Volume 27 Issue 1
Jan.  2012
Turn off MathJax
Article Contents
WU Hong, WANG Jiao. Large eddy simulation of square duct turbulence based on the lattice Boltzmann method[J]. Journal of Aerospace Power, 2012, 27(1): 1-8.
Citation: WU Hong, WANG Jiao. Large eddy simulation of square duct turbulence based on the lattice Boltzmann method[J]. Journal of Aerospace Power, 2012, 27(1): 1-8.

Large eddy simulation of square duct turbulence based on the lattice Boltzmann method

  • Received Date: 2011-03-04
  • Rev Recd Date: 2011-07-06
  • Publish Date: 2012-01-28
  • Large eddy simulation(LES),based on the lattice Boltzmann equation (LBE),was used to study the square duct turbulent flow at a shear Reynolds number equal to 300 based on the hydraulic diameter and the friction velocity.The flow field was simulated by the multiple relaxation time lattice Boltzmann equation.The non-closure term after filtering was modeled by the shear improved Smagorinsky sub-grid stress model.To combine the lattice Boltzmann and large eddy simulation,the subgrid scales turbulent viscosity was related to the subgrid-scale relaxation time.Then the effective relaxation times were computed locally.The turbulent statistics quantities,including the mean streamwise velocity,mean second velocity,the root-mean-square velocity and the instantaneous streamwise voriticity on different sections,were computed.The comparison result,with the DNS and experimental data,shows that the LES based on the LBE can be used to study the bounded turbulent flow.

     

  • loading
  • [1]
    Demuren A O,Rodi W.Calculation of turbulence-driven secondary motion in non-circular ducts[J].Journal of Fluid Mechanics,1984,140:189-222.
    [2]
    Gavrilakis S.Numerical simulation of low Reynolds number turbulent flow through a straight square duct[J].Journal of Fluid Mechanics,1992,244:101-129.
    [3]
    Huser A,Biringen S.Direct numerical simulation of turbulent flow in a square duct[J].Journal of Fluid Mechanics,1993,257:65-95.
    [4]
    Madabhushi R K, Vanka S P.Large eddy simulation of turbulence-driven secondary flow in a square duct[J].Physics of Fluids A:Fluid Dynamics,1991,3(11):2734-2745.
    [5]
    Kajishima T,Miyake Y. A discussion on eddy viscosity models on the basis of the large eddy simulation of turbulent flow in a square duct[J].Computers & Fluids,1992,21(2):151-161.
    [6]
    Su M D,Friedrich R.Investigation of fully developed turbulent flow in a straight duct with large eddy simulation[J].Journal of Fluids Engineering,1994,116(4):677-684.
    [7]
    Aidun C K,Clausen J R. Lattice-Boltzmann method for complex flows[J].Annual Review of Fluid Mechanics,2010,42:439-472.
    [8]
    Lammers P,Beronov K N,Volkert R,et al.Lattice BGK direct numerical simulation of fully developed turbulence in incompressible plane channel flow[J].Computers & Fluids,2006,35(10):1137-1153.
    [9]
    Teixeira C M. Incorporating turbulence models into the lattice-Boltzmann method[J].International journal of Modern Physics C,1998,9(8):1159-1175.
    [10]
    Premnath K N,Pattison M J,Banerjee S.Generalized lattice Boltzmann equation with forcing term for computation of wall-bounded turbulent flows[J].Physical Review E,2009,79(2):026703(19 pages).
    [11]
    Pattison M J,Premnath K N,Banerjee S.Computation of turbulent flow and secondary motions in a square duct using a forced generalized lattice Boltzmann equation[J].Physical Review E,2009,79(2):026704(13 pages).
    [12]
    Lévêque E,Toschi F,Shao L,et al.Shear-improved Smagorinsky model for large-eddy simulation of wall-bounded turbulent flows[J].Journal of Fluid Mechanics,2007,570:491-502.
    [13]
    Germano M,Piomelli U,Moin P,et al.A dynamic subgrid-scale eddy viscosity model[J].Physics of Fluids A:Fluid Dynamics,1991,3(7):1760-1765.
    [14]
    Lilly D K.A proposed modification of the Germano subgrid-scale closure method[J].Physics of Fluids A:Fluid Dynamics,1992,4(3):633-635.
    [15]
    HE Xiaoyi,LUO Lishi.Theory of the lattice Boltzmann method: from the Boltzmann equation to the lattice Boltzmann equation[J].Physical Review E,1997,56(6):6811-6817.
    [16]
    Lallemand P,Luo Lishi.Theory of the lattice Boltzmann method:dispersion,dissipation,isotropy,Galilean invariance,and stability[J].Physical Review E,2000,61(6):6546-6562.
    [17]
    Premnath K N,Abraham J. Three-dimensional multi-relaxation time (MRT) lattice-Boltzmann models for multiphase flow[J].Journal of Computational Physics,2007,224(2):539-559.
    [18]
    Guo Z,Zheng C,Shi B.Discrete lattice effects on the forcing term in the lattice Boltzmann method [J].Physical Review E,2002,65(4):046308(6 pages).
    [19]
    Lam K,Banerjee S.On the condition of streak formation in a bounded turbulent flow [J].Physics of Fluids A:Fluid Dynamics,1992,4(2):306-320.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2012) PDF downloads(451) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return