A new method for micro-macro simulations of viscoelastic flows

SIAM Journal on Scientific Computing

Volumn 23, Issue 6, 2002, Pages 2123-2140

  Chauviere, Cedric ^a  

^a EPFL   (Switzerland)

Author keywords

Mesoscopic models; Spectral element methods; Viscoelastic flows

Indexed keywords

COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; SOLUTIONS; STATISTICS; VISCOELASTICITY; VISCOUS FLOW;

SPECTRAL ELEMENT METHODS;

NUMERICAL METHODS;

EID: 0036453183     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827501384603     Document Type: Article

References (20)

1. R.B. Bird, R.C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids, Vol. 2, John Wiley and Sons, New York, 1987.
2. J. Bonvin, Numerical Simulation of Viscoelastic Fluids With Mesoscopic Models, Ph.D. thesis, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland, 2000.
3. J. Bonvin and M. Picasso, Variance reduction methods for CONNFFESSIT-like simulations, J. Non-Newtonian Fluid Mech., 84 (1999), pp. 191-215.
4. C. Chauviere and R.G. Owens, How accurate is your solution? Error indicators for viscoelastic flow calculations, J. Non-Newtonian Fluid Mech., 95 (2000), pp. 1-33.
5. C. Chauviere and R.G. Owens, A new spectral element method for the reliable computation of viscoelastic flow, Comput. Meth. Appl. Mech. Engrg., 190 (2001), pp. 3999-4018.
6. C. Chauvière and R.G. Owens, A robust spectral element method for simulations of time-dependent viscoelastic flows, derived from the Brownian configuration field method, J. Sci. Comput., to appear.
7. H.S. Dou and N. Phan-Thien, The flow of an Oldroyd-B fluid past a cylinder in a channel: Adaptive viscosity vorticity (DA VSS-w) formulation, J. Non-Newtonian Fluid Mech., 87 (1999), pp. 47-73.
8. Y.R. Fan, A comparative study of the discontinuous Galerkin and continuous SUPG finite element methods for computation of viscoelastic flows, Comput. Meth. Appl. Mech. Engrg., 141 (1997), pp. 47-65.
9. Y.R. Fan and M.J. Crochet, High-order finite element methods for steady viscoelastic flows, J. Non-Newtonian Fluid Mech., 57 (1995), pp. 283-311.
10. Y.R. Fan, R.I. Tanner, and Phan-Thien,. Galerkin/least-squares finite-element methods for steady viscoelastic flows, J. Non-Newtonian Fluid Mech., 84 (1999), pp. 233-256.
11. W.J. Gordon and C.A. Hall, Transfinite element methods: Blending function interpolation over arbitrary curved element domains, Numer. Math., 21 (1973), pp. 109-129.
12. M.A. Hulsen, A.P.G. Van Heel, and B.H.A.A. Van Den Brule, Simulation of viscoelastic flows using Brownian configuration fields, J. Non-Newtonian Fluid Mech., 70 (1997), pp. 79-101.
13. M. Laso and H.C. Öttinger, Calculation of viscoelastic flow using molecular models: The CONNFFESSIT-approach, J. Non-Newtonian Fluid Mech., 47 (1993), pp. 1-20.
14. Y. Maday and A.T. Patera, Spectral element methods for the incompressible Navier-Stokes equations, in State of the Art Surveys in Computational Mechanics, ASME, New York, 1989, pp. 71-143.
15. H.C. Öttinger, B.H.A.A. Van den brule, and M.A. Hulsen, Brownian configuration fields and variance reduced CONNFFESSIT, J. Non-Newtonian Fluid Mech., 70 (1997), pp. 255-261.
16. H.C. Öttinger, Stochastic Processes in Polymeric Fluids, Springer-Verlag, Berlin, 1996.
17. A.T. Patera, A spectral element method for fluid dynamics: Laminar flow in a channel expansion, J. Comput. Phys., 54 (1984), pp. 468-488.
18. N. Phan-Thien and H.S. Dou, Viscoelastic flow past a cylinder: Drag coefficient, Comput. Meth. Appl. Mech. Engrg., 180 (1999), pp. 243-266.
19. J. Sun, M.D. Smith, R.C. Armstrong, and 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), pp. 281-307.
20. A.P.G. Van Heel, M.A. Hulsen, and B.H.A.A. Van Den Brule, On the selection of parameters in the FENE-P model, J. Non-Newtonian Fluid Mech., 75 (1998), pp. 253-271.