A numerical closure approach for kinetic models of polymeric fluids: Exploring closure relations for FENE dumbbells
(2011) Computers & Fluids — Vol. 43, n° 1, p. 119-133 (2011)
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- Authors
- Abstract
- We propose a numerical procedure to study closure approximations for FENE dumbbells in terms of chosen macroscopic state variables, enabling to test straightforwardly which macroscopic state variables should be included to build good closures. The method involves the reconstruction of a polymer distribution related to the conditional equilibrium of a microscopic Monte Carlo simulation, conditioned upon the desired macroscopic state. We describe the procedure in detail, give numerical results for several strategies to define the set of macroscopic state variables, and show that the resulting closures are related to those obtained by a so-called quasi-equilibrium approximation
- Affiliations
K.U. Leuven Department of Computer Science, Celestijnenlaan 200A, B-3001 Leuven, Belgium Université Paris-Est CERMICS and INRIA MicMac Project Team, Ecole des Ponts ParisTech, 6 et 8 Avenue Blaise Pascal, Cité Descartes – Champs sur Marne, 77455 Marne la Valle Cedex 2, France
Citations
Samaey, G., Lelièvre, T., & Legat, V. (2011). A numerical closure approach for kinetic models of polymeric fluids: Exploring closure relations for FENE dumbbells. Computers & Fluids, 43(1), 119-133. https://doi.org/10.1016/j.compfluid.2010.06.023 (Original work published 2011)