Application of multi-dimensional wavelet transform to fluid mechanics

作     者：Akira Rinoshika Hiroka Rinoshika Akira Rinoshika;Hiroka Rinoshika

作者机构：School of Aeronautic Science and EngineeringBeihang UniversityBeijing100191China Department of Mechanical Systems Engineering Graduate School of Science and EngineeringYamagata University 4-3-16 JonanYonezawa-shiYamagata 992-8510Japan 

出 版 物：《Theoretical & Applied Mechanics Letters》 (力学快报（英文版）)

年 卷 期：2020年第10卷第2期

页      面：98-115页

核心收录：

学科分类：08[工学] 0831[工学-生物医学工程（可授工学、理学、医学学位）] 0830[工学-环境科学与工程（可授工学、理学、农学学位）] 080103[工学-流体力学] 0707[理学-海洋科学] 0815[工学-水利工程] 0805[工学-材料科学与工程（可授工学、理学学位）] 0813[工学-建筑学] 0802[工学-机械工程] 0824[工学-船舶与海洋工程] 0814[工学-土木工程] 0825[工学-航空宇航科学与技术] 0836[工学-生物工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 

基　　金：the National Natural Science Foundation of China(Nos.11721202 and 11772035) support from JSPS Research Fellowships for Young Scientists(2019~2022)。 

主　　题：Continuous wavelet transform Fluid mechanics Multi-scale flow structures Orthogonal wavelet transform Turbulence Wavelet multiresolution analysis 

摘      要：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 2 D and 3 D turbulent wakes and turbulent boundary layer flows are described based on the hot-wire, 2 D particle image velocimetry(PIV) and 3 D tomographic PIV.