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首页> 外文期刊>Experiments in Fluids: Experimental Methods and Their Applications to Fluid Flow >A novel approach for reconstructing pressure from PIV velocity measurements
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A novel approach for reconstructing pressure from PIV velocity measurements

机译：从PIV速度测量中重建压力的新方法

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The purpose of this work is to develop an innovative procedure for reconstructing the pressure field from PIV velocity measurements of unsteady, incompressible flows. The proposed technique is based on a generalization of the Glowinski-Pironneau method for the uncoupled solution of the incompressible Navier-Stokes equations written in primitive variables and exploits a finite element discretization of the measurement grid. By virtue of the underlying mathematical formulation, the method is stable and more accurate than the other techniques proposed so far in the literature. The method is first applied to an exact solution of the Navier-Stokes equations, showing second-order convergence of the L8 error for the pressure variable. The robustness of the method with respect to stochastic perturbations in the velocity field is then tested and the results compared with other techniques proposed in the literature. Finally, the proposed technique is applied to both phase-averaged and time-resolved PIV velocity measurements of the flow around a pitching airfoil employed to investigate the dynamic stall. The reconstructed pressure is compared with direct pressure measurements, showing very encouraging results.
机译：这项工作的目的是开发一种创新的方法，用于从不稳定，不可压缩流的PIV速度测量值重建压力场。所提出的技术基于Glowinski-Pironneau方法的一般化，用于求解用原始变量编写的不可压缩Navier-Stokes方程的解耦，并利用了测量网格的有限元离散化。借助于基础的数学公式，该方法比迄今为止文献中提出的其他技术更稳定，更准确。该方法首先应用于Navier-Stokes方程的精确解，显示了压力变量L8误差的二阶收敛性。然后测试了该方法对于速度场中随机扰动的鲁棒性，并将结果与​​文献中提出的其他技术进行了比较。最后，将所提出的技术应用于用于研究动力失速的俯仰翼型周围流的相位平均和时间分辨PIV速度测量。将重建的压力与直接压力测量进行比较，显示出令人鼓舞的结果。

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