Weighted divergence correction scheme and its fast implementation

Weighted divergence correction scheme and its fast implementation
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加权散度校正方案及其快速实现

DOI:
10.1007/s00348-017-2307-0
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发表时间:
2017-04
影响因子:
2.4
通讯作者:
Wang JinJun
Wang JinJun
中科院分区:
工程技术3区
文献类型:
--
作者:
Wang ChengYue;Gao Qi;Wei RunJie;Li Tian;Wang JinJun

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强迫实验体积速度场满足质量守恒原理,对提高测量数据质量是有益的。为了消除测量速度场中的发散误差,人们提出了包括发散校正方案在内的多种校正方法。对于层析粒子图像测速(TPIV)数据,沿光厚度方向的速度分量的测量不确定度通常比其他两个分量大得多。这种有偏的测量误差会削弱传统校正方法的性能。在现有分布式控制系统的基础上,对三个速度分量加入加权系数,提出了加权分布式控制系统(WDCS)。采用广义交叉验证法(GCV)选择合适的权重系数。开发了一种适用于分散控制系统或分散控制系统的快速算法,使校正过程的实施成本大大降低。在校正带有偏置噪声水平的速度分量时,WDC具有很强的优势。数值试验验证了快速算法的精度和效率、GCV方法的有效性和WDCS的优势。最后,用分布式控制系统和分布式控制系统处理了湍流边界层TPIV测量得到的实验速度场。这表明WDC在改善某些流量统计方面取得了比分布式控制系统更好的性能。
Forcing the experimental volumetric velocity fields to satisfy mass conversation principles has been proved beneficial for improving the quality of measured data. A number of correction methods including the divergence correction scheme (DCS) have been proposed to remove divergence errors from measurement velocity fields. For tomographic particle image velocimetry (TPIV) data, the measurement uncertainty for the velocity component along the light thickness direction is typically much larger than for the other two components. Such biased measurement errors would weaken the performance of traditional correction methods. The paper proposes a variant for the existing DCS by adding weighting coefficients to the three velocity components, named as the weighting DCS (WDCS). The generalized cross validation (GCV) method is employed to choose the suitable weighting coefficients. A fast algorithm for DCS or WDCS is developed, making the correction process significantly low-cost to implement. WDCS has strong advantages when correcting velocity components with biased noise levels. Numerical tests validate the accuracy and efficiency of the fast algorithm, the effectiveness of GCV method, and the advantages of WDCS. Lastly, DCS and WDCS are employed to process experimental velocity fields from the TPIV measurement of a turbulent boundary layer. This shows that WDCS achieves a better performance than DCS in improving some flow statistics.
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