An integrated lattice Boltzmann and finite volume method for the simulation of viscoelastic fluid flows

被引:37
作者
Zou, Shun [1 ,3 ]
Yuan, Xue-Feng [1 ,2 ]
Yang, Xuejun [1 ]
Yi, Wei [1 ]
Xu, Xinhai [1 ]
机构
[1] Natl Univ Def Technol, State Key Lab High Performance Comp, Changsha 410073, Hunan, Peoples R China
[2] Natl Supercomp Ctr Guangzhou, Guangzhou 510006, Guangdong, Peoples R China
[3] Xian Commun Coll, Xian 710106, Shaanxi, Peoples R China
基金
中国国家自然科学基金;
关键词
Integrated scheme; Lattice Boltzmann method; Finite volume method; Viscoelastic fluid flows; VOLUME/ELEMENT METHOD; PLANAR CONTRACTION; REYNOLDS-NUMBER; OLDROYD-B; MODEL; CYLINDER; EQUATION; PROGRESS;
D O I
10.1016/j.jnnfm.2014.07.003
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A novel integrated scheme for modeling incompressible polymer viscoelastic fluid flows is proposed. Lattice Boltzmann method (LBM) is incorporated into finite volume method (FVM) to solve the incompressible Navier-Stokes equations and the constitutive equation respectively, and is implemented using open source CFD toolkits to predict nonlinear dynamics of polymer viscoelastic fluid flows. The hybrid numerical scheme inherits the efficiency and scalability of LBM and maintains the accuracy and generality of FVM. It has been critically validated using the Oldroyd-B model and linear PTT model under Poiseuille flow, Taylor-Green vortex flow and 4: 1 abrupt planar contraction flow, respectively. The results from the integrated scheme have good agreement with the analytical solutions and the numerical results of other FVM schemes in previous publications. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:99 / 113
页数:15
相关论文
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]   Highly elastic solutions for Oldroyd-B and Phan-Thien/Tanner fluids with a finite volume/element method: planar contraction flows [J].
Aboubacar, M ;
Matallah, H ;
Webster, MF .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2002, 103 (01) :65-103
[3]   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
[4]   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
[5]   A MODEL FOR COLLISION PROCESSES IN GASES .1. SMALL AMPLITUDE PROCESSES IN CHARGED AND NEUTRAL ONE-COMPONENT SYSTEMS [J].
BHATNAGAR, PL ;
GROSS, EP ;
KROOK, M .
PHYSICAL REVIEW, 1954, 94 (03) :511-525
[6]  
Bird R. B., 1987, FLUID MECH, V1
[7]  
Carew E.O., 1994, NUM METH PDE, V10, P171
[8]   SPH simulations of transient viscoelastic flows at low Reynolds number [J].
Ellero, M ;
Tanner, RI .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2005, 132 (1-3) :61-72
[9]  
Fietier Nicolas, 2002, THESIS STI LAUSANNE
[10]   LATTICE BOLTZMANN MODEL OF IMMISCIBLE FLUIDS [J].
GUNSTENSEN, AK ;
ROTHMAN, DH ;
ZALESKI, S ;
ZANETTI, G .
PHYSICAL REVIEW A, 1991, 43 (08) :4320-4327