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A WAVELET-BASED NUMERICAL METHOD AND APPLICATIONS TO CFD

open access: yesA WAVELET-BASED NUMERICAL METHOD AND APPLICATIONS TO CFD
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Wavelet-based Numerical Methods

International Journal of Computational Fluid Dynamics, 1998
Abstract This paper will give an overview of wavelet methods applied to computational fluid dynamics, including scale resolution, grid and order selection throughout a domain. In addition, Spline-based wavelet methods will be placed in the context of finite elements where the element size is adjusted throughout the domain.
L. JAMESON, T. ADACHI, O. UKAI, A. YUASA
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Wavelet-numerical method in crack analysis

Applied Mathematics and Mechanics, 2000
Properties of wavelet of good localization were used to approximate displacement fields near the crack tip. Wavelet-numerical algorithm and simulation singularity problem of the crack tip were established. As an example, stress intensity factors were obtained. The numerical results show that this algorithm has good precision.
Shen, Yuantong, Yi, Xuming
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A wavelet-Galerkin method for high order numerical differentiation

Applied Mathematics and Computation, 2010
The authors propose a method to approximate derivative information of high order for a function from the real numbers to the real numbers. For this purpose, they combine Meyer wavelets and a Galerkin approach. The approach allows also noisy function data stemming for example from measurements.
Fang-Fang Dou, Chu-Li Fu, Yun-Jie Ma
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