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Crucial properties of the moment closure model FENE-QE

By Han Wang, Kun Li and Pingwen Zhang

Abstract

We investigate four crucial properties for testing and evaluating a moment closure approximation of the FENE dumbbell model for dilute polymer solutions: non-negative configuration distribution function, energy dissipation, accuracy of approximation and computational expense. Through mathematical analysis, numerical experiments and comparisons with closure model FENE-P and FENE-YDL, we prove that the FENE-QE approximation has non-negative configuration distribution function, approximates the energy dissipation behavior of original kinetic theory and provides good accuracy. To improve the efficiency of this closure approximation, we introduce a piecewise linear approximation technique that greatly reduces the computational cost. This extension of FENE-QE, FENE-QE-PLA, is the closure model we recommend for simulating dilute polymer solutions. (C) 2007 Elsevier B.V. All rights reserved.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000255296000002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701MechanicsSCI(E)EI10ARTICLE2-380-9215

Topics: constitutive equation, kinetic theory, FENE dumbbells, closure approximation, quasi-equilibrium approximation, FINITELY EXTENSIBLE DUMBBELLS, DILUTE POLYMER-SOLUTIONS, BROWNIAN CONFIGURATION FIELDS, FOKKER-PLANCK EQUATION, VISCOELASTIC FLOWS, KINETIC-THEORY, APPROXIMATIONS, SIMULATION, CONNFFESSIT, DYNAMICS
Publisher: 非牛顿流体力学杂志
Year: 2008
DOI identifier: 10.1016/j.jnnfm.2007.10.013
OAI identifier: oai:localhost:20.500.11897/248562
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