Abstract In this paper, a streamline-based (SLB) pressure reconstruction method for particle image velocimetry (PIV) data, which has great potential to reduce the error propagation across relatively strong shock wave (compared with the conventional spatial integration method) and decrease computation cost and operation difficulty [compared with the MacCormack method (Liu et al. 2017, 2019)] in supersonic flows, is comprehensively analyzed and evaluated by numerical and experimental velocity fields. First, the theoretical error model caused by particle relaxation is built by an oblique shock wave. Then, the feasibility of this method in five typical kinds of shock flows is verified based on a simulated Mach interaction velocity field generated by two wedges of 17° and 22°. Besides, the effects of random velocity error, streamline resolution, velocity spatial resolution and out-of-plane component on the pressure reconstruction are also analyzed in detail. Finally, the PIV measurements of oblique and bow shock waves with a free stream Mach number of 2.91 are conducted for experimental validation. These results confirm the feasibility, robustness and good accuracy of the SLB method in supersonic flows with relatively strong shock waves. Graphic abstract

中文翻译：

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基于流线的冲击波超音速流中 PIV 数据的压力重建评估

摘要 本文提出了一种基于流线（SLB）的粒子图像测速（PIV）数据的压力重建方法，该方法具有降低相对强冲击波（与传统空间积分方法相比）的误差传播和减少计算量的巨大潜力。通过数值和实验速度场综合分析和评估超音速流动中的成本和操作难度 [与 MacCormack 方法相比 (Liu et al. 2017, 2019)]。首先，通过斜激波建立粒子弛豫引起的理论误差模型。然后，基于17°和22°两个楔块产生的模拟马赫相互作用速度场，验证了该方法在五种典型激波流中的可行性。此外，随机速度误差、流线分辨率、还详细分析了压力重建的速度空间分辨率和面外分量。最后，对自由流马赫数为 2.91 的斜激波和弓激波进行 PIV 测量以进行实验验证。这些结果证实了 SLB 方法在具有相对强冲击波的超音速流动中的可行性、鲁棒性和良好的准确性。图形摘要