메뉴 건너뛰기




Volumn 60, Issue 7, 2009, Pages 791-808

On the simulation of a time-dependent cavity flow of an Oldroyd-B fluid

Author keywords

Finite element; Lid driven cavity; Log conformation; Oldroyd B fluid; Operator splitting; Stokes flow; Wave like equation method

Indexed keywords

FINITE ELEMENT; LID-DRIVEN CAVITY; LOG CONFORMATION; OLDROYD-B FLUID; OPERATOR SPLITTING; STOKES FLOW; WAVE-LIKE EQUATION METHOD;

EID: 67649976952     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1919     Document Type: Article
Times cited : (52)

References (29)
  • 1
    • 0032216113 scopus 로고    scopus 로고
    • Mixed finite element methods for viscoelastic flow analysis: A review
    • Baaijens FPT. Mixed finite element methods for viscoelastic flow analysis: a review. Journal of Non-Newtonian Fluid Mechanics 1998; 79:361-385.
    • (1998) Journal of Non-Newtonian Fluid Mechanics , vol.79 , pp. 361-385
    • Baaijens, F.P.T.1
  • 3
    • 0030175038 scopus 로고    scopus 로고
    • Observations of viscoelastic instabilities in recirculation flows of Boger fluids
    • Grillet AM, Shaqfeh ESG. Observations of viscoelastic instabilities in recirculation flows of Boger fluids. Journal of Non-Newtonian Fluid Mechanics 1996; 64:141-155.
    • (1996) Journal of Non-Newtonian Fluid Mechanics , vol.64 , pp. 141-155
    • Grillet, A.M.1    Shaqfeh, E.S.G.2
  • 5
    • 15344339745 scopus 로고    scopus 로고
    • Time-dependent simulation of viscoelastic flows at high Weissenberg number using the log-conformation representation
    • Fattal R, Kupferman R. Time-dependent simulation of viscoelastic flows at high Weissenberg number using the log-conformation representation. Journal of Non-Newtonian Fluid Mechanics 2005; 126:23-37.
    • (2005) Journal of Non-Newtonian Fluid Mechanics , vol.126 , pp. 23-37
    • Fattal, R.1    Kupferman, R.2
  • 6
    • 8844269488 scopus 로고    scopus 로고
    • Constitutive laws for the matrix-logarithm of the conformation tensor
    • Fattal R, Kupferman R. Constitutive laws for the matrix-logarithm of the conformation tensor. Journal of Non-Newtonian Fluid Mechanics 2004; 123:281-285.
    • (2004) Journal of Non-Newtonian Fluid Mechanics , vol.123 , pp. 281-285
    • Fattal, R.1    Kupferman, R.2
  • 7
    • 0347987814 scopus 로고    scopus 로고
    • New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
    • Kurganov A, Tadmor E. New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Journal of Computational Physics 2000; 160:241-282.
    • (2000) Journal of Computational Physics , vol.160 , pp. 241-282
    • Kurganov, A.1    Tadmor, E.2
  • 9
    • 0043011172 scopus 로고    scopus 로고
    • An energy estimate for the Oldroyd-B model: Theory and applications
    • Lozinski A, Owen RG. An energy estimate for the Oldroyd-B model: theory and applications. Journal of Non-Newtonian Fluid Mechanics 2003; 112:161-176.
    • (2003) Journal of Non-Newtonian Fluid Mechanics , vol.112 , pp. 161-176
    • Lozinski, A.1    Owen, R.G.2
  • 10
    • 28444453313 scopus 로고    scopus 로고
    • New formulations, positivity preserving discretizations and stability analysis for non-Newtonian flow models
    • Lee YJ, Xu J. New formulations, positivity preserving discretizations and stability analysis for non-Newtonian flow models. Computer Methods in Applied Mechanics and Engineering 2006; 195:1180-1206.
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , pp. 1180-1206
    • Lee, Y.J.1    Xu, J.2
  • 11
    • 0029379964 scopus 로고
    • Effect of artificial stress diffusivity on the stability of numerical calculations and the flow dynamics of time-dependent viscoelastic flows
