This is a Preprint and has not been peer reviewed.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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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 06:01
Last Updated: 2023-03-16 10:17
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License
CC BY Attribution 4.0 International
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Conflict of interest statement:
None
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