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Stochastic subgrid parameterizations for atmospheric and oceanic flows
journal contribution
posted on 2023-05-19, 09:14 authored by Frederiksen, JS, Terence O'KaneTerence O'Kane, Zidikheri, MJIn this paper, we review recently developed closure-based and stochastic model approaches to subgrid scale modelling of eddy interactions motivated by advances in non-equilibrium statistical dynamical closure theory. We demonstrate how statistical dynamical closure models can be used to self-consistently calculate eddy damping and stochastic backscatter parameters, required in large eddy simulations (LESs), from higher-resolution simulations. A direct stochastic modelling scheme that is more generally applicable to complex models is then described and applied to LESs of quasigeostrophic turbulence of the atmosphere and oceans. We discuss the fundamental difference between atmospheric and oceanic LESs which is related to the difference in the deformation scales in the two classes of flows. We point out why the stochastic approach may be crucial when baroclinic instability is inadequately resolved. Finally, we discuss the application of inhomogeneous closure theory to the complex problem of flow over topography, and show that it can be used to understand the successes and limitations of currently used heuristic schemes and to provide a basis for further developments in the future.
History
Publication title
Physica ScriptaVolume
85Issue
6Article number
068202Number
068202Pagination
1-29ISSN
0031-8949Department/School
Institute for Marine and Antarctic StudiesPublisher
Royal Swedish Acad SciencesPlace of publication
Publ Dept Box 50005, Stockholm, Sweden, S-104 05Rights statement
© 2012 The Royal Swedish Academy of SciencesRepository Status
- Restricted