A fast solver for Fokker-Planck equation applied to viscoelastic flows calculations:: 2D FENE model

被引：70

作者：

Lozinski, A ^{[1
]}

Chauvière, U

机构：

[1] Ecole Polytech Fed Lausanne, LMF ISE FSTI, CH-1015 Lausanne, Switzerland

[2] Brown Univ, Div Appl Math, Providence, RI 02912 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2003年 / 189卷 / 02期

关键词：

FENE dumbbell model; Fokker-Planck equation; spectral methods;

D O I：

10.1016/S0021-9991(03)00248-1

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we introduce a new method for solving efficiently the Fokker-Planck equation arising in the simulation of dilute polymeric solutions. For a two-dimensional FENE (Finitely Extensible Nonlinear Elastic) model, the structure of the Fokker-Planck equation is used to design a fast solver. The resulting equations are discretized with a spectral/spectral element method. Application of the method to flow of a FENE fluid past a confined cylinder demonstrates readily the advantages of the proposed scheme over traditional stochastic simulations. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：607 / 625

页数：19

共 28 条

[1]

ARMSTRONG RC, 1996, P 12 INT C RHEOL LAV

[2] Viscoelastic flow past a confined cylinder of a low density polyethylene melt [J].

Baaijens, FPT ;

Selen, SHA ;

Baaijens, HPW ;

Peters, GWM ;

Meijer, HEH .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1997, 68 (2-3) :173-203

[3]

Bird R.B., 1987, DYNAMICS POLYM LIQUI, V2

[4] Variance reduction methods for CONNFFESSIT-like simulations [J].

Bonvin, J ;

Picasso, M .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1999, 84 (2-3) :191-215

[5]

Bonvin J.C., 2000, THESIS ECOLE POLYTEC

[6]

Canuto C., 2012, Spectral Methods: Fundamentals in Single Domains

[7] How accurate is your solution?: Error indicators for viscoelastic flow calculations [J].

Chauvière, C ;

Owens, RG .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2000, 95 (01) :1-33

[8] A new spectral element method for the reliable computation of viscoelastic flow [J].

Chauvière, C ;

Owens, RG .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2001, 190 (31) :3999-4018

[9]

CHAUVIERE C, IN PRESS COMPUT FLUI

[10] The flow of an Oldroyd-B fluid past a cylinder in a channel:: adaptive viscosity vorticity (DAVSS-ω) formulation [J].

Dou, HS ;

Phan-Thien, N .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1999, 87 (01) :47-73

← 1 2 3 →