ポイント相関次元による二相流定量化の信頼性向上とノズル圧力変動時系列を用いた検証(流体工学,流体機械)

概要

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In order to improve the reliability of two-phase flow characterization by correlation dimension, several estimation methods are tested and their reliabilities are evaluated. The estimation procedure of the correlation dimension involves following steps: attractor reconstruction and fractal dimension estimation. There are many improvements for each step. However, they have been individually proposed and have not used simultaneously. Using numerically obtained quasiperiodic time series, we evaluate their combinations. Analysis results show that a point correlation dimension method with constant time window reconstruction is more reliable than the widely used Grassberger-Proccacia method with constant delay time reconstruction for ill-conditioned time series: data size is small and dimension is high. The estimation using experimentally obtained noisy chaotic pressure fluctuation time series also shows similar results, so we believe that the proposed procedure is reliable for various kind of time series.
一般社団法人日本機械学会の論文
2004-04-25