Wavelet‐Based Wavenumber Spectral Estimate of Eddy Kinetic Energy: Idealized Quasi‐Geostrophic Flow
Wavelet‐Based Wavenumber Spectral Estimate of Eddy Kinetic Energy: Idealized Quasi‐Geostrophic Flow
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DOI：
10.1029/2022ms003399
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发表时间：
2023-03
影响因子：
6.8
通讯作者：
T. Uchida;Q. Jamet;A. Poje;N. Wienders;W. Dewar;B. Deremble
中科院分区：
文献类型：
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作者：
T. Uchida;Q. Jamet;A. Poje;N. Wienders;W. Dewar;B. Deremble
在海洋学和光谱背景下重新引入基于小波的方法来估计动能和涡度拟能的波数谱和谱通量。我们将其应用于理想化的，双周期准地转流的数值模拟，即，流动受到科氏力和垂直分层的约束。双周期性允许直接傅立叶分析作为基线方法。我们的小波频谱同意与典型的傅立叶方法，但与否定的必要性的数据是周期性的，并能够提取局部各向异性的流动的额外的优势。然而，在计算高阶量（如光谱通量）时需要谨慎。
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, that is, 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.