TY - JOUR

T1 - Error propagation dynamics of PIV-based pressure field calculations: How well does the pressure Poisson solver perform inherently?

AU - Pan, Zhao

AU - Whitehead, Jared

AU - Thomson, Scott

AU - Truscott, Tadd

N1 - Generated from Scopus record by KAUST IRTS on 2022-09-15

PY - 2016/7/6

Y1 - 2016/7/6

N2 - 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.

AB - 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.

UR - https://iopscience.iop.org/article/10.1088/0957-0233/27/8/084012

UR - http://www.scopus.com/inward/record.url?scp=84978881203&partnerID=8YFLogxK

U2 - 10.1088/0957-0233/27/8/084012

DO - 10.1088/0957-0233/27/8/084012

M3 - Article

SN - 1361-6501

VL - 27

JO - Measurement Science and Technology

JF - Measurement Science and Technology

IS - 8

ER -