Improvement and application of wall function boundary condition for high-speed compressible flows
Improvement and application of wall function boundary condition for high-speed compressible flows
复制标题
高速可压缩流壁函数边界条件的改进及应用
DOI：
10.1007/s11431-013-5349-4
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发表时间：
2013-09
期刊：
影响因子：
--
通讯作者：
Lee Chun-Hian
中科院分区：
文献类型：
--
作者：
Gao Zhenxun;Jiang Chongwen;Lee Chun-Hian
为了发展一种适用于高速流动的壁面函数边界条件，以减少模拟壁面摩擦和热流的网格依赖性，对Nichols提出的可压缩壁面函数边界条件进行了改进。在理论分析和数值模拟的基础上，对壁面速度定律中的参数取值进行了修正，并对壁面温度定律的表达式进行了修正。此外，还推导了近壁区导热项的计算公式，从而更准确地实现了壁面函数边界条件与CFD程序的耦合。然后，对改进后的墙体函数进行了应用研究。平板上超音速湍流边界层的数值算例表明，对于初始壁面间距为y+<；400的粗网格，修正后的壁面函数得到了合理的壁面摩阻和热流分布以及速度、温度和湍流涡粘性分布，对原壁面函数的修正可以明显提高模拟精度。至于分离流的应用，从超音速空腔流动和高超声速轴对称压缩拐角的数值算例中发现，在分离流内部的近壁区，最初基于充分发展的附加湍流边界层建立的壁面可压缩速度定律近似成立，这保证了分离流内部的壁面函数可以给出可靠的壁面摩擦和热流密度，而对于分离和再附着点附近的区域，壁面函数给出的结果误差较大。因为在壁面函数中使用的壁面速度定律与分离点和再附着点附近的真实速度剖面有明显的偏差。
In order to develop a wall function boundary condition for high-speed flows so as to reduce the grid-dependence of the simulation for the skin friction and heat flux, a research was performed to improve the compressible wall function boundary condition proposed by Nichols. Values of parameters in the velocity law-of-the-wall were revised according to numerical experiments and the expression of temperature law-of-the-wall was modified based on theoretical analysis and numerical simulation. Besides, the formula of the heat conduction term in near-wall region was derived so that the coupling between the wall function boundary condition and CFD code was realized more accurately. Whereafter, the application study of the modified wall function was carried out. The numerical case of supersonic turbulent boundary layer on a flat plate illustrated that the modified wall function produces reasonable results of skin friction and heat flux, and profiles of velocity, temperature and turbulent eddy viscosity for coarse grids with the initial wall spacing ofy+<400, and that the modifications to the original wall function can obviously improve the simulation precision. As for the application of separation flows, it was found from the numerical cases of supersonic cavity flow and hypersonic axisymmetric compression corner that the compressible velocity law-of-the-wall originally established based on the fully-developed attached turbulent boundary layer approximately holds in the near-wall region inside the separation flows, which ensures that reliable skin friction and heat flux can be given by the wall function inside the separation flows, while for the region near separation and reattachment points, the wall function gives results with a relatively large error, because the velocity law-of-the-wall used in the wall function takes on obvious deviation from the real velocity profiles near the separation and reattachment points.
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DOI：
10.1201/9781420050288
发表时间：
1999-11
期刊：
--
影响因子：
--
作者：
T. Papanastasiou;G. Georgiou;A. Alexandrou
通讯作者：
T. Papanastasiou;G. Georgiou;A. Alexandrou
影响因子：
2.5
作者：
R. Nichols;C. Nelson
通讯作者：
R. Nichols;C. Nelson
DOI：
10.7551/mitpress/3014.001.0001
发表时间：
1972
期刊：
--
影响因子：
--
作者：
H. Tennekes;J. Lumley
通讯作者：
H. Tennekes;J. Lumley
DOI：
10.2514/6.1997-2023
发表时间：
1997-06
期刊：
--
影响因子：
--
作者：
R. Paciorri;W. Dieudonné;G. Degrez;J. Charbonnier;H. Deconinck
通讯作者：
R. Paciorri;W. Dieudonné;G. Degrez;J. Charbonnier;H. Deconinck
DOI：
10.1007/s11431-010-4169-z
发表时间：
2010-11
期刊：
Science China Technological Sciences
影响因子：
--
作者：
Zhenxun Gao;Chunhian Lee
通讯作者：
Zhenxun Gao;Chunhian Lee