Application of multi-dimensional wavelet transform to fluid mechanics

Abstract

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