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

Shun Zou; Xue-Feng Yuan; Xuejun Yang; Wei Yi; Xinhai Xu

doi:10.1016/j.jnnfm.2014.07.003

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

Shun Zou, Xue-Feng Yuan, Xuejun Yang, Wei Yi, Xinhai Xu

The University of Manchester

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	99-113
Number of pages	15
Journal	Journal of Non-Newtonian Fluid Mechanics
Volume	211
Issue number	September 2014
DOIs	https://doi.org/10.1016/j.jnnfm.2014.07.003
Publication status	Published - 23 Jul 2014

Keywords

Integrated scheme
Lattice Boltzmann method
Finite volume method
Viscoelastic fluid flows

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10.1016/j.jnnfm.2014.07.003

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title = "An integrated lattice Boltzmann and finite volume method for the simulation of viscoelastic fluid flows",

abstract = "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.",

keywords = "Integrated scheme, Lattice Boltzmann method, Finite volume method, Viscoelastic fluid flows",

author = "Shun Zou and Xue-Feng Yuan and Xuejun Yang and Wei Yi and Xinhai Xu",

year = "2014",

month = jul,

day = "23",

doi = "10.1016/j.jnnfm.2014.07.003",

language = "English",

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journal = "Journal of Non-Newtonian Fluid Mechanics",

publisher = "Elsevier BV",

number = "September 2014",

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TY - JOUR

T1 - An integrated lattice Boltzmann and finite volume method for the simulation of viscoelastic fluid flows

AU - Zou, Shun

AU - Yuan, Xue-Feng

AU - Yang, Xuejun

AU - Yi, Wei

AU - Xu, Xinhai

PY - 2014/7/23

Y1 - 2014/7/23

N2 - 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.

AB - 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.

KW - Integrated scheme

KW - Lattice Boltzmann method

KW - Finite volume method

KW - Viscoelastic fluid flows

U2 - 10.1016/j.jnnfm.2014.07.003

DO - 10.1016/j.jnnfm.2014.07.003

M3 - Article

VL - 211

SP - 99

EP - 113

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

IS - September 2014

ER -

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

Abstract

Keywords

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