Stochastic rectification of fast oscillations on slow manifold closures

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dc.contributor.authorChekroun, Mickael D.en
dc.contributor.authorLiu, Honghuen
dc.contributor.authorMcWilliams, James C.en
dc.date.accessioned2022-09-12T13:51:45Zen
dc.date.available2022-09-12T13:51:45Zen
dc.date.issued2021-11-30en
dc.description.abstractThe problems of identifying the slow component (e.g., for weather forecast initialization) and of characterizing slow-fast interactions are central to geophysical fluid dynamics. In this study, the related rectification problem of slow manifold closures is addressed when breakdown of slow-to-fast scales deterministic parameterizations occurs due to explosive emergence of fast oscillations on the slow, geostrophic motion. For such regimes, it is shown on the Lorenz 80 model that if 1) the underlying manifold provides a good approximation of the optimal nonlinear parameterization that averages out the fast variables and 2) the residual dynamics off this manifold is mainly orthogonal to it, then no memory terms are required in the Mori-Zwanzig full closure. Instead, the noise term is key to resolve, and is shown to be, in this case, well modeled by a state-independent noise, obtained by means of networks of stochastic nonlinear oscillators. This stochastic parameterization allows, in turn, for rectifying the momentum-balanced slow manifold, and for accurate recovery of the multiscale dynamics. The approach is promising to be further applied to the closure of other more complex slow-fast systems, in strongly coupled regimes.en
dc.description.notesThis work has been supported by Office of Naval Research Multidisciplinary University Research Initiative Grant N00014-20-1-2023, and by NSF Grant DMS-2108856. This study was also supported by a Ben May Center grant for theoretical and/or computational research and by the Israeli Council for Higher Education via the Weizmann Data Science Research Center.en
dc.description.sponsorshipOffice of Naval Research Multidisciplinary University Research Initiative [N00014-20-1-2023]; NSF [DMS-2108856]; Ben May Center; Israeli Council for Higher Education via the Weizmann Data Science Research Centeren
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1073/pnas.2113650118en
dc.identifier.eissn1091-6490en
dc.identifier.issn0027-8424en
dc.identifier.issue48en
dc.identifier.othere2113650118en
dc.identifier.pmid34819377en
dc.identifier.urihttp://hdl.handle.net/10919/111800en
dc.identifier.volume118en
dc.language.isoenen
dc.publisherNational Academy of Sciencesen
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectmultiscale chaosen
dc.subjectstochastic parameterizationen
dc.subjectmultiscale closureen
dc.subjectslow manifolden
dc.subjectfast oscillationsen
dc.titleStochastic rectification of fast oscillations on slow manifold closuresen
dc.title.serialProceedings of the National Academy of Sciences of the United States of Americaen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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