Abstract
This paper is an extension of previous work [4], where a robust numerical method derived from the Brownian configuration field method [8] was introduced in order to simulate the flows of dilute polymeric solutions. In [4], we limited our study to solutions of dumbbells having infinite extensibility (Oldroyd-B model), whereas in this paper, we tackle the more difficult problem of dumbbells having finite extensibility (FENE-P model).
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REFERENCES
Bird, R. B., Armstrong, R. A., and Hassager, O. (1987). Dynamics of Polymeric Liquids, Wiley Interscience, New York.
Bonvin, J. (2000). Numerical Simulation of Viscoelastic Fluids with Mesoscopic Models, Ph.D. thesis, Department of Mathematics, École Polytechnique Fédérale de Lausanne.
Bonvin, J., and Picasso, M. (1999). Variance reduction methods for CONNFFESSIT-like simulations. J. Non-Newtonian Fluid Mech. 84, 191–215.
Chauvière, C. (2001a). A new method for micro-macro simulations of viscoelastic flows. SIAM J. Sci. Comput. To appear.
Chauvière, C. (2001b). Stabilized Spectral Element Methods for the Simulation of Viscoelastic Flows, Ph.D. thesis, Department of Mechanical Engineering, École Polytechnique Fédérale de Lausanne.
Chauvière, C., and Owens, R. G. (2001). A new spectral element method for the reliable computation of viscoelastic flow. Comput. Meth. Appl. Mech. Engrg. 190, 3999–4018.
Van Heel, A. P. G, Hulsen, M. A., and van den Brule, B. H. A. A. (1998). On the selection of parameters in the FENE-P model. J. Non-Newtonian Fluid Mech. 75, 253–271.
Hulsen, M. A., Van Heel, A. P. G., and van den Brule, B. H. A. A. (1997). Simulation of viscoelastic flows using Brownian configuration fields. J. Non-Newtonian Fluid Mech. 70, 79–101.
Karniadakis, G. E., and Sherwin, S. J. (1999). Spectral/hp Element Methods for CFD, Oxford University Press, Oxford, United Kingdom.
Owens, R. G., and Phillips, T. N. (2002) Computational Rheology, Imperial College Press/World Scientific, London.
Öttinger, H.-C., van den Brule, B. H. A. A., and Hulsen, M. A. (1997). Brownian configuration fields and variance reduced CONNFFESSIT. J. Non-Newtonian Fluid Mech. 70, 255–261.
Öttinger, H.-C. (1996). Stochastic Processes in Polymeric Fluids, Springer-Verlag, Berlin. 13. Patera, A. T. (1984). A spectral element method for fluid dynamics: laminar flow in a channel expansion. J. Comp. Phys. 54, 468–488. 14. Xiu, D., and Karniadakis, G. E. (2001). Modeling Uncertainty in Flow Simulations via Polynomial Chaos, Presented at ICOSAHOM'01, Uppsala, Sweden.
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Chauvière, C., Owens, R.G. A Robust Spectral Element Method for Simulations of Time-Dependent Viscoelastic Flows, Derived from the Brownian Configuration Field Method. Journal of Scientific Computing 17, 191–199 (2002). https://doi.org/10.1023/A:1015152631360
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DOI: https://doi.org/10.1023/A:1015152631360