Craya decomposition using compactly supported biorthogonal wavelets (Q970367)

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.