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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Bibliographic Details
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
Description
Summary: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
ISSN:2095-0349