Application of multi-dimensional wavelet transform to fluid mechanics

Application of multi-dimensional wavelet transform to fluid mechanics

ABSTRACT: This paper first reviews the application research works of wavelet transform on the fluid mechanics. Then the theories of continuous wavelet transform and multi-dimensional orthogonal (discrete) wavelet transform, including wavelet multiresolution analysis, are introduced. At last the appl...

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Main Authors: Akira Rinoshika, Hiroka Rinoshika
Format: Article
Language:English
Published: Elsevier 2020-01-01
Series:Theoretical and Applied Mechanics Letters
Online Access:http://www.sciencedirect.com/science/article/pii/S2095034920300192
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spelling doaj-ce63e7b7a7f047c5b77310b9e821f2b52020-11-25T02:04:00ZengElsevierTheoretical and Applied Mechanics Letters2095-03492020-01-0110298115Application of multi-dimensional wavelet transform to fluid mechanicsAkira Rinoshika0Hiroka Rinoshika1School of Aeronautic Science and Engineering, Beihang University, Beijing, 100191, China; Corresponding authorDepartment of Mechanical Systems Engineering Graduate School of Science and Engineering, Yamagata University 4–3-16 Jonan, Yonezawa-shi, Yamagata 992–8510, JapanABSTRACT: This paper first reviews the application research works of wavelet transform on the fluid mechanics. Then the theories of continuous wavelet transform and multi-dimensional orthogonal (discrete) wavelet transform, including wavelet multiresolution analysis, are introduced. At last the applications of wavelet transform on 2D and 3D turbulent wakes and turbulent boundary layer flows are described based on the hot-wire, 2D particle image velocimetry (PIV) and 3D tomographic PIV. Keywords: Continuous wavelet transform, Fluid mechanics, Multi-scale flow structures, Orthogonal wavelet transform, Turbulence, Wavelet multiresolution analysishttp://www.sciencedirect.com/science/article/pii/S2095034920300192
collection DOAJ
language English
format Article
sources DOAJ
author Akira Rinoshika
Hiroka Rinoshika
spellingShingle Akira Rinoshika
Hiroka Rinoshika
Application of multi-dimensional wavelet transform to fluid mechanics
Theoretical and Applied Mechanics Letters
author_facet Akira Rinoshika
Hiroka Rinoshika
author_sort Akira Rinoshika
title Application of multi-dimensional wavelet transform to fluid mechanics
title_short Application of multi-dimensional wavelet transform to fluid mechanics
title_full Application of multi-dimensional wavelet transform to fluid mechanics
title_fullStr Application of multi-dimensional wavelet transform to fluid mechanics
title_full_unstemmed Application of multi-dimensional wavelet transform to fluid mechanics
title_sort application of multi-dimensional wavelet transform to fluid mechanics
publisher Elsevier
series Theoretical and Applied Mechanics Letters
issn 2095-0349
publishDate 2020-01-01
description ABSTRACT: This paper first reviews the application research works of wavelet transform on the fluid mechanics. Then the theories of continuous wavelet transform and multi-dimensional orthogonal (discrete) wavelet transform, including wavelet multiresolution analysis, are introduced. At last the applications of wavelet transform on 2D and 3D turbulent wakes and turbulent boundary layer flows are described based on the hot-wire, 2D particle image velocimetry (PIV) and 3D tomographic PIV. Keywords: Continuous wavelet transform, Fluid mechanics, Multi-scale flow structures, Orthogonal wavelet transform, Turbulence, Wavelet multiresolution analysis
url http://www.sciencedirect.com/science/article/pii/S2095034920300192
work_keys_str_mv AT akirarinoshika applicationofmultidimensionalwavelettransformtofluidmechanics
AT hirokarinoshika applicationofmultidimensionalwavelettransformtofluidmechanics
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