Ageostrophic Correction to a New Wave-Vortex Decompostion Method to One-Dimensional Data

A new wave-vortex decomposition method for 1-D data was developed by Buhler et al. in 2014. By this new method, observed 1-D velocity spectra can be Helmoltz decomposed into divergence free and curl free componets, which under further assumptions can be used to partition the total energy spectrum into wave energy and vortex energy spectrum parts.

Recently, we developed an ageostrophic correction to the current theory. Before, it has been assumed that the vortex part of the motion was purely geostrophic. Here we introduce a weak quasigeostrophic correction to the mean flow, and found out that with a few commonly made assumptions, the method would still work.