Multiscale Sample Entropy of Two-Dimensional Decaying Turbulence

Multiscale sample entropy analysis has been developed to quantify the complexity and the predictability of a time series, originally developed for physiological time series. In this study, the analysis was applied to the turbulence data. We measured time series data for the velocity fluctuation, in...

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Main Author: Ildoo Kim
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/2/245
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author Ildoo Kim
author_facet Ildoo Kim
author_sort Ildoo Kim
collection DOAJ
description Multiscale sample entropy analysis has been developed to quantify the complexity and the predictability of a time series, originally developed for physiological time series. In this study, the analysis was applied to the turbulence data. We measured time series data for the velocity fluctuation, in either the longitudinal or transverse direction, of turbulent soap film flows at various locations. The research was to assess the feasibility of using the entropy analysis to qualitatively characterize turbulence, without using any conventional energetic analysis of turbulence. The study showed that the application of the entropy analysis to the turbulence data is promising. From the analysis, we successfully captured two important features of the turbulent soap films. It is indicated that the turbulence is anisotropic from the directional disparity. In addition, we observed that the most unpredictable time scale increases with the downstream distance, which is an indication of the decaying turbulence.
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spelling doaj.art-61eaeaad69ee4c48bb4cdd938cf79cb82023-12-11T17:47:10ZengMDPI AGEntropy1099-43002021-02-0123224510.3390/e23020245Multiscale Sample Entropy of Two-Dimensional Decaying TurbulenceIldoo Kim0Department of Mechanical and Electrical Engineering, Konkuk University, Chungju 27489, KoreaMultiscale sample entropy analysis has been developed to quantify the complexity and the predictability of a time series, originally developed for physiological time series. In this study, the analysis was applied to the turbulence data. We measured time series data for the velocity fluctuation, in either the longitudinal or transverse direction, of turbulent soap film flows at various locations. The research was to assess the feasibility of using the entropy analysis to qualitatively characterize turbulence, without using any conventional energetic analysis of turbulence. The study showed that the application of the entropy analysis to the turbulence data is promising. From the analysis, we successfully captured two important features of the turbulent soap films. It is indicated that the turbulence is anisotropic from the directional disparity. In addition, we observed that the most unpredictable time scale increases with the downstream distance, which is an indication of the decaying turbulence.https://www.mdpi.com/1099-4300/23/2/245sample entropydecaying turbulenceinformation content
spellingShingle Ildoo Kim
Multiscale Sample Entropy of Two-Dimensional Decaying Turbulence
Entropy
sample entropy
decaying turbulence
information content
title Multiscale Sample Entropy of Two-Dimensional Decaying Turbulence
title_full Multiscale Sample Entropy of Two-Dimensional Decaying Turbulence
title_fullStr Multiscale Sample Entropy of Two-Dimensional Decaying Turbulence
title_full_unstemmed Multiscale Sample Entropy of Two-Dimensional Decaying Turbulence
title_short Multiscale Sample Entropy of Two-Dimensional Decaying Turbulence
title_sort multiscale sample entropy of two dimensional decaying turbulence
topic sample entropy
decaying turbulence
information content
url https://www.mdpi.com/1099-4300/23/2/245
work_keys_str_mv AT ildookim multiscalesampleentropyoftwodimensionaldecayingturbulence