Wavelet-based wavenumber spectral estimate of eddy kinetic energy: Idealized quasi-geostrophic flow

This is a Preprint and has not been peer reviewed. The published version of this Preprint is available: https://doi.org/10.1029/2022MS003399. This is version 3 of this Preprint.

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Authors

Такая Учида , Quentin Jamet, Andrew C. Poje, Nico Wienders, William K. Dewar, Bruno Deremble 

Abstract

A wavelet-based method is re-introduced in an oceanographic and spectral context to estimate wavenumber spectrum and spectral flux of kinetic energy and enstrophy. We apply this to a numerical simulation of idealized, doubly-periodic quasi-geostrophic flows, i.e.~the flow is constrained by the Coriolis force and vertical stratification. The double periodicity allows for a straightforward Fourier analysis as the baseline method.
Our wavelet spectra agree well with the canonical Fourier approach but with the additional strengths of negating the necessity for the data to be periodic and being able to extract local anisotropies in the flow. Caution is warranted, however, when computing higher-order quantities, such as spectral flux.

DOI

https://doi.org/10.31223/X5C063

Subjects

Physical Sciences and Mathematics

Keywords

Wavelets, Quasi geostrophy, spectral analysis

Dates

Published: 2022-09-09 23:01

Last Updated: 2023-03-17 03:17

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License

CC BY Attribution 4.0 International

Additional Metadata

Conflict of interest statement:
None