TY - JOUR
T1 - A numerical closure approach for kinetic models of polymeric fluids
T2 - Exploring closure relations for FENE dumbbells
AU - Samaey, Giovanni
AU - Lelièvre, Tony
AU - Legat, Vincent
PY - 2011/4/1
Y1 - 2011/4/1
N2 - 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 [20].
AB - 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 [20].
KW - FENE dumbbells
KW - Micro-macro simulations
KW - Multi-scale modelling
KW - Numerical closure
UR - https://www.scopus.com/pages/publications/79952249289
U2 - 10.1016/j.compfluid.2010.06.023
DO - 10.1016/j.compfluid.2010.06.023
M3 - Article
AN - SCOPUS:79952249289
SN - 0045-7930
VL - 43
SP - 119
EP - 133
JO - Computers and Fluids
JF - Computers and Fluids
IS - 1
ER -