Uncertainty Analysis of Cross-Correlation Algorithm based on FFT by PIV Standard Images

표준 영상에 의한 FFT 기반 상호상관 PIV 알고리즘의 불확도 해석

  • 이석종 (서울산업대학교 에너지환경대학원) ;
  • 최중근 (서울산업대학교 에너지환경대학원) ;
  • 성재용 (서울산업대학교 기계공학과) ;
  • 황태규 (한국해양대학교 대학원) ;
  • 도덕희 (한국해양대학교 기계공학과)
  • Published : 2005.12.01

Abstract

Uncertainty introduced by a cross-correlation algorithm based on FFT has been investigated using PIV standard images. The standard images were generated by the Monte Carlo simulation method. Both bias and random errors from the velocity vector have been analyzed with regard to the particle diameter, displacement, and the number of particles. The uncertainty of velocity is evaluated based upon the IS0/IEC standard. As a result, a total error of $0.26\%$ is included in the PIV cross-correlation algorithm. In addition, the uncertainty budget is presented, where the effect of the above three variables is examined. According to the budget, the variation of the number of particles within the interrogation window mainly contributes to the combined standard uncertainty of the real measured velocity field when excluding the effect of errors by the experiments itself. Finally, the expanded uncertainty is found to be about $12\%$ at the $95\%$ confidence level.

Keywords