【源码】风场的三维数值模拟

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【源码】风场的三维数值模拟

对一个三元湍流风场（u、v、w分量）进行了三维数值模拟。

A three-variate turbulent wind field (u,v and w components) is simulated in three-dimensions.

讨论三维（空间二维、时间一维）湍流风场（u，v，w分量）的模拟。

The present submission deals with the simulation of turbulent wind field (u,v,w, components) in 3-D (two dimensions for space and one for the time).

模拟的计算效率依赖于参考文献[1]，这使得模拟时间比函数windSim要短得多。

The computational efficiency of the simulation relies on Ref. [1], which leads to a significantly shorter simulation time than the function windSim, also available on fileExchange.

然而，这里只考虑垂直于流动方向的规则二维垂直网格的情况。

However, only the case of a regular 2D vertical grid normal to the flow is here considered.

所有文件包括：

• 示例文件Example1简单说明了输出变量。

• 示例文件Example2更完整，它模拟了7x7网格上的三维湍流风场。

• Example1使用的数据文件为exampleData.mat。

• 函数windSimFast.m用于生成湍流风场。参考文献[2]中使用windSimFast.m完成了类似的仿真模拟。

• 函数getSamplingpara.m用于计算时间和频率向量。

• 函数KaimalModel.m，根据Kaimal模型[3]，生成速度波动的单点自谱密度和交叉谱密度。已经修正了Kaimal等人使用的交叉谱密度公式，因此模拟的摩擦速度与目标速度相等。

• coherence函数用于估计均方根相干性、共相干性和四元相干性。

The submission contains:

• An example file Example1 that illustrates simply how the output variables look like.

• An example file Example2, which is more complete, and which simulates a 3-D turbulent wind field on a 7x7 grid.

• A data file exampleData.mat used in Example1.

• The function windSimFast.m, which is used to generate the turbulent wind field. A similar implementation of windSimFast.m was used in ref. [2].

• The function getSamplingpara.m, which computes the time and frequency vectors.

• The function KaimalModel.m, which generates the one-point auto and cross-spectral densities of the velocity fluctuations, following the Kaimal model [3]. I have corrected the cross-spectrum density formula used by Kaimal et al. so that the simulated friction velocity is equal to the target one.

• The function coherence used to estimate the root-mean-square coherence, the co-coherence and the quad-coherence.

参考文献：

References:

[1] Shinozuka, M., & Deodatis, G. (1991). Simulation of stochastic processes by spectral representation. Applied Mechanics Reviews, 44(4), 191-204.

[2] Wang, J., Cheynet, E., Snæbjörnsson, J. Þ., & Jakobsen, J. B. (2018). Coupled aerodynamic and hydrodynamic response of a long span bridge suspended from floating towers. Journal of Wind Engineering and Industrial Aerodynamics, 177, 19-31.

[3] Davenport, A. G. (1961). The spectrum of horizontal gustiness near the ground in high winds. Quarterly Journal of the Royal Meteorological Society, 87(372), 194-211.

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