Variance reduction methods for CONNFFESSIT-like simulations

被引:59
作者
Bonvin, J [1 ]
Picasso, M [1 ]
机构
[1] Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland
关键词
CONNFFESSIT; dumbbells; equilibrium; FENE;
D O I
10.1016/S0377-0257(98)00179-7
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The aim of this paper is to present simple but efficient variance reduction methods for CONNFFESSIT-like simulations, extending the ideas of Hulsen et al. [J. Non-Newtonian Fluid Mech. 70 (1997) 79-101] and Ottinger et al. [J. Non-Newtonian Fluid Mech. 70 (1997) 255-261]. Strongly correlated local ensembles of dumbells were used, and equilibrium ensembles of dumbbells were subtracted. This idea is extended here to non-equilibrium ensembles of dumbbells. The methods are first presented in the frame of the plane Couette flow for Hookean and FENE dumbbells. Extensions to two-dimensional flows are discussed. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:191 / 215
页数:25
相关论文
共 18 条
[1]  
[Anonymous], 1979, Monte Carlo Methods, DOI DOI 10.1007/978-94-009-5819-7
[2]  
Bird R.B., 1987, DYNAMICS POLYM LIQUI, V2
[3]   CONNFFESSIT APPROACH FOR SOLVING A 2-DIMENSIONAL VISCOELASTIC FLUID PROBLEM [J].
FEIGL, K ;
LASO, M ;
OTTINGER, HC .
MACROMOLECULES, 1995, 28 (09) :3261-3274
[4]   CONVERGENCE ANALYSES OF GALERKIN LEAST-SQUARES METHODS FOR SYMMETRICAL ADVECTIVE DIFFUSIVE FORMS OF THE STOKES AND INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].
FRANCA, LP ;
HUGHES, TJR .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1993, 105 (02) :285-298
[5]  
HALIN P, 1999, UNPUB COMP METHODS A
[6]   A detailed comparison of various FENE dumbbell models [J].
Herrchen, M ;
Ottinger, HC .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1997, 68 (01) :17-42
[7]   Simulation of viscoelastic flows using Brownian configuration fields [J].
Hulsen, MA ;
vanHeel, APG ;
vandenBrule, BHAA .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1997, 70 (1-2) :79-101
[8]  
Kloeden P.E., 1992, Stochastic differential equations, V23
[9]   2-D time-dependent viscoelastic flow calculations using CONNFFESSIT [J].
Laso, M ;
Picasso, M ;
Ottinger, HC .
AICHE JOURNAL, 1997, 43 (04) :877-892
[10]   CALCULATION OF VISCOELASTIC FLOW USING MOLECULAR-MODELS - THE CONNFFESSIT APPROACH [J].
LASO, M ;
OTTINGER, HC .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1993, 47 :1-20