-smooth flows of the upper convected Maxwell fluid
    • F.P.T. Baaijens, An iterative solver for the DEVSS/DG method with application to smooth and non-smooth flows of the upper convected Maxwell fluid, J. Non-Newtonian Fluid Mech. 75 (1998) 49-74.
    • (1998) J. Non-Newtonian Fluid Mech. , vol.75 , pp. 49-74
    • Baaijens, F.P.T.1
  • 9
    • 0033619066 scopus 로고    scopus 로고
    • Finite element method for viscoelastic flows based on the discrete adaptive viscoelastic stress splitting and the discontinuous Galerkin method: DAVSS/DG
    • J. Sun, M.D. Smith, R.C. Armstrong, R.A. Brown, Finite element method for viscoelastic flows based on the discrete adaptive viscoelastic stress splitting and the discontinuous Galerkin method: DAVSS/DG, J. Non-Newtonian Fluid Mech. 86 (1999) 281-307.
    • (1999) J. Non-Newtonian Fluid Mech. , vol.86 , pp. 281-307
    • Sun, J.1    Smith, M.D.2    Armstrong, R.C.3    Brown, R.A.4
  • 10
    • 0033567393 scopus 로고    scopus 로고
    • Galerkin/least-square finite element methods for steady viscoelastic flows
    • Y. Fan, R.I. Tanner, N. Phan-Thien, Galerkin/least-square finite element methods for steady viscoelastic flows, J. Non-Newtonian Fluid Mech. 84 (1999) 233-256.
    • (1999) J. Non-Newtonian Fluid Mech. , vol.84 , pp. 233-256
    • Fan, Y.1    Tanner, R.I.2    Phan-Thien, N.3
  • 11
    • 0025474324 scopus 로고
    • Finite element methods for calculation of steady, viscoelastic flow using constitutive equations with a Newtonian viscosity
    • D. Rajagopalan, R.A. Brown, R.C. Armstrong, Finite element methods for calculation of steady, viscoelastic flow using constitutive equations with a Newtonian viscosity, J. Non-Newtonian Fluid Mech. 36 (1990) 159-192.
    • (1990) J. Non-Newtonian Fluid Mech. , vol.36 , pp. 159-192
    • Rajagopalan, D.1    Brown, R.A.2    Armstrong, R.C.3
  • 12
    • 0030198850 scopus 로고    scopus 로고
    • An adaptive viscoelastic stress splitting scheme and its applications: AVSS/SI and AVSS/SUPG
    • J. Sun, N. Phan-Thien, R.I. Tanner, An adaptive viscoelastic stress splitting scheme and its applications: AVSS/SI and AVSS/SUPG, J. Non-Newtonian Fluid Mech. 65 (1996) 75-91.
    • (1996) J. Non-Newtonian Fluid Mech. , vol.65 , pp. 75-91
    • Sun, J.1    Phan-Thien, N.2    Tanner, R.I.3
  • 13
    • 0024068314 scopus 로고
    • Numerically stable finite element techniques for viscoelastic calculations in smooth and singular geometries
    • R.C. King, M.R. Apelian, R.C. Armstrong, R.A. Brown, Numerically stable finite element techniques for viscoelastic calculations in smooth and singular geometries, J. Non-Newtonian Fluid Mech. 29 (1988) 147-216.
    • (1988) J. Non-Newtonian Fluid Mech. , vol.29 , pp. 147-216
    • King, R.C.1    Apelian, M.R.2    Armstrong, R.C.3    Brown, R.A.4
  • 14
    • 0035312388 scopus 로고    scopus 로고
    • On the use of characteristic variables in viscoelastic flow problems
    • M.I. Gerritsma, T.N. Phillips, On the use of characteristic variables in viscoelastic flow problems, IMA J. Appl. Math. 66 (2001) 127-147.
    • (2001) IMA J. Appl. Math. , vol.66 , pp. 127-147
    • Gerritsma, M.I.1    Phillips, T.N.2
  • 15
    • 0031280126 scopus 로고    scopus 로고
    • Adaptive high-order prediction of the drag correction factor for the upper convected Maxwell fluid
    • V. Warichet, V. Legat, Adaptive high-order prediction of the drag correction factor for the upper convected Maxwell fluid, J. Non-Newtonian Fluid Mech. 73 (1997) 95-114.
