运动壁面槽道流动的直接数值模拟

葛铭纬; 许春晓; 崔桂香

doi:10.3879/j.issn.1000-0887.2010.01.010

运动壁面槽道流动的直接数值模拟

doi: 10.3879/j.issn.1000-0887.2010.01.010

清华大学航天航空学院,北京 100084

基金项目: 国家自然科学基金资助项目(10772098)

详细信息

作者简介:
葛铭纬(1984- ),男,山东人,博士生(E-mail:gmw06@mails.tsinghua.edu.cn);许春晓,教授,博士(联系人.Tel:+86-10-62780576;E-mail:xucx@tsinghua.edu.cn).

中图分类号: O357.5
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出版历程
- 收稿日期: 2009-05-13
- 修回日期: 2009-11-26
- 刊出日期: 2010-01-15

Direct Numerical Simulation of Flow in a Channel With Time-Dependent Wall Geometry

School of Aerospace, Tsinghua University, Beijing 100084, P. R. China

摘要

摘要: 采用谱方法，在曲线坐标系下对不可压缩Newton流体的N-S方程进行求解，采用定义在物理空间中的流动物理量以避免使用协变、逆变形式的控制方程．在计算空间采用Fourier-Chebyshev谱方法进行空间离散，时间推进采用高精度时间分裂法．为了减小时间分裂带来的误差，采用了高精度的压力边界条件．与其他求解协变、逆变形式控制方程的谱方法相比，该方法在保持谱精度的同时减小了计算量．首先通过静止波形壁面和行波壁面槽道湍流的直接数值模拟，对该数值方法进行了验证；其次，作为初步应用，利用该方法研究了槽道湍流中周期振动凹坑所产生的流动结构．
- 谱方法 /
- 运动壁面 /
- 槽道 /
- 湍流
Abstract: A numerical scheme was developed to extend the scope of the spectralm ethod without solving the covariant and contra-variant form of Navier-Stokes equations in curvilinear coordinates. The primitive variables were rep resented by Fourier series and Chebyshev polynomials in computational space. The time advan cement was accom plished by a high-order tmie-splitting method, and a corresponding high-order pressure condition at the wall was in troduced to reduce the splitting error. Compared with the previous pseudo-spectral scheme, in which the Navier-Stokes equations were solved in covariant and contra-variant form, the present scheme reduced the computational cost, at the same time kept the spectral accuracy. The scheme was tested by the simulation of turbulent flow in a channel with a static streamwise wavy wall and turbulent flow over a flexible wallundergoing streamwise traveling wave motion. Turbulent flow over an oscillating dimple was studied using present numerical scheme, and the periodic generation of vortical structures was analyzed.
- spectralm ethod /
- time-dependent wall geometry /
- turbulent flow /

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参考文献(19)

