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Volumn 189, Issue 2, 2003, Pages 607-625

A fast solver for Fokker-Planck equation applied to viscoelastic flows calculations: 2D FENE model

Author keywords

FENE dumbbell model; Fokker Planck equation; Spectral methods

Indexed keywords

NONLINEAR EQUATIONS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS; VISCOELASTICITY;

EID: 0042657876     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9991(03)00248-1     Document Type: Article
Times cited : (83)

References (28)
  • 1
    • 0013499737 scopus 로고    scopus 로고
    • The use of kinetic theory and microstructural models in the analysis of complex flows of viscoelastic liquids
    • Aït-Kadi, J.M. Dealy, D.F. James, M.C. Williams (Eds.), Laval University, Québec, August 18-23
    • R.C. Armstrong, R. Nayak, R.A. Brown, The use of kinetic theory and microstructural models in the analysis of complex flows of viscoelastic liquids, in: Aït-Kadi, J.M. Dealy, D.F. James, M.C. Williams (Eds.), Proceedings of the 12th International Congress on Rheology, Laval University, Québec, August 18-23, 1996.
    • (1996) Proceedings of the 12th International Congress on Rheology
    • Armstrong, R.C.1    Nayak, R.2    Brown, R.A.3
  • 3
    • 0003423425 scopus 로고
    • Kinetic Theory, second ed., Wiley-Interscience, New York, Chichester, Brisbane, Toronto, Singapore
    • R.B. Bird, R.C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids, vol. 2, Kinetic Theory, second ed., Wiley-Interscience, New York, Chichester, Brisbane, Toronto, Singapore, 1987.
    • (1987) Dynamics of Polymeric Liquids , vol.2
    • Bird, R.B.1    Armstrong, R.C.2    Hassager, O.3
  • 4
    • 0003929195 scopus 로고    scopus 로고
    • Numerical simulation of viscoelastic fluids with mesoscopic models
    • Ph.D. Thesis, École Polytechnique F édérale de Lausanne, Lausanne, Switzerland
    • J. Bonvin, Numerical simulation of viscoelastic fluids with mesoscopic models, Ph.D. Thesis, École Polytechnique F édérale de Lausanne, Lausanne, Switzerland, 2000.
    • (2000)
    • Bonvin, J.1
  • 5
    • 0033567201 scopus 로고    scopus 로고
    • Variance reduction methods for CONNFFESSIT-like simulations
    • J. Bonvin, M. Picasso, Variance reduction methods for CONNFFESSIT-like simulations, J. Non-Newtonian Fluid Mech. 84 (1999) 191-215.
    • (1999) J. Non-Newtonian Fluid Mech. , vol.84 , pp. 191-215
    • Bonvin, J.1    Picasso, M.2
  • 7
    • 85190570333 scopus 로고    scopus 로고
    • Simulation of dilute polymer solutions using a Fokker-Planck equation
    • to appear
    • C. Chauviere, A. Lozinski, Simulation of dilute polymer solutions using a Fokker-Planck equation, Comput. Fluids, to appear.
    • Comput. Fluids
    • Chauviere, C.1    Lozinski, A.2
  • 8
    • 0034551720 scopus 로고    scopus 로고
    • How accurate is your solution? Error indicators for viscoelastic flow calculations
    • C. Chauviere, R.G. Owens, How accurate is your solution? Error indicators for viscoelastic flow calculations, J. Non-Newtonian Fluid Mech. 95 (2000) 1-33.
    • (2000) J. Non-Newtonian Fluid Mech. , vol.95 , pp. 1-33
    • Chauviere, C.1    Owens, R.G.2
  • 9
    • 0035957615 scopus 로고    scopus 로고
    • A new spectral element method for the reliable computation of viscoelastic flow
    • C. Chauvière, R.G. Owens, A new spectral element method for the reliable computation of viscoelastic flow, Comput. Methods Appl. Mech. Engrg. 90 (2001) 3999-4018.
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.90 , pp. 3999-4018
    • Chauvière, C.1    Owens, R.G.2
  • 10
    • 0033385107 scopus 로고    scopus 로고
    • The flow of an Oldroyd-B fluid past a cylinder in a channel: Adaptive viscosity vorticity (DAVSS-ω) formulation
    • H.S. Dou, N. Phan-Thien, The flow of an Oldroyd-B fluid past a cylinder in a channel: adaptive viscosity vorticity (DAVSS-ω) formulation, J. Non-Newtonian Fluid Mech. 87 (1999) 47-73.
    • (1999) J. Non-Newtonian Fluid Mech. , vol.87 , pp. 47-73
    • Dou, H.S.1    Phan-Thien, N.2
  • 11
    • 0031079612 scopus 로고    scopus 로고
    • A comparative study of the discontinuous Galerkin and continuous SUPG finite element methods for computation of viscoelastic flows
