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Volumn 157, Issue 1-2, 2009, Pages 55-65

The log-conformation tensor approach in the finite-volume method framework

Author keywords

Cylinder flow; Finite volume method; Log conformation tensor; Viscoelastic fluid

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; CONSTITUTIVE EQUATIONS; CYLINDERS (SHAPES); FLOW PATTERNS; FLUID DYNAMICS; NUMERICAL ANALYSIS; STEADY FLOW; TENSORS;

EID: 58249132290     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2008.09.007     Document Type: Article
Times cited : (107)

References (37)
  • 2
    • 0017518270 scopus 로고
    • A new constitutive equation derived from network theory
    • Phan-Thien N., and Tanner R.I. A new constitutive equation derived from network theory. J. Non-Newt. Fluid Mech. 2 (1977) 353-365
    • (1977) J. Non-Newt. Fluid Mech. , vol.2 , pp. 353-365
    • Phan-Thien, N.1    Tanner, R.I.2
  • 3
    • 0017981477 scopus 로고
    • A non-linear network viscoelastic model
    • Phan-Thien N. A non-linear network viscoelastic model. J. Rheol. 22 (1978) 259-283
    • (1978) J. Rheol. , vol.22 , pp. 259-283
    • Phan-Thien, N.1
  • 4
    • 0035961193 scopus 로고    scopus 로고
    • The flow of viscoelastic fluids past a cylinder: finite-volume high-resolution methods
    • Alves M.A., Pinho F.T., and Oliveira P.J. The flow of viscoelastic fluids past a cylinder: finite-volume high-resolution methods. J. Non-Newt. Fluid Mech. 97 (2001) 207-232
    • (2001) J. Non-Newt. Fluid Mech. , vol.97 , pp. 207-232
    • Alves, M.A.1    Pinho, F.T.2    Oliveira, P.J.3
  • 5
    • 8844269488 scopus 로고    scopus 로고
    • Constitutive laws of the matrix-logarithm of the conformation tensor
    • Fattal R., and Kupferman R. Constitutive laws of the matrix-logarithm of the conformation tensor. J. Non-Newt. Fluid Mech. 123 (2004) 281-285
    • (2004) J. Non-Newt. Fluid Mech. , vol.123 , pp. 281-285
    • Fattal, R.1    Kupferman, R.2
  • 6
    • 0027524062 scopus 로고
    • The wake instability in viscoelastic flow past confined circular cylinders
    • McKinley G.H., Armstrong R.C., and Brown R.A. The wake instability in viscoelastic flow past confined circular cylinders. Philos. Trans. R. Soc. London A 344 (1993) 265-304
    • (1993) Philos. Trans. R. Soc. London A , vol.344 , pp. 265-304
    • McKinley, G.H.1    Armstrong, R.C.2    Brown, R.A.3
  • 7
    • 0028404040 scopus 로고
    • An experimental and numerical investigation of a viscoelastic flow around a cylinder
    • Baaijens F.P.T., Baaijens H.P.W., Peters G.W.M., and Meijer H.E.H. An experimental and numerical investigation of a viscoelastic flow around a cylinder. J. Rheol. 38 (1994) 351-376
    • (1994) J. Rheol. , vol.38 , pp. 351-376
    • Baaijens, F.P.T.1    Baaijens, H.P.W.2    Peters, G.W.M.3    Meijer, H.E.H.4
  • 8
    • 0031279441 scopus 로고    scopus 로고
    • Viscoelastic flow around a confined circular cylinder: measurements using high image-density particle image velocimetry
    • Shiang A.H., Lin J.C., Öztekin A., and Rockwell D. Viscoelastic flow around a confined circular cylinder: measurements using high image-density particle image velocimetry. J. Non-Newt. Fluid Mech. 73 (1997) 29-49
    • (1997) J. Non-Newt. Fluid Mech. , vol.73 , pp. 29-49
    • Shiang, A.H.1    Lin, J.C.2    Öztekin, A.3    Rockwell, D.4
  • 9
    • 0347075056 scopus 로고    scopus 로고
    • Hydroelastic instabilities in viscoelastic flow past a cylinder confined in a channel
