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Pan Z, Whitehead J, Thomson S, et al. Error Propagation Dynamics of PIV-based Pressure Field Calculations: How well does the pressure Poisson solver perform inherently?. Meas Sci Technol. 2016;27(8):084012doi: 10.1088/0957-0233/27/8/084012.
Pan, Z., Whitehead, J., Thomson, S., & Truscott, T. (2016). Error Propagation Dynamics of PIV-based Pressure Field Calculations: How well does the pressure Poisson solver perform inherently?. Measurement science & technology, 27(8), 084012. https://doi.org/10.1088/0957-0233/27/8/084012
Pan, Zhao, et al. "Error Propagation Dynamics of PIV-based Pressure Field Calculations: How well does the pressure Poisson solver perform inherently?." Measurement science & technology vol. 27,8 (2016): 084012. doi: https://doi.org/10.1088/0957-0233/27/8/084012
Pan Z, Whitehead J, Thomson S, Truscott T. Error Propagation Dynamics of PIV-based Pressure Field Calculations: How well does the pressure Poisson solver perform inherently?. Meas Sci Technol. 2016 Aug;27(8):084012. doi: 10.1088/0957-0233/27/8/084012. Epub 2016 Jul 06. PMID: 27499587; PMCID: PMC4972504.
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Meas Sci Technol. 2016 Aug;27(8):084012. doi: 10.1088/0957-0233/27/8/084012. Epub 2016 Jul 06.

Error Propagation Dynamics of PIV-based Pressure Field Calculations: How well does the pressure Poisson solver perform inherently?.

Measurement science & technology

Zhao Pan, Jared Whitehead, Scott Thomson, Tadd Truscott

Affiliations

  1. Department of Mechanical Engineering, Brigham Young University, UT, USA.
  2. Mathematics Department, Brigham Young University, UT, USA.
  3. Department of Mechanical and Aerospace Engineering, Utah State University, UT, USA.

PMID: 27499587 PMCID: PMC4972504 DOI: 10.1088/0957-0233/27/8/084012

Abstract

Obtaining pressure field data from particle image velocimetry (PIV) is an attractive technique in fluid dynamics due to its noninvasive nature. The application of this technique generally involves integrating the pressure gradient or solving the pressure Poisson equation using a velocity field measured with PIV. However, very little research has been done to investigate the dynamics of error propagation from PIV-based velocity measurements to the pressure field calculation. Rather than measure the error through experiment, we investigate the dynamics of the error propagation by examining the Poisson equation directly. We analytically quantify the error bound in the pressure field, and are able to illustrate the mathematical roots of why and how the Poisson equation based pressure calculation propagates error from the PIV data. The results show that the error depends on the shape and type of boundary conditions, the dimensions of the flow domain, and the flow type.

Keywords: PIV; Poisson equation; boundary conditions; error estimation; error propagation; pressure field calculation

References

  1. J Exp Biol. 2014 Feb 1;217(Pt 3):331-6 - PubMed
  2. J Biomech. 2014 Apr 11;47(6):1287-93 - PubMed

Publication Types

Grant support