Backward-facing step velocity measurement of line array based on wavenumber-frequency spectrum analysis

PEI Rui; JIA Danping; ZHAO Kun; LIU Bo

doi:10.7638/kqdlxxb-2024.0048

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Backward-facing step velocity measurement of line array based on wavenumber-frequency spectrum analysis

更新时间：2026-05-28

- Backward-facing step velocity measurement of line array based on wavenumber-frequency spectrum analysis
- Vol. 42, Issue 12, Pages: 100-108(2024)
- 作者机构：
  
  1. 沈阳工业大学信息科学与工程学院,沈阳,110870
  2. 沈阳计量测试院,沈阳,110179
  3. 中国空气动力研究与发展中心,绵阳,621000
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2024.0048
  CLC： O357.1
- Published：2024
- 稿件说明：
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裴锐, 贾丹平, 赵鲲, 等. 基于波数-频率谱分析的线阵列后向台阶流速测量[J]. 空气动力学学报, 2024, 42(12): 100−108.

PEI Rui, JIA Danping, ZHAO Kun, et al. Backward-facing step velocity measurement of line array based on wavenumber-frequency spectrum analysis[J]. 2024, 42(12): 100-108.
裴锐, 贾丹平, 赵鲲, 等. 基于波数-频率谱分析的线阵列后向台阶流速测量[J]. 空气动力学学报, 2024, 42(12): 100−108. DOI： 10.7638/kqdlxxb-2024.0048

PEI Rui, JIA Danping, ZHAO Kun, et al. Backward-facing step velocity measurement of line array based on wavenumber-frequency spectrum analysis[J]. 2024, 42(12): 100-108. DOI： 10.7638/kqdlxxb-2024.0048.

摘要

后向台阶湍流介质流速测量存在重复性较低、鲁棒性较差的问题，为了解决这些问题，提出了一种基于波数-频率谱分析的线阵列传感器流速测量方法。首先，分析了后向台阶数据的湍流度和“泰勒冻结”信号特征；其次，使用频域波束形成算法和多信号分类算法将传感器数据从$ x-t $域转换至$ k-\omega $域，呈现出与后向台阶流速相关的特征“脊线”；然后，探究不同波束形成滤波算法和功率谱分块长度对流速“脊线”的影响；最后，应用波数-频率谱分析“脊线”斜率求解流速。结果表明波数-频率谱方法能够有效地实现后向台阶流速测量，与传统的互相关法比较，相对误差为2.83%，重复性为 0.32%，具有较好的重复性和鲁棒性。

Abstract

At present

a variety of algorithms have been used to measure the flow velocity of backward-facing step turbulent media

but most of them have the problems of low repeatability and poor robustness. Therefore

a velocity measurement method of line array sensors based on wavenumber-frequency spectrum analysis is proposed. Firstly

the turbulence degree and Taylor freeze signal characteristics of the backward-facing step data are analyzed. Secondly

FDBM and MUSIC algorithms are used to convert sensors data from the $ x-t $ domain to the $ k-\omega $ domain

showing the characteristic "ridge line" related to the backward-facing step velocity. Then

the influence of different beam forming filtering algorithms and power spectrum block length on velocity "ridge" is explored. Finally

wavenumber-frequency spectrum is used to analyze the slope of ridge line to solve the velocity. Compared with the traditional cross-correlation method

the relative error is 2.83$ {\text{%}} $ and the repeatability is 0.32$ {\text{%}} $. The results show that the wave-frequency spectrum method can effectively measure the backward-facing step flow velocity

has good repeatability and robustness.

关键词

Keywords

references

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