Craya decomposition using compactly supported biorthogonal wavelets
type: Item
instance of: scholarly article
title: Craya decomposition using compactly supported biorthogonal wavelets
zbMATH Open document ID: 1190.42018
author: Erwan Deriaz
author: Marie Farge
author: Kai Schneider
published in: Applied and Computational Harmonic Analysis
publication date: 2010-05-17T00:00:00Z
review text: The authors study a new method using biorthogonal compactly supported wavelest to obtain a local Craya-Herring decomposition, that is to split vector-valued function spaces into a curl-free space and a divergence-free space which is in turn split into two orthogonal spaces the first of which has functions with third component zero and the first two components of functions in the second is a two-dimensional gradient function. The motivation for this work is geophysical turbulence and applications are shown for isotropic, rotating, and stratified turbulent flows. The results of a number of numerical experiments are presented.
reviewed by: Gustaf Gripenberg
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 86A10
zbMATH DE Number: 5708940
zbMATH Keywords: Craya-Herring decomposition
zbMATH Keywords: divergence-free wavelets
zbMATH Keywords: stratified flows
zbMATH Keywords: wave-vortex expansion
MaRDI profile type: Publication
full work available at URL: j.acha.2010.02.006
OpenAlex ID: W2079227897
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DOI: 10.1016/J.ACHA.2010.02.006
description: scientific article; zbMATH DE number 5708940