[1]	Moin P, Mahesh K. Direct numerical simulation: a tool in turbulence research[J]. Annual Review of Fluid Mechanics, 1998, 30:539-578. doi: 10.1146/annurev.fluid.30.1.539
[2]	Mani R, Lagoudas D C, Rediniotis O K. Active skin for turbulent drag reduction[J]. Smart Materials and Structures, 2008, 17(3):035004. doi: 10.1088/0964-1726/17/3/035004
[3]	Gad-el-Hak M. Compliant coatings for drag reduction[J]. Progress in Aerospace Sciences,2002, 38(1):77-99. doi: 10.1016/S0376-0421(01)00020-3
[4]	Orszag S A, Patterson G S. Numerical simulation of three-dimensional homogeneous isotropic turbulence[J]. Physical Review Letters, 1972, 28(2):76-79. doi: 10.1103/PhysRevLett.28.76
[5]	Kim J, Moin P, Moser R. Turbulence statistics in fully developed channel flow at low Reynolds number[J]. Journal of Fluid Mechanics, 1987, 177:133-166. doi: 10.1017/S0022112087000892
[6]	Carlson H A, Berkooz G, Lumley J L. Direct numerical simulation of flow in a channel with complex time-dependent wall geometries: a pseudospectral method[J]. Journal of Computational Physics, 1995, 121(1):155-175. doi: 10.1006/jcph.1995.1186
[7]	Luo H, Bewley T R. On the contravariant form of the Navier-Stokes equations in time-dependent curvilinear coordinate systems[J]. Journal of Computational Physics, 2004, 199(1):355-375. doi: 10.1016/j.jcp.2004.02.012
[8]	Kang S, Choi H. Active wall motions for skin-friction drag reduction[J]. Physics of Fluids, 2000, 12(12):3301-3304. doi: 10.1063/1.1320833
[9]	Shen L, Zhang X, Yue D K P, et al. Turbulence flow over a flexible wall undergoing a streamwise traveling wave motion[J]. Journal of Fluid Mechanics, 2003, 484:197-221. doi: 10.1017/S0022112003004294
[10]	Karniadakis G E, Isreali M, Orszag S A. High-order splitting methods for the incompressible Navier-Stokes equations[J].Journal of Computational Physics, 1991, 97(2):414-443. doi: 10.1016/0021-9991(91)90007-8
[11]	Xu C, Zhang Z, Nieuwstadt F T M, et al.Origin of high kurtosis levels in the viscous sublayer. direct numerical simulation and experiment[J].Physics of Fluids, 1996, 8(7): 1938-1944. doi: 10.1063/1.868973
[12]	Angelis V D, Lombardi P, Banerjee S. Direct numerical simulation of turbulent flow over a wavy wall[J].Physics of Fluids, 1997, 9(8):2429-2442. doi: 10.1063/1.869363
[13]	Dukowicz J K, Dvinsky A S. Approximate factorization as a high order splitting for the implicit incompressible flow equations[J]. Journal of Computational Physics, 1992, 102(2):336-347. doi: 10.1016/0021-9991(92)90376-A
[14]	Gresho P M. On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix—part 1: theory[J]. International Journal for Numerical Methods in Fluids, 1990, 11(5):587-620. doi: 10.1002/fld.1650110509
[15]	Marcus P S. Simulation of the Taylor-Couette flow—part 1:numerical methods and comparison with experiments[J]. Journal of Fluid Mechanics, 1984, 146:45-46. doi: 10.1017/S0022112084001762
[16]	Kleizer L, Schumman U. Treatment of incompressibility and boundary conditions in 3-D numerical spectral simulations of plane channel flow[C]Hirschel E H.Proc 3rd GAMM Conf Numerical Methods in Fluid Mechanics.Cologne,1979.
[17]	Hudson J D, Dykhno L, Hanratty T J. Turbulence production in flow over a wavy wall[J].Experiments in Fluids, 1996, 20(4):257-265.
[18]	Cherukat P, Na Y, Hanratty T J, et al. Direct numerical simulation of a fully developed turbulent flow over a wavy wall[J]. Theoretical and Computational Fluid Dynamics, 1998, 11(2):109-134. doi: 10.1007/s001620050083
[19]	Hunt J C F, Wray A A, Moin P. Eddies, stream, and convergence zones in turbulent flows[R]. Center for Turbulence Research, 1988, CTR-S88:193-208.

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运动壁面槽道流动的直接数值模拟

doi: 10.3879/j.issn.1000-0887.2010.01.010

作者简介:
葛铭纬(1984- ),男,山东人,博士生(E-mail:gmw06@mails.tsinghua.edu.cn);许春晓,教授,博士(联系人.Tel:+86-10-62780576;E-mail:xucx@tsinghua.edu.cn).

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Direct Numerical Simulation of Flow in a Channel With Time-Dependent Wall Geometry

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运动壁面槽道流动的直接数值模拟

doi: 10.3879/j.issn.1000-0887.2010.01.010

作者简介: 葛铭纬(1984- ),男,山东人,博士生(E-mail:gmw06@mails.tsinghua.edu.cn);许春晓,教授,博士(联系人.Tel:+86-10-62780576;E-mail:xucx@tsinghua.edu.cn).

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出版历程

Direct Numerical Simulation of Flow in a Channel With Time-Dependent Wall Geometry

计量

出版历程

目录

作者简介:
葛铭纬(1984- ),男,山东人,博士生(E-mail:gmw06@mails.tsinghua.edu.cn);许春晓,教授,博士(联系人.Tel:+86-10-62780576;E-mail:xucx@tsinghua.edu.cn).