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)

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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).

计量

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).