    • (1997) J. Non-Newtonian Fluid Mech. , vol.73 , pp. 95-114
    • Warichet, V.1    Legat, V.2
  • 16
    • 0034159349 scopus 로고    scopus 로고
    • A new adaptive modification strategy for numerical solutions to elliptic boundary value problems
    • J.Valenciano, R.G. Owens, Anewadaptive modification strategy for numerical solutions to elliptic boundary value problems, Appl. Num. Math. 32 (2000) 305-329.
    • (2000) Appl. Num. Math. , vol.32 , pp. 305-329
    • Valenciano, J.1    Owens, R.G.2
  • 17
    • 0034190315 scopus 로고    scopus 로고
    • An hp adaptive spectral element method for Stokes flow
    • J. Valenciano, R.G. Owens, An hp adaptive spectral element method for Stokes flow, Appl. Num. Math. 33 (2000) 365-371.
    • (2000) Appl. Num. Math. , vol.33 , pp. 365-371
    • Valenciano, J.1    Owens, R.G.2
  • 18
    • 0001973824 scopus 로고    scopus 로고
    • Spectral element methods for axisymmetric Stokes problems
    • M.I. Gerritsma, T.N. Phillips, Spectral element methods for axisymmetric Stokes problems, J. Comput. Phys. 164 (2000) 81-103.
    • (2000) J. Comput. Phys. , vol.164 , pp. 81-103
    • Gerritsma, M.I.1    Phillips, T.N.2
  • 19
    • 0033279315 scopus 로고
    • Compatible spectral approximations for the velocity-pressure-stress formulation of the Stokes problem
    • M.I. Gerritsma, T.N. Phillips, Compatible spectral approximations for the velocity-pressure-stress formulation of the Stokes problem, SIAM J. Sci. Comput. 20 (1985) 1530-1550.
    • (1985) SIAM J. Sci. Comput. , vol.20 , pp. 1530-1550
    • Gerritsma, M.I.1    Phillips, T.N.2
  • 22
    • 0024917277 scopus 로고
    • Spectral element methods for the incompressible Navier-Stokes equations
    • A.K. Noor, J.T. Oden (Eds.), New York
    • Y. Maday, A.T. Patera, Spectral element methods for the incompressible Navier-Stokes equations, in: A.K. Noor, J.T. Oden (Eds.), State of the Art Surveys in Computational Mechanics ASME, New York, 1989, pp. 71-143.
    • (1989) State of the Art Surveys in Computational Mechanics ASME , pp. 71-143
    • Maday, Y.1    Patera, A.T.2
  • 24
    • 0017828143 scopus 로고
    • The kinematics and stability of die entry flows
    • H. Nguyen, D.V. Boger, The kinematics and stability of die entry flows, J. Non-Newtonian Fluid Mech. 5 (1979) 353-368.
    • (1979) J. Non-Newtonian Fluid Mech. , vol.5 , pp. 353-368
    • Nguyên, H.1    Boger, D.V.2
  • 26
    • 0026837243 scopus 로고
    • Calculation of steady-state viscoelastic flow through axisymmetric contractions with the EEME formulation
    • J. Coates, R.C. Armstrong, R.A. Brown, Calculation of steady-state viscoelastic flow through axisymmetric contractions with the EEME formulation, J. Non-Newtonian Fluid Mech. 42 (1992) 141-188.
    • (1992) J. Non-Newtonian Fluid Mech. , vol.42 , pp. 141-188
    • Coates, J.1    Armstrong, R.C.2    Brown, R.A.3
  • 28
    • 0022319876 scopus 로고
    • On the high Weissenberg number problem
    • R. Keunings, On the high Weissenberg number problem, J. Non-Newtonian Fluid Mech. 20 (1986) 209-226.
    • (1986) J. Non-Newtonian Fluid Mech. , vol.20 , pp. 209-226
    • Keunings, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.