基于插值法对坐标轴旋转下涡环速度场的重构
Reconstruction of Vortex Ring Velocity Field under Coordinate Axis Rotation Based on Interpolation Method
DOI: 10.12677/APP.2022.122012, PDF,   
作者: 高晗庭, 邱民京, 高磊*：四川大学空天科学与工程学院，四川 成都
关键词: 立体PIV；涡环；插值；流场重构；Three-Dimensional PIV； Vortex Ring； Interpolation； Flow Filed Reconstruction
摘要: 立体PIV技术现在被广泛用于旋翼尾迹流场的测量，本文提出在多个方向角平面内进行立体PIV测量以获得平面内较高的测量精度，再在不同测量剖面之间采用插值的方法重构三维空间速度场，从而获得可靠和准确的旋翼三维流场立体重构结果。根据上述实验要求，本文提出了在柱坐标下，以现有的涡环模型，将其坐标轴沿θ=π/2顺时针旋转一定的角度，基于MATLAB得到其不同方位角下r-z平面内速度绝对值大小的分布。再利用插值算法重构涡环三维速度场，并与真实值进行比较和误差分析，得到了良好的一致性，为立体PIV重构旋翼尾迹三维流场提供了理论算法基础和可行性分析。
Abstract: Three-dimensional PIV technique has been widely used in the rotor wake flow field measurement, this paper puts forward the multiple direction angle plane three-dimensional PIV measurement to get high measuring precision of the plane, and adopts the method of interpolation between different measurement profiles to reconstruct three-dimensional space velocity field, to obtain reliable and accurate rotor three-dimensional flow field of the three-dimensional reconstruction results. According to the above experimental requirements, the paper proposes that in cylindrical coordinates, the existing vortex ring model is used to rotate its coordinate axis clockwise along θ=π/2 by a certain angle, and the distribution of the absolute value of velocity in the r-z plane under different azimuth angles is obtained based on MATLAB. The interpolation algorithm was used to reconstruct the three-dimensional velocity field of the vortex ring, and the comparison and error analysis with the real value were carried out. A good consistency was obtained, which provided a theoretical algorithm basis and a feasibility analysis for three-dimensional PIV reconstruction of the three-dimensional flow field of the rotor wake.
文章引用：高晗庭, 邱民京, 高磊. 基于插值法对坐标轴旋转下涡环速度场的重构[J]. 应用物理, 2022, 12(2): 90-102. https://doi.org/10.12677/APP.2022.122012

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