Second-order accurate particle image velocimetry |
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Authors: | S T Wereley C D Meinhart |
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Institution: | (1) School of Mechanical Engineering, Purdue University West Lafayette, IN 47907-1288, USA e-mail: wereley@purdue.edu, US;(2) Department of Mechanical and Environmental Engineering University of California, Santa Barbara, CA 93106, USA, US |
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Abstract: | An adaptive, second-order accurate particle image velocimetry (PIV) technique is presented. The technique uses two singly
exposed images that are interrogated using a modified cross-correlation algorithm. Consequently, any of the equipment commonly
available for conventional PIV (such as dual head Nd: YAG lasers, interline transfer CCD cameras, etc.) can be used with this
more accurate algorithm. At the heart of the algorithm is a central difference approximation to the flow velocity (accurate
to order Δt
2) versus the forward difference approximation (accurate to order Δt) common in PIV. An adaptive interrogation region-shifting algorithm is used to implement the central difference approximation.
Adaptive shifting algorithms have been gaining popularity in recent years because they allow the spatial resolution of the
PIV technique to be maximized. Adaptive shifting algorithms also have the virtue of helping to eliminate velocity bias errors.
The second- order accuracy resulting from the central difference approximation can be obtained with relatively little additional
computational effort compared to that required for a standard first-order accurate forward difference approximation.
The adaptive central difference interrogation (CDI) algorithm has two main advantages over adaptive forward difference interrogation
(FDI) algorithms: it is more accurate, especially at large time delays between camera exposures; and it provides a temporally
symmetric view of the flow. By comparing measurements of flow around a single red blood cell made using both algorithms, the
CDI technique is shown to perform better than conventional FDI-PIV interrogation algorithms near flow boundaries. Cylindrical
Taylor–Couette flow images, both experimental and simulated, are used to demonstrate that the CDI algorithm is significantly
more accurate than conventional PIV algorithms, especially as the time delay between exposures is increased. The results of
the interrogations are shown to agree quite well with analytical predictions and confirm that the CDI algorithm is indeed
second-order accurate while the conventional FDI algorithm is only first-order accurate.
Received: 15 June 2000/Accepted: 2 February 2001 |
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Keywords: | |
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