Mathematical background of statistical PIV evaluation
- 473 Downloads
A detailed mathematical description of statistical PIV evaluation has been given by Adrian . This early work from 1988 concentrated on autocorrelation methods and was later expanded to cross-correlation analysis . Most of the characteristics and limitations of the statistical PIV evaluation have been described therein. The most complete and careful mathematical description of digital PIV has been given by Westerweel . In this chapter a simplified mathematical model of the recording and subsequent statistical evaluation of PIV images will be presented. For this purpose the two-dimensional spatial estimator for the correlation will be referred to as the correlation. First, we analyze the cross-correlation of two frames of singly exposed recordings, then we expand the theory for the evaluation of doubly exposed recordings. The motivation for why auto- and cross-correlation methods are employed in PIV evaluation will be given in chapter 5.
KeywordsParticle Image Velocimetry Intensity Field Particle Image Point Spread Function Light Sheet
Unable to display preview. Download preview PDF.