    • Shiang A.H., Öztekin A., Lin J.C., and Rockwell D. Hydroelastic instabilities in viscoelastic flow past a cylinder confined in a channel. Exp. Fluids 28 (2000) 128-142
    • (2000) Exp. Fluids , vol.28 , pp. 128-142
    • Shiang, A.H.1    Öztekin, A.2    Lin, J.C.3    Rockwell, D.4
  • 11
    • 15344339745 scopus 로고    scopus 로고
    • Time-dependent simulation of viscoelastic flows at high Weissenberg number using the log-conformation representation
    • Fattal R., and Kupferman R. Time-dependent simulation of viscoelastic flows at high Weissenberg number using the log-conformation representation. J. Non-Newt. Fluid Mech. 126 (2005) 23-37
    • (2005) J. Non-Newt. Fluid Mech. , vol.126 , pp. 23-37
    • Fattal, R.1    Kupferman, R.2
  • 12
    • 33846805559 scopus 로고    scopus 로고
    • Numerical simulation of a lid-driven cavity viscoelastic flow at high Weissenberg numbers
    • Pan T.W., and Hao J. Numerical simulation of a lid-driven cavity viscoelastic flow at high Weissenberg numbers. C. R. Acad. Sci. Paris, Ser. I 344 (2007) 283-286
    • (2007) C. R. Acad. Sci. Paris, Ser. I , vol.344 , pp. 283-286
    • Pan, T.W.1    Hao, J.2
  • 13
    • 18444412270 scopus 로고    scopus 로고
    • Flow of viscoelastic fluids past a cylinder at high Weissenberg number: stabilized simulations using matrix logarithms
    • Hulsen M.A., Fattal R., and Kupferman R. Flow of viscoelastic fluids past a cylinder at high Weissenberg number: stabilized simulations using matrix logarithms. J. Non-Newt. Fluid Mech. 127 (2005) 27-39
    • (2005) J. Non-Newt. Fluid Mech. , vol.127 , pp. 27-39
    • Hulsen, M.A.1    Fattal, R.2    Kupferman, R.3
  • 14
    • 26444468123 scopus 로고    scopus 로고
    • Finite element analysis of planar 4:1 contraction flow with the tensor-logarithmic formulation of differential constitutive equations
    • Kwon Y. Finite element analysis of planar 4:1 contraction flow with the tensor-logarithmic formulation of differential constitutive equations. Korea-Australia Rheol. J. 16 (2004) 183-191
    • (2004) Korea-Australia Rheol. J. , vol.16 , pp. 183-191
    • Kwon, Y.1
  • 15
    • 26444478640 scopus 로고    scopus 로고
    • Finite element analysis of viscoelastic flows in a domain with geometric singularities
    • Yoon S., and Kwon Y. Finite element analysis of viscoelastic flows in a domain with geometric singularities. Korea-Australia Rheol. J. 17 (2005) 99-110
    • (2005) Korea-Australia Rheol. J. , vol.17 , pp. 99-110
    • Yoon, S.1    Kwon, Y.2
  • 16
    • 33749378938 scopus 로고    scopus 로고
    • Numerical analysis of viscoelastic flows in a channel obstructed by an asymmetric array of obstacles
    • Kwon Y. Numerical analysis of viscoelastic flows in a channel obstructed by an asymmetric array of obstacles. Korea-Australia Rheol. J. 18 (2006) 161-167
    • (2006) Korea-Australia Rheol. J. , vol.18 , pp. 161-167
    • Kwon, Y.1
  • 17
    • 36549032608 scopus 로고    scopus 로고
    • A simple method for simulating general viscoelastic fluid flows with an alternate log-conformation formulation
    • Coronado O.M., Arora D., Behr M., and Pasquali M. A simple method for simulating general viscoelastic fluid flows with an alternate log-conformation formulation. J. Non-Newt. Fluid Mech. 147 (2007) 189-199
    • (2007) J. Non-Newt. Fluid Mech. , vol.147 , pp. 189-199
    • Coronado, O.M.1    Arora, D.2    Behr, M.3    Pasquali, M.4
  • 18
    • 44649121111 scopus 로고    scopus 로고
    • An adaptive remeshing strategy for viscoelastic fluid flow simulations
