• Acta Physica Sinica
  • Vol. 68, Issue 9, 094202-1 (2019)
Wen-Ke Xie1, Jun-Sheng Liu1, Jia-Le Fei1, Quan Zhou2, Hui Xia1、*, Xin Chen1, Pan Zhang1, Yi-Ming Peng1, and Tao Yu1
Author Affiliations
  • 1School of Physics and Electronics, Central South University, Changsha 410083, China
  • 2College of Advanced Interdisciplinary Studies, National University of Defense Technology, Changsha 410073, China
  • show less
    DOI: 10.7498/aps.68.20182269 Cite this Article
    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 Copy Citation Text show less
    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. 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
    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. 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
    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. 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
    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. 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)
    Distribution of weighting functions at some stream-wise locations.部分流向点处的权重函数分布
    Fig. 5. Distribution of weighting functions at some stream-wise locations.部分流向点处的权重函数分布
    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. 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
    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
    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
    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
    Download Citation