메뉴 건너뛰기




Volumn 201, Issue 1, 2004, Pages 286-314

Spectral element methods for transient viscoelastic flow problems

Author keywords

Oldroyd B; Poiseuille; Transient flow; Viscoelastic fluid

Indexed keywords

BENCHMARKING; NAVIER STOKES EQUATIONS; VISCOELASTICITY;

EID: 13844270717     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.05.016     Document Type: Article
Times cited : (19)

References (34)
  • 1
    • 0037084421 scopus 로고    scopus 로고
    • Non-linear temporal stability analysis of viscoelastic plane channel flow using a fully-spectral method
    • Atalik K. Keunings R. Non-linear temporal stability analysis of viscoelastic plane channel flow using a fully-spectral method J. Non-Newtonian Fluid Mech 102 2002 299-319
    • (2002) J. Non-Newtonian Fluid Mech. , vol.102 , pp. 299-319
    • Atalik, K.1    Keunings, R.2
  • 2
    • 0017532873 scopus 로고
    • A highly elastic constant-viscosity fluid
    • Boger D.V. A highly elastic constant-viscosity fluid J. Non-Newtonian Fluid Mech 3 1977 87-91
    • (1977) J. Non-Newtonian Fluid Mech. , vol.3 , pp. 87-91
    • Boger, D.V.1
  • 3
    • 0024249068 scopus 로고
    • Some fast 3D finite element solvers for the generalized Stokes problem
    • Cahouet J. Chabard J.P. Some fast 3D finite element solvers for the generalized Stokes problem Int. J. Numer. Meth. Fluid 8 1988 869-895
    • (1988) Int. J. Numer. Meth. Fluid , vol.8 , pp. 869-895
    • Cahouet, J.1    Chabard, J.P.2
  • 4
    • 0028391645 scopus 로고
    • Taylor-Galerkin algorithms for viscoelastic flow: Application to a model problem
    • Carew E.O. Townsend P. Webster M.F. Taylor-Galerkin algorithms for viscoelastic flow: Application to a model problem Num. Meth. Part. Diff. Eqns 10 1994 171-190
    • (1994) Num. Meth. Part. Diff. Eqns. , vol.10 , pp. 171-190
    • Carew, E.O.1    Townsend, P.2    Webster, M.F.3
  • 6
    • 0001159513 scopus 로고
    • Domain decomposition algorithms with small overlap
    • Dryja M. Widlund O.B. Domain decomposition algorithms with small overlap SIAM J. Sci. Comput 15 1994 604-620
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 604-620
    • Dryja, M.1    Widlund, O.B.2
  • 7
    • 1942443584 scopus 로고    scopus 로고
    • Preconditioned Uzawa algorithm for the velocity-pressure-stress formulation of viscoelastic flow problems
    • Escriva X. Leriche E. Phillips T.N. Preconditioned Uzawa algorithm for the velocity-pressure-stress formulation of viscoelastic flow problems J. Sci. Comput 17 2002 219-229
    • (2002) J. Sci. Comput. , vol.17 , pp. 219-229
    • Escriva, X.1    Leriche, E.2    Phillips, T.N.3
  • 8
    • 0037456895 scopus 로고    scopus 로고
    • Time-dependent algorithms for the simulation of viscoelastic flows with spectral element methods: Application and stability
    • Fiétier N. Deville M.O. Time-dependent algorithms for the simulation of viscoelastic flows with spectral element methods: application and stability J. Comput. Phys 186 2003 93-121
    • (2003) J. Comput. Phys. , vol.186 , pp. 93-121
    • Fiétier, N.1    Deville, M.O.2
  • 9
    • 4243409965 scopus 로고    scopus 로고
    • Numerical Simulation of Viscoelastic Fluid Flows by Spectral Element Methods and Time-dependent Algorithms
    • Ph.D. Thesis, Ecole Polytechnique Fédérale de Lausanne, Switzerland
    • N. Fiétier, Numerical Simulation of Viscoelastic Fluid Flows by Spectral Element Methods and Time-dependent Algorithms, Ph.D. Thesis, Ecole Polytechnique Fédérale de Lausanne, Switzerland, 2002
    • (2002)
    • Fiétier, N.1
  • 10
    • 0031145109 scopus 로고    scopus 로고
    • An overlapping Schwarz method for spectral element solution of the Navier-Stokes equations
    • Fischer P.F. An overlapping Schwarz method for spectral element solution of the Navier-Stokes equations J. Comput. Phys 133 1997 84-101
    • (1997) J. Comput. Phys. , vol.133 , pp. 84-101
