Experiments in Fluids

, 57:104 | Cite as

An irrotation correction on pressure gradient and orthogonal-path integration for PIV-based pressure reconstruction

  • Zhongyi Wang
  • Qi Gao
  • Chengyue Wang
  • Runjie Wei
  • Jinjun Wang
Research Article


Particle image velocimetry (PIV)-based pressure reconstruction has become a popular technique in experimental fluid mechanics. Noise or errors in raw velocity field would significantly affect the quality of pressure reconstruction in PIV measurement. To reduce experimental errors in pressure gradient and improve the precision of reconstructed pressure field, a minimal 2-norm criteria-based new technique called irrotation correction (IC) with orthogonal decomposition is developed. The pressure reconstruction is therefore composed of three steps: calculation of pressure gradient from time-resolved velocity fields of PIV, an irrotation correction on the pressure gradient field, and finally a simple orthogonal-path integration (OPI) for pressure. Systematic assessments of IC algorithm are performed on synthetic solid-body rotation flow, direct numerical simulations of a channel flow and an isotropic turbulent flow. The results show that IC is a robust algorithm which can significantly improve the accuracy of pressure reconstruction primarily in the low wave number domain. After irrotation correction, noisy pressure gradient field ideally becomes an irrotational field on which the pressure integration is independent of integrating paths. Therefore, an OPI algorithm is proposed to perform the pressure integration in an efficient way with very few integration paths. This makes the new technique to be a doable method on three-dimensional pressure reconstruction with acceptable computational cost.


Pressure Gradient Particle Image Velocimetry Direct Numerical Simulation Proper Orthogonal Decomposition Direct Numerical Simulation Data 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



This work is supported by the National Natural Science Foundation of China (11472030, 11327202, 11490552) and the Fundamental Research Funds for the Central Universities (Grant No. YWF-16-JCTD-A-05). We would like to thank Professor Charles Meneveau for providing the DNS data of channel flow and isotropic turbulent flow. We would also like to thank Dr. Liu Xiaofeng for his help on this work of pressure reconstruction techniques.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Zhongyi Wang
    • 1
  • Qi Gao
    • 1
  • Chengyue Wang
    • 1
  • Runjie Wei
    • 2
  • Jinjun Wang
    • 1
  1. 1.Key Laboratory of Fluid Mechanics, Ministry of EducationBeijing University of Aeronautics and AstronauticsBeijingChina
  2. 2.MicroVec., IncBeijingChina

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