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Articles | Volume 21, issue 2
Articles | Volume 21, issue 2
https://doi.org/10.5194/os-21-807-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/os-21-807-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 21, issue 2
Research article
 | 
17 Apr 2025
Research article |  | 17 Apr 2025

Coupled estimation of internal tides and turbulent motions via statistical modal decomposition

Igor Maingonnat, Gilles Tissot, and Noé Lahaye

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Cited articles

Berkooz, G., Holmes, P., and Lumley, J.: The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows, Annu. Rev. Fluid Mech., 25, 539–575, https://doi.org/10.1146/annurev.fl.25.010193.002543, 2003. a, b
Boree, J.: Extended proper orthogonal decomposition: A tool to analyse correlated events in turbulent flows, Exp. Fluids, 35, 188–192, https://doi.org/10.1007/s00348-003-0656-3, 2003. a, b
Brunet, G. and Vautard, R.: Empirical normal modes versus empirical orthogonal functions for statistical prediction, J. Atmos. Sci., 53, 3468–3489, https://doi.org/10.1175/1520-0469(1996)053<3468:ENMVEO>2.0.CO;2, 1996. a
Bühler, O.: Waves and Mean Flows, in: 2nd Edn., Cambridge Monographs on Mechanics, Cambridge University Press, https://doi.org/10.1017/CBO9781107478701, 2014. a, b
Burns, K. J., Vasil, G. M., Oishi, J. S., Lecoanet, D., and Brown, B. P.: Dedalus: A flexible framework for numerical simulations with spectral methods, Physical Review Research, 2, 023068, https://doi.org/10.1103/PhysRevResearch.2.023068, 2020. a
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The entanglement of waves and currents in observational data complicates their respective estimation. We propose a data-driven method that provides a reduced set of modes for waves and currents. These sets of modes are correlated with each other, enabling us to perform a coupled estimation of these two physical processes. This methodology is capable of producing estimates from an instantaneous observation of sea surface height and for a strong jet signal.

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