    • Guénette R., Fortin A., Kane A., and Hétu J.-F. An adaptive remeshing strategy for viscoelastic fluid flow simulations. J. Non-Newt. Fluid Mech. 153 (2008) 34-45
    • (2008) J. Non-Newt. Fluid Mech. , vol.153 , pp. 34-45
    • Guénette, R.1    Fortin, A.2    Kane, A.3    Hétu, J.-F.4
  • 19
    • 0035973405 scopus 로고    scopus 로고
    • An improved numerical scheme to study mass transfer over a separation membrane
    • Miranda J.M., and Campos J.B.L.M. An improved numerical scheme to study mass transfer over a separation membrane. J. Membr. Sci. 188 (2001) 49-59
    • (2001) J. Membr. Sci. , vol.188 , pp. 49-59
    • Miranda, J.M.1    Campos, J.B.L.M.2
  • 20
    • 0344157805 scopus 로고    scopus 로고
    • A unified finite element algorithm for two-equation models of turbulence
    • Ilinca F., Hétu J.-F., and Pelletier D. A unified finite element algorithm for two-equation models of turbulence. Computers Fluids 27 (1998) 291-310
    • (1998) Computers Fluids , vol.27 , pp. 291-310
    • Ilinca, F.1    Hétu, J.-F.2    Pelletier, D.3
  • 21
    • 0032168593 scopus 로고    scopus 로고
    • Numerical simulation of non-linear elastic flows with a general collocated finite-volume method
    • Oliveira P.J., Pinho F.T., and Pinto G.A. Numerical simulation of non-linear elastic flows with a general collocated finite-volume method. J. Non-Newt. Fluid Mech. 79 (1998) 1-43
    • (1998) J. Non-Newt. Fluid Mech. , vol.79 , pp. 1-43
    • Oliveira, P.J.1    Pinho, F.T.2    Pinto, G.A.3
  • 22
    • 0034307761 scopus 로고    scopus 로고
    • Effect of a high-resolution differencing scheme on finite-volume predictions of viscoelastic flows
    • Alves M.A., Pinho F.T., and Oliveira P.J. Effect of a high-resolution differencing scheme on finite-volume predictions of viscoelastic flows. J. Non-Newt. Fluid Mech. 93 (2000) 287-314
    • (2000) J. Non-Newt. Fluid Mech. , vol.93 , pp. 287-314
    • Alves, M.A.1    Pinho, F.T.2    Oliveira, P.J.3
  • 23
    • 0037428347 scopus 로고    scopus 로고
    • A convergent and universally bounded interpolation scheme for the treatment of advection
    • Alves M.A., Oliveira P.J., and Pinho F.T. A convergent and universally bounded interpolation scheme for the treatment of advection. Int. J. Num. Meth. Fluids 41 (2003) 47-75
    • (2003) Int. J. Num. Meth. Fluids , vol.41 , pp. 47-75
    • Alves, M.A.1    Oliveira, P.J.2    Pinho, F.T.3
  • 24
    • 41549157251 scopus 로고    scopus 로고
    • Uniform flow of viscoelastic fluids past a confined falling cylinder
    • Afonso A., Alves M.A., Oliveira P.J., and Pinho F.T. Uniform flow of viscoelastic fluids past a confined falling cylinder. Rheol. Acta 47 (2007) 324-348
    • (2007) Rheol. Acta , vol.47 , pp. 324-348
    • Afonso, A.1    Alves, M.A.2    Oliveira, P.J.3    Pinho, F.T.4
  • 25
    • 18444412569 scopus 로고    scopus 로고
    • A numerical study of steady and unsteady viscoelastic flow past bounded cylinders
    • Oliveira P.J., and Miranda A.I.P. A numerical study of steady and unsteady viscoelastic flow past bounded cylinders. J. Non-Newt. Fluid Mech. 127 (2005) 51-66
    • (2005) J. Non-Newt. Fluid Mech. , vol.127 , pp. 51-66
    • Oliveira, P.J.1    Miranda, A.I.P.2
  • 26
    • 0024090320 scopus 로고
    • Some properties and analytical expressions for plane flow of Leonov and Giesekus models
    • Hulsen M.A. Some properties and analytical expressions for plane flow of Leonov and Giesekus models. J. Non-Newt. Fluid Mech. 30 (1988) 85-92
    • (1988) J. Non-Newt. Fluid Mech. , vol.30 , pp. 85-92
    • Hulsen, M.A.1
