Inertial range determination for aerothermal turbulence using fractionally differenced processes and wavelets
- 14 August 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 64 (3), 036301
- https://doi.org/10.1103/physreve.64.036301
Abstract
A fractionally differenced (FD) process is used to model aerothermal turbulence data, and the model parameters are estimated via wavelet techniques. Theory and results are presented for three estimators of the FD parameter: an “instantaneous” block-independent least squares estimator and block-dependent weighted least squares and maximum likelihood estimators. Confidence intervals are developed for the block-dependent estimators. We show that for a majority of the aerothermal turbulence data studied herein, there is a strong departure from the theoretical Kolmogorov turbulence over finite ranges of scale. A time-scale-dependent inertial range statistic is developed to quantify this departure.Keywords
This publication has 21 references indexed in Scilit:
- Wavelets for the study of intermittency and its topologyPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1999
- Intermittency, local isotropy, and non-Gaussian statistics in atmospheric surface layer turbulencePhysics of Fluids, 1994
- THE MULTIFRACTAL FORMALISM REVISITED WITH WAVELETSInternational Journal of Bifurcation and Chaos, 1994
- Wavelet analysis of a Gaussian Kolmogorov signalJournal of Physics A: General Physics, 1993
- Wavelet transforms of self-similar processesPhysica D: Nonlinear Phenomena, 1991
- The dynamics of coherent structures in the wall region of a turbulent boundary layerJournal of Fluid Mechanics, 1988
- Observations of order and chaos in nonlinear systemsPhysica D: Nonlinear Phenomena, 1983
- Subharmonic Sequences in the Faraday Experiment: Departures from Period DoublingPhysical Review Letters, 1981
- Fractional differencingBiometrika, 1981
- AN INTRODUCTION TO LONG‐MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCINGJournal of Time Series Analysis, 1980