    • Fischer, P.F.1
  • 11
    • 0344527723 scopus 로고    scopus 로고
    • Discontinuous spectral element approximations for the velocity-pressure-stress formulation of the Stokes problem
    • Gerritsma M.I. Phillips T.N. Discontinuous spectral element approximations for the velocity-pressure-stress formulation of the Stokes problem Int. J. Numer. Meth. Eng 43 1998 1404-1419
    • (1998) Int. J. Numer. Meth. Eng. , vol.43 , pp. 1404-1419
    • Gerritsma, M.I.1    Phillips, T.N.2
  • 12
    • 0033279315 scopus 로고    scopus 로고
    • Compatible spectral approximations for the velocity-pressure-stress formulation of the Stokes problem
    • Gerritsma M.I. Phillips T.N. Compatible spectral approximations for the velocity-pressure-stress formulation of the Stokes problem SIAM J. Sci. Comput 20 1999 1530-1550
    • (1999) SIAM J. Sci. Comput. , vol.20 , pp. 1530-1550
    • Gerritsma, M.I.1    Phillips, T.N.2
  • 13
    • 0029379966 scopus 로고
    • A new mixed finite element method for computing viscoelastic flows
    • Guénette R. Fortin M. A new mixed 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
  • 14
    • 0017555102 scopus 로고
    • Stability of plane Poiseuille flow of a highly elastic liquid
    • Ho T.C. Denn M.M. Stability of plane Poiseuille flow of a highly elastic liquid J. Non-Newtonian Fluid Mech 3 1977/1978 179-195
    • (1977) J. Non-Newtonian Fluid Mech. , vol.3 , pp. 179-195
    • Ho, T.C.1    Denn, M.M.2
  • 16
    • 0026890783 scopus 로고
    • Numerical instability of time-dependent flows
    • Keiller R.A. Numerical instability of time-dependent flows J. Non-Newtonian Fluid Mech 43 1992 229-246
    • (1992) J. Non-Newtonian Fluid Mech. , vol.43 , pp. 229-246
    • Keiller, R.A.1
  • 17
    • 33751371137 scopus 로고
    • Instabilities in viscoelastic flows
    • Larson R.G. Instabilities in viscoelastic flows Rheol. Acta 31 1992 213-263
    • (1992) Rheol. Acta , vol.31 , pp. 213-263
    • Larson, R.G.1
  • 18
    • 0022695140 scopus 로고
    • Stability of plane Poiseuille and Couette-flow of a Maxwell fluid
    • Lee K.C. Finlayson B.A. Stability of plane Poiseuille and Couette-flow of a Maxwell fluid J. Non-Newtonian Fluid Mech 21 1986 65-78
    • (1986) J. Non-Newtonian Fluid Mech. , vol.21 , pp. 65-78
    • Lee, K.C.1    Finlayson, B.A.2
  • 19
    • 0043011172 scopus 로고    scopus 로고
    • An energy estimate for the Oldroyd B model: Theory and applications
    • Lozinski A. Owens R.G. An energy estimate for the Oldroyd B model: theory and applications J. Non-Newtonian Fluid Mech 112 2003 161-176
    • (2003) J. Non-Newtonian Fluid Mech. , vol.112 , pp. 161-176
    • Lozinski, A.1    Owens, R.G.2
  • 20
    • 0347643516 scopus 로고    scopus 로고
    • A Well-posed Optimal Spectral Element Approximation for the Stokes Problem
    • ICASE Report 87-48, Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Virginia, USA
    • Y. Maday, A.T. Patera, E.M. Rønquist, A Well-posed Optimal Spectral Element Approximation for the Stokes Problem, ICASE Report 87-48, Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Virginia, USA
    • Maday, Y.1    Patera, A.T.2    Rønquist, E.M.3
  • 21
    • 0024917277 scopus 로고
    • Spectral element methods for the incompressible Navier-Stokes equations
    • A. K. Noor, J. T. Oden (Eds.), New York: ASME
    • Maday Y. Patera A.T. Spectral element methods for the incompressible Navier-Stokes equations in: Noor A.K. Oden J.T. (Eds.), State of the Art Surveys in Computational Mechanics 1989 71-143 ASME New York
    • (1989) State of the Art Surveys in Computational Mechanics , pp. 71-143
    • Maday, Y.1    Patera, A.T.2
  • 22
    • 0025532444 scopus 로고
    • An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow
    • Maday Y. Patera A.T. Rønquist E.M. An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow J. Sci. Comput 5 1990 263-292