    • Sureshkumar R, Beris AN. Effect of artificial stress diffusivity on the stability of numerical calculations and the flow dynamics of time-dependent viscoelastic flows. Journal of Non-Newtonian Fluid Mechanics 1995; 60:53-80.
    • (1995) Journal of Non-Newtonian Fluid Mechanics , vol.60 , pp. 53-80
    • Sureshkumar, R.1    Beris, A.N.2
  • 12
    • 0029395095 scopus 로고
    • Efficient simulation of nonlinear viscoelastic fluid flows
    • Saramito P. Efficient simulation of nonlinear viscoelastic fluid flows. Journal of Non-Newtonian Fluid Mechanics 1995; 60:199-223.
    • (1995) Journal of Non-Newtonian Fluid Mechanics , vol.60 , pp. 199-223
    • Saramito, P.1
  • 13
    • 18444412270 scopus 로고    scopus 로고
    • Flow of viscoelastic fluids past a cylinder at high Weissenberg number: Stabilized simulations using matrix logarithms
    • Hulsen MA, Fattal R, Kupferman R. Flow of viscoelastic fluids past a cylinder at high Weissenberg number: stabilized simulations using matrix logarithms. Journal of Non-Newtonian Fluid Mechanics 2005; 127:27-39.
    • (2005) Journal of Non-Newtonian Fluid Mechanics , vol.127 , pp. 27-39
    • Hulsen, M.A.1    Fattal, R.2    Kupferman, R.3
  • 14
    • 36549032608 scopus 로고    scopus 로고
    • A simple method for simulating general viscoelastic fluid flows with an alternate log-conformation formulation
    • Coronado OM, Arora D, Behr M, Pasquali M. A simple method for simulating general viscoelastic fluid flows with an alternate log-conformation formulation. Journal of Non-Newtonian Fluid Mechanics 2007; 147:189-199.
    • (2007) Journal of Non-Newtonian Fluid Mechanics , vol.147 , pp. 189-199
    • Coronado, O.M.1    Arora, D.2    Behr, M.3    Pasquali, M.4
  • 15
    • 33846805559 scopus 로고    scopus 로고
    • Numerical simulation of a lid-driven cavity viscoelastic flow at high Weissenberg numbers
    • Série I
    • Pan TW, Hao J. Numerical simulation of a lid-driven cavity viscoelastic flow at high Weissenberg numbers. Comptes Rendus de l' Academie des Sciences, Série I 2007; 344:283-286.
    • (2007) Comptes Rendus de l' Academie des Sciences , Issue.344 , pp. 283-286
    • Pan, T.W.1    Hao, J.2
  • 17
    • 67649646329 scopus 로고    scopus 로고
    • Finite element methods for incompressible viscous flow
    • Ciarlet Lions JL eds, North-Holland: Amsterdam
    • Glowinski R. Finite element methods for incompressible viscous flow. In Handbook of Numerical Analysis, Ciarlet PG, Lions JL (eds), vol. IX. North-Holland: Amsterdam, 2003; 3-1176.
    • (2003) Handbook of Numerical Analysis , vol.9 , pp. 3-1176
    • Glowinski, R.1
  • 18
    • 0001105507 scopus 로고    scopus 로고
    • A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: Application to particulate flow
    • Glowinski R, Pan TW, Hesla T, Joseph DD, Periaux J. A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. Journal of Computational Physics 2001; 169:363-426.
    • (2001) Journal of Computational Physics , vol.169 , pp. 363-426
    • Glowinski, R.1    Pan, T.W.2    Hesla, T.3    Joseph, D.D.4    Periaux, J.5
  • 19
    • 28844484376 scopus 로고    scopus 로고
    • Direct simulation of the motion of neutrally buoyant balls in a three-dimensional Poiseuille flow
    • Pan TW, Glowinski R. Direct simulation of the motion of neutrally buoyant balls in a three-dimensional Poiseuille flow. Comptes Rendus Mecanique 2005; 333:884-895.
    • (2005) Comptes Rendus Mecanique , vol.333 , pp. 884-895
    • Pan, T.W.1    Glowinski, R.2
  • 20
    • 0018514925 scopus 로고
    • A wave equation model for finite element tidal computations