  • 27
    • 0000446970 scopus 로고
    • Report on the VIIIth international workshop on numerical methods in viscoelastic flows
    • Brown R.A., and McKinley G.H. Report on the VIIIth international workshop on numerical methods in viscoelastic flows. J. Non-Newt. Fluid Mech. 52 (1994) 407-413
    • (1994) J. Non-Newt. Fluid Mech. , vol.52 , pp. 407-413
    • Brown, R.A.1    McKinley, G.H.2
  • 30
    • 0033567393 scopus 로고    scopus 로고
    • Galerkin/least-square finite-element methods for steady viscoelastic flows
    • Fan Y., Tanner R.I., and Phan-Thien N. Galerkin/least-square finite-element methods for steady viscoelastic flows. J. Non-Newt. Fluid Mech. 84 (1999) 233-256
    • (1999) J. Non-Newt. Fluid Mech. , vol.84 , pp. 233-256
    • Fan, Y.1    Tanner, R.I.2    Phan-Thien, N.3
  • 31
    • 8844253286 scopus 로고    scopus 로고
    • An efficient iterative solver and high precision solutions of the Oldroyd-B fluid flow past a confined cylinder
    • Kim J.M., Kim C., Ahn K.H., and Lee S.J. An efficient iterative solver and high precision solutions of the Oldroyd-B fluid flow past a confined cylinder. J. Non-Newt. Fluid Mech. 123 (2004) 161-173
    • (2004) J. Non-Newt. Fluid Mech. , vol.123 , pp. 161-173
    • Kim, J.M.1    Kim, C.2    Ahn, K.H.3    Lee, S.J.4
  • 32
    • 0037203428 scopus 로고    scopus 로고
    • A locally-upwinded spectral technique (LUST) for viscoelastic flows
    • Owens R.G., Chauviére C., and Philips T.N. A locally-upwinded spectral technique (LUST) for viscoelastic flows. J. Non-Newt. Fluid Mech. 108 (2002) 49-71
    • (2002) J. Non-Newt. Fluid Mech. , vol.108 , pp. 49-71
    • Owens, R.G.1    Chauviére, C.2    Philips, T.N.3
  • 33
    • 37849026830 scopus 로고    scopus 로고
    • Coil-stretch transition and the breakdown of computations for viscoelastic fluid flow around a confined cylinder
    • Bajaj M., Pasquali M., and Prakash J.R. Coil-stretch transition and the breakdown of computations for viscoelastic fluid flow around a confined cylinder. J. Rheol. 52 (2008) 197-223
    • (2008) J. Rheol. , vol.52 , pp. 197-223
    • Bajaj, M.1    Pasquali, M.2    Prakash, J.R.3
  • 34
    • 0035515186 scopus 로고    scopus 로고
    • Method for time-dependent simulations of viscoelastic flows: vortex shedding behind cylinder
    • Oliveira P.J. Method for time-dependent simulations of viscoelastic flows: vortex shedding behind cylinder. J. Non-Newt. Fluid Mech. 101 (2001) 113-137
    • (2001) J. Non-Newt. Fluid Mech. , vol.101 , pp. 113-137
    • Oliveira, P.J.1
  • 35
    • 33748163424 scopus 로고    scopus 로고
    • A comment on smoothness of viscoelastic stresses
    • Renardy M. A comment on smoothness of viscoelastic stresses. J. Non-Newt. Fluid Mech. 138 (2006) 204-205
    • (2006) J. Non-Newt. Fluid Mech. , vol.138 , pp. 204-205
    • Renardy, M.1
  • 36
    • 0033572445 scopus 로고    scopus 로고
    • Viscoelastic flow past a cylinder: drag coefficient
    • Phan-Thien N., and Dou H.S. Viscoelastic flow past a cylinder: drag coefficient. Comput. Meth. Appl. Mech. Eng. 180 (1999) 243-266
    • (1999) Comput. Meth. Appl. Mech. Eng. , vol.180 , pp. 243-266
    • Phan-Thien, N.1    Dou, H.S.2
  • 37
    • 0142156216 scopus 로고    scopus 로고
    • Negative wake in the uniform flow past a cylinder
    • Dou H.S., and Phan-Thien N. Negative wake in the uniform flow past a cylinder. Rheol. Acta 42 (2003) 383-409
    • (2003) Rheol. Acta , vol.42 , pp. 383-409
    • Dou, H.S.1    Phan-Thien, N.2


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