A novel approach for reconstructing pressure from PIV velocity measurements
A novel approach for reconstructing pressure from PIV velocity measurements
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DOI：
10.1007/s00348-015-1912-z
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发表时间：
2015-02
影响因子：
2.4
通讯作者：
F. Auteri;M. Carini;D. Zagaglia;D. Montagnani;G. Gibertini;C. Merz;A. Zanotti
中科院分区：
文献类型：
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作者：
F. Auteri;M. Carini;D. Zagaglia;D. Montagnani;G. Gibertini;C. Merz;A. Zanotti
这项工作的目的是开发一种创新的程序，用于从非定常，不可压缩流动的PIV速度测量重建压力场。提出的技术是基于Glowinski-Pironneau方法的推广，该方法用于用原始变量表示的不可压缩Navier-Stokes方程的解耦解，并利用了测量网格的有限元离散化。由于基本的数学公式，该方法比迄今为止在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，显示了压力变量误差的二阶收敛性。然后测试了该方法对速度场随机扰动的鲁棒性，并将结果与文献中提出的其他技术进行了比较。最后，提出的技术被应用于相位平均和时间分辨的PIV速度测量，用于研究俯仰翼型的动态失速。将重建的压力与直接测量的压力进行了比较，得到了令人鼓舞的结果。
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 theerror 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.