    • Lynch DR, Gray WG. A wave equation model for finite element tidal computations. Computers and Fluids 1979; 7:501-534.
    • (1979) Computers and Fluids , vol.7 , pp. 501-534
    • Lynch, D.R.1    Gray, W.G.2
  • 21
    • 67649911466 scopus 로고    scopus 로고
    • Wave equation models to solve multidimensional transport equations
    • Wu J. Wave equation models to solve multidimensional transport equations. International Journal for Numerical Methods in Fluids 1997; 24:323-439.
    • (1997) International Journal for Numerical Methods in Fluids , vol.24 , pp. 323-439
    • Wu, J.1
  • 22
    • 0031256329 scopus 로고    scopus 로고
    • A wave equation approach to the numerical solution of the Navier-Stokes equations for incompressible viscous flow
    • Série I
    • Dean EJ, Glowinski R. A wave equation approach to the numerical solution of the Navier-Stokes equations for incompressible viscous flow. Comptes Rendus de l' Academie des Sciences, Série I 1997; 325:783-791.
    • (1997) Comptes Rendus de l' Academie des Sciences , Issue.325 , pp. 783-791
    • Dean, E.J.1    Glowinski, R.2
  • 23
    • 0002706567 scopus 로고    scopus 로고
    • A projection/wave-like equation method for the numerical simulation of incompressible viscous fluid flow modeled by the Navier-Stokes equations
    • Pan TW, Glowinski R. A projection/wave-like equation method for the numerical simulation of incompressible viscous fluid flow modeled by the Navier-Stokes equations. Journal of Computational Fluid Dynamics 2000; 9:28-42.
    • (2000) Journal of Computational Fluid Dynamics , vol.9 , pp. 28-42
    • Pan, T.W.1    Glowinski, R.2
  • 24
    • 67649930141 scopus 로고    scopus 로고
    • A comparison of L2-projection and H1-projection methods for the numerical simulation of incompressible viscous fluid flow: A case study
    • Wang T, Pan TW, Glowinski R. A comparison of L2-projection and H1-projection methods for the numerical simulation of incompressible viscous fluid flow: a case study. Chinese Journal of Engineering Mathematics 2008; 25.
    • (2008) Chinese Journal of Engineering Mathematics , pp. 25
    • Wang, T.1    Pan, T.W.2    Glowinski, R.3
  • 25
    • 33748149154 scopus 로고    scopus 로고
    • Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity
    • Glowinski R, Guidoboni G, Pan TW. Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity. Journal of Computational Physics 2006; 216:79-91.
    • (2006) Journal of Computational Physics , vol.216 , pp. 79-91
    • Glowinski, R.1    Guidoboni, G.2    Pan, T.W.3
  • 26
    • 0003385001 scopus 로고
    • Error estimates for finite element method solution of the Stokes problem in the primitive variables
    • Bercovier M, Pironneau O. Error estimates for finite element method solution of the Stokes problem in the primitive variables. Numerische Mathematik 1979; 33:211-224.
    • (1979) Numerische Mathematik , vol.33 , pp. 211-224
    • Bercovier, M.1    Pironneau, O.2
  • 27
    • 0022765310 scopus 로고
    • Numerical methods for the Navier-Stokes equations. Applications to the simulation of compressible and incompressible viscous flow
    • Bristeau MO, Glowinski R, Periaux J. Numerical methods for the Navier-Stokes equations. Applications to the simulation of compressible and incompressible viscous flow. Computer Physics Reports 1987; 6:73-187.
    • (1987) Computer Physics Reports , vol.6 , pp. 73-187
    • Bristeau, M.O.1    Glowinski, R.2    Periaux, J.3
  • 29
    • 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; 215:691-716.
    • (2006) Journal of Computational Physics , vol.215 , pp. 691-716
    • Bonito, A.1    Picasso, M.2    Laso, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.