    • (1990) J. Sci. Comput. , vol.5 , pp. 263-292
    • Maday, Y.1    Patera, A.T.2    Rønquist, E.M.3
  • 23
    • 0033053960 scopus 로고    scopus 로고
    • Filtering techniques for complex geometry fluid flows
    • Mullen J.S. Fischer P.F. Filtering techniques for complex geometry fluid flows Comm. Numer. Meth. Eng 15 1999 9-18
    • (1999) Comm. Numer. Meth. Eng. , vol.15 , pp. 9-18
    • Mullen, J.S.1    Fischer, P.F.2
  • 25
    • 0017416036 scopus 로고
    • Long-range memory effects in flows involving abrupt changes in geometry.Part I: Flows associated with L-shaped and T-shaped geometries
    • Perera M.G.N. Walters K. Long-range memory effects in flows involving abrupt changes in geometry.Part I: Flows associated with L-shaped and T-shaped geometries J. Non-Newtonian Fluid Mech 2 1977 49-81
    • (1977) J. Non-Newtonian Fluid Mech. , vol.2 , pp. 49-81
    • Perera, M.G.N.1    Walters, K.2
  • 26
    • 0015281044 scopus 로고
    • Linear stability of plane Poiseuille flow of viscoelastic liquids
    • Porteous K.C. Denn M.M. Linear stability of plane Poiseuille flow of viscoelastic liquids Trans. Soc. Rheol 16 1972 295-308
    • (1972) Trans. Soc. Rheol. , vol.16 , pp. 295-308
    • Porteous, K.C.1    Denn, M.M.2
  • 28
    • 0024067853 scopus 로고
    • Recent advances in the mathematical theory of steady flow of viscoelastic fluids
    • Renardy M. Recent advances in the mathematical theory of steady flow of viscoelastic fluids J. Non-Newtonian Fluid Mech 29 1988 11-24
    • (1988) J. Non-Newtonian Fluid Mech. , vol.29 , pp. 11-24
    • Renardy, M.1
  • 29
    • 0010306531 scopus 로고
    • Mathematical analysis of viscoelastic flows
    • Renardy M. Mathematical analysis of viscoelastic flows Ann. Rev. Fluid Mech 21 1989 1-36
    • (1989) Ann. Rev. Fluid Mech. , vol.21 , pp. 1-36
    • Renardy, M.1
  • 30
    • 0034029356 scopus 로고    scopus 로고
    • Current issues in non-Newtonian flows: A mathematical perspective
    • Renardy M. Current issues in non-Newtonian flows: A mathematical perspective J. Non-Newtonian Fluid Mech 90 2000 243-259
    • (2000) J. Non-Newtonian Fluid Mech. , vol.90 , pp. 243-259
    • Renardy, M.1
  • 31
    • 0034307617 scopus 로고    scopus 로고
    • Finite element analysis of stability of two-dimensional viscoelastic flows to three-dimensional disturbances
    • Smith M.D. Armstrong R.C. Brown R.A. Sureshkumar R. Finite element analysis of stability of two-dimensional viscoelastic flows to three-dimensional disturbances J. Non-Newtonian Fluid Mech 93 2000 203-244
    • (2000) J. Non-Newtonian Fluid Mech. , vol.93 , pp. 203-244
    • Smith, M.D.1    Armstrong, R.C.2    Brown, R.A.3    Sureshkumar, R.4
  • 32
    • 0029239963 scopus 로고
    • Linear stability analysis of viscoelastic Poiseuille flow using an Arnoldi-based orthogonalization algorithm
    • Sureshkumar R. Beris A.N. Linear stability analysis of viscoelastic Poiseuille flow using an Arnoldi-based orthogonalization algorithm J. Non-Newtonian Fluid Mech 56 1995 151-182
    • (1995) J. Non-Newtonian Fluid Mech. , vol.56 , pp. 151-182
    • Sureshkumar, R.1    Beris, A.N.2
  • 33
    • 34250479852 scopus 로고
    • Unsteady flow of an elastico-viscous liquid
    • Waters N.D. King M.J. Unsteady flow of an elastico-viscous liquid Rheol. Acta 9 1970 345-355
    • (1970) Rheol. Acta , vol.9 , pp. 345-355
    • Waters, N.D.1    King, M.J.2
  • 34
    • 0032951205 scopus 로고    scopus 로고
    • Structure of the spectrum in zero Reynolds number shear flow of the UCM and Oldroyd B liquids
    • Wilson H.J. Renardy M. Renardy Y. Structure of the spectrum in zero Reynolds number shear flow of the UCM and Oldroyd B liquids J. Non-Newtonian Fluid Mech 80 1999 251-268
    • (1999) J. Non-Newtonian Fluid Mech. , vol.80 , pp. 251-268
    • Wilson, H.J.1    Renardy, M.2    Renardy, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.