A comparison of stabilisation approaches for finite-volume simulation of viscoelastic fluid flow

被引：43

作者：

Chen, Xingyuan ^{[1
,2
]}

Marschall, Holger ^{[1
]}

Schaefer, Michael ^{[3
]}

Bothe, Dieter ^{[1
,4
]}

机构：

[1] Tech Univ Darmstadt, Ctr Smart Interfaces, D-64287 Darmstadt, Germany

[2] Tech Univ Darmstadt, Grad Sch Computat Engn, D-64293 Darmstadt, Germany

[3] Tech Univ Darmstadt, Dept Numer Methods Mech Engn, D-64293 Darmstadt, Germany

[4] Tech Univ Darmstadt, Dept Math, D-64289 Darmstadt, Germany

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS | 2013年 / 27卷 / 6-7期

关键词：

viscoelastic fluid; collocated finite-volume method; high Weissenberg number problem; stabilisation approach; Oldroyd-B model; HIGH WEISSENBERG NUMBER; CAVITY FLOW; OLDROYD-B; CYLINDER; CONTRACTION; EQUATIONS;

D O I：

10.1080/10618562.2013.829916

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this work we compare different stabilisation approaches currently used in the simulation of viscoelastic fluid flow. These approaches are: the both-sides diffusion, the positive definiteness preserving scheme, the log-conformation tensor representation and the symmetry factorisation of the conformation tensor. The evaluation of these approaches is done regarding their implementation complexity, stability, accuracy, efficiency and applicability to complex problems. Their performances are examined for an Oldroyd-B fluid in the test cases of lid-driven cavity, flow past a cylinder and 4:1 contraction flow. We summarise the situations in which the different approaches can be recommended.

引用

页码：229 / 250

页数：22

共 39 条

[1] A cell-vertex finite volume/element method on triangles for abrupt contraction viscoelastic flows [J].

Aboubacar, M ;

Webster, MF .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2001, 98 (2-3) :83-106

[2] The log-conformation tensor approach in the finite-volume method framework [J].

Afonso, A. ;

Oliveira, P. J. ;

Pinho, F. T. ;

Alves, M. A. .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2009, 157 (1-2) :55-65

[3] The kernel-conformation constitutive laws [J].

Afonso, A. M. ;

Pinho, F. T. ;

Alves, M. A. .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2012, 167 :30-37

[4] Dynamics of high-Deborah-number entry flows: a numerical study [J].

Afonso, A. M. ;

Oliveira, P. J. ;

Pinho, F. T. ;

Alves, M. A. .

JOURNAL OF FLUID MECHANICS, 2011, 677 :272-304

[5] Benchmark solutions for the flow of Oldroyd-B and PTT fluids in planar contractions [J].

Alves, MA ;

Oliveira, PJ ;

Pinho, FT .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2003, 110 (01) :45-75

[6] A convergent and universally bounded interpolation scheme for the treatment of advection [J].

Alves, MA ;

Oliveira, PJ ;

Pinho, FT .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2003, 41 (01) :47-75

[7] The flow of viscoelastic fluids past a cylinder: finite-volume high-resolution methods [J].

Alves, MA ;

Pinho, FT ;

Oliveira, PJ .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2001, 97 (2-3) :207-232

[8] Comparison of Different Formulations for the Numerical Calculation of Unsteady Incompressible Viscoelastic Fluid Flow [J].

Amoreira, L. J. ;

Oliveira, P. J. .

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2010, 2 (04) :483-502

[9] Symmetric factorization of the conformation tensor in viscoelastic fluid models [J].

Balci, Nusret ;

Thomases, Becca ;

Renardy, Michael ;

Doering, Charles R. .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2011, 166 (11) :546-553

[10]

Beris A. N., 2010, MODELING SIMULATION, P1

← 1 2 3 4 →