Wen-Ke Xie, Jun-Sheng Liu, Jia-Le Fei, Quan Zhou, Hui Xia, Xin Chen, Pan Zhang, Yi-Ming Peng, Tao Yu. Influence of weighting function on accuracy of supersonic mixing layer wave-front variance estimation with linking equation [J]. Acta Physica Sinica, 2019, 68(9): 094202-1

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- Acta Physica Sinica
- Vol. 68, Issue 9, 094202-1 (2019)

Fig. 1. Image of mixing layer: (a) Original image; (b) image after pre-processing.混合层流场图像 (a)原始图像; (b)噪声和背景光预处理后图像

Fig. 2. Wave-front variance calculated by generalized linking equation, exponential linking equation and Gaussian linking equation.广义关联方程、指数型和高斯型关联方程计算的波前方差

Fig. 3. Errors of using gaussian linking equation and generalized linking equation to calculate wave-front variance.高斯型关联方程和广义关联方程计算波前方差的误差

Fig. 4. Correlations of density fluctuations: (a) Central point (200, 148); (b) central point (480, 140); (c) central point (800, 112); (d) central point (1000, 100).密度脉动相关函数分布 (a)中心点(200, 148); (b)中心点(480, 140); (c)中心点(800, 112); (d)中心点(1000, 100)

Fig. 5. Distribution of weighting functions at some stream-wise locations.部分流向点处的权重函数分布

Fig. 6. Integral kernel distribution calculated by Gaussian linking equation before and after adding weighting function: (a) Before adding the weighting function; (b) after adding the weighting function; (c) the integral kernel distribution differences.高斯型关联方程加入权重函数前后的积分核分布 (a)未加入权重函数; (b)加入权重函数; (c)积分核分布差

Fig. 7. Wave-front variance calculated by Gaussian linking equation before and after adding weighting function.高斯型关联方程加入权重函数前后计算波前方差对比
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