    • Y.R. Fan, A comparative study of the discontinuous Galerkin and continuous SUPG finite element methods for computation of viscoelastic flows, Comput. Methods Appl. Mech. Engrg. 141 (1997) 47-65.
    • (1997) Comput. Methods Appl. Mech. Engrg. , vol.141 , pp. 47-65
    • Fan, Y.R.1
  • 12
    • 0033567393 scopus 로고    scopus 로고
    • Galerkin/least-squares finite-element methods for steady viscoelastic flows
    • Y.R, Fan, R.I. Tanner, N. Phan-Thien, Galerkin/least-squares 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.R.1    Tanner, R.I.2    Phan-Thien, N.3
  • 13
    • 0022029535 scopus 로고
    • Viscosity, first normal-stress coefficient, and molecular stretching in dilute polymer solutions
    • X-J. Fan, Viscosity, first normal-stress coefficient, and molecular stretching in dilute polymer solutions, J. Non-Newtonian Fluid Mech. 17 (1985) 125-144.
    • (1985) J. Non-Newtonian Fluid Mech. , vol.17 , pp. 125-144
    • Fan, X.-J.1
  • 14
    • 0024611176 scopus 로고
    • Molecular models and flow calculation: I. The numerical solutions to multibead-rod models in inhomogeneous flows
    • X. Fan, Molecular models and flow calculation: I. The numerical solutions to multibead-rod models in inhomogeneous flows, Acta Mech. Sin. 5 (1989) 49-59.
    • (1989) Acta Mech. Sin. , vol.5 , pp. 49-59
    • Fan, X.1
  • 15
    • 0024717196 scopus 로고
    • Molecular models and flow calculations: II. Simulation of steady planar flow
    • X. Fan, Molecular models and flow calculations: II. Simulation of steady planar flow, Acta Mech. Sin. 5 (1989) 216-226.
    • (1989) Acta Mech. Sin. , vol.5 , pp. 216-226
    • Fan, X.1
  • 16
    • 0035439412 scopus 로고    scopus 로고
    • An algorithmic introduction to numerical simulation of stochastic differential equations
    • D.J. Hingham, An algorithmic introduction to numerical simulation of stochastic differential equations, SIAM Rev. 43 (2001) 525-546.
    • (2001) SIAM Rev. , vol.43 , pp. 525-546
    • Hingham, D.J.1
  • 18
    • 0038680697 scopus 로고    scopus 로고
    • A Fokker-Planck simulation of fast flows of concentrated polymer solutions in complex geometries
    • A. Lozinski, C. Chauvière, J. Fang, R.G. Owens, A Fokker-Planck simulation of fast flows of concentrated polymer solutions in complex geometries, J. Rheol. 47 (2003) 535-561.
    • (2003) J. Rheol. , vol.47 , pp. 535-561
    • Lozinski, A.1    Chauvière, C.2    Fang, J.3    Owens, R.G.4
  • 19
    • 0011702083 scopus 로고    scopus 로고
    • Molecular simulation of liquid crystal polymer flow: A wavelet-finite element analysis
    • Ph.D. Thesis, MIT, Cambridge, MA
    • R. Nayak, Molecular simulation of liquid crystal polymer flow: a wavelet-finite element analysis, Ph.D. Thesis, MIT, Cambridge, MA., 1998, p. 374.
    • (1998) , pp. 374
    • Nayak, R.1
  • 20
    • 0004055745 scopus 로고    scopus 로고
    • Stochastic processes in polymeric fluids
    • Springer, Berlin
    • H.C. Öttinger, Stochastic processes in polymeric fluids, Springer, Berlin, 1996.
    • (1996)
    • Öttinger, H.C.1
  • 21
  • 24
    • 0033133959 scopus 로고    scopus 로고
    • On the hysteretic behaviour of dilute polymer solutions in relaxation following extensional flow
    • R. Sizaire, G. Lielens, I. Jaumain, R. Keunings, V. Legat, On the hysteretic behaviour of dilute polymer solutions in relaxation following extensional flow, J. Non-Newtonian Fluid Mech. 82 (1999) 233-253.
    • (1999) J. Non-Newtonian Fluid Mech. , vol.82 , pp. 233-253
    • Sizaire, R.1    Lielens, G.2    Jaumain, I.3    Keunings, R.4    Legat, V.5
  • 26
    • 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-G/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-G/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
  • 28
    • 0347638498 scopus 로고
    • Kinetic theory and rheology of dilute suspensions of finitely extensible dumbbells
    • H.R. Warner, Kinetic theory and rheology of dilute suspensions of finitely extensible dumbbells, Ind. Eng. Chem. Fundam. 11 (1972) 379-387.
    • (1972) Ind. Eng. Chem. Fundam. , vol.11 , pp. 379-387
    • Warner, H.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.