Inertial range determination for aerothermal turbulence using fractionallydifferenced processes and wavelets - art. no. 036301

A fractionally differenced (FD) process is used to model aerothermal turbul ence data, and the model parameters are estimated via wavelet techniques. T heory and results are presented for three estimators of the FD parameter: a n "instantaneous" block-independent least squares estimator and block-depen dent weighted least squares and maximum likelihood estimators. Confidence i ntervals are developed for the block-dependent estimators. We show that for a majority of the aerothermal turbulence data studied herein, there is a s trong departure from the theoretical Kohnogorov turbulence over finite rang es of scale. A time-scale-dependent inertial range statistic is developed t o quantify this departure.