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@article{Kondrashov:2020:10.1063/5.0012077,
author = {Kondrashov, D and Ryzhov, EA and Berloff, P},
doi = {10.1063/5.0012077},
journal = {Chaos: an interdisciplinary journal of nonlinear science},
pages = {1--12},
title = {Data-adaptive harmonic analysis of oceanic waves and turbulent flows},
url = {http://dx.doi.org/10.1063/5.0012077},
volume = {30},
year = {2020}
}

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TY  - JOUR
AB  - We introduce new features of data-adaptive harmonic decomposition (DAHD) that are showcased to characterize spatiotemporal variability in high-dimensional datasets of complex and mutsicale oceanic flows, offering new perspectives and novel insights. First, we present a didactic example with synthetic data for identification of coherent oceanic waves embedded in high amplitude noise. Then, DAHD is applied to analyze turbulent oceanic flows simulated by the Regional Oceanic Modeling System and an eddy-resolving three-layer quasigeostrophic ocean model, where resulting spectra exhibit a thin line capturing nearly all the energy at a given temporal frequency and showing well-defined scaling behavior across frequencies. DAHD thus permits sparse representation of complex, multiscale, and chaotic dynamics by a relatively few data-inferred spatial patterns evolving with simple temporal dynamics, namely, oscillating harmonically in time at a given single frequency. The detection of this low-rank behavior is facilitated by an eigendecomposition of the Hermitian cross-spectral matrix and resulting eigenvectors that represent an orthonormal set of global spatiotemporal modes associated with a specific temporal frequency, which in turn allows to rank these modes by their captured energy and across frequencies, and allow accurate space-time reconstruction. Furthermore, by using a correlogram estimator of the Hermitian cross-spectral density matrix, DAHD is both closely related and distinctly different from the spectral proper orthogonal decomposition that relies on Welch’s periodogram as its estimator method.The turbulent oceanic flows consist of ubiquitous complex motions—jets, vortices, and waves—that co-exist on very different spatiotemporal scales but also without a clear scale separation, and it brings natural challenge to characterize the whole complexity across the scales. In particular, the study of temporal scales has got less attention than of spatial
AU  - Kondrashov,D
AU  - Ryzhov,EA
AU  - Berloff,P
DO  - 10.1063/5.0012077
EP  - 12
PY  - 2020///
SN  - 1054-1500
SP  - 1
TI  - Data-adaptive harmonic analysis of oceanic waves and turbulent flows
T2  - Chaos: an interdisciplinary journal of nonlinear science
UR  - http://dx.doi.org/10.1063/5.0012077
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000540985600003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://aip.scitation.org/doi/10.1063/5.0012077
UR  - http://hdl.handle.net/10044/1/80457
VL  - 30
ER  -

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