Stochastic Subgrid Turbulence Parameterisation of Eddy-Eddy, Eddy-Meanfield, Eddy-Topographic and Meanfield-Meanfield Interactions in the Atmosphere

V. Kitsios, Jorgen Frederiksen

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

Abstract

Stochastic subgrid turbulence parameterisations are developed for a baroclinic quasi-geostropic (QG) atmosphere with a January background state and realistic topography. The parameterisation coefficients are calculated from the statistics of higher resolution reference direct numerical simulations (DNS). Separate parameterisations are developed for each of the fundamental subgrid interactions. The first are the transient eddy-eddy interactions, which are between subgrid and resolved eddies. The second are the eddy-meanfield interactions between the subgrid eddies and the resolved meanfield. The third are the meanfield-meanfield interactions between the resolved meanfield and topography and their unresolved counterparts. Finally the eddy-topographic interactions are between the subgrid eddies and the resolved topography. This parameterisation framework is validated by producing large eddy simulations (LES) of the atmosphere that agree with the reference DNS. As compared to the DNS of truncation wavenumber 63, successful LES are produced with a truncation wavenumber of 15, using only 1.3% of the computational effort. This is particularly impressive as it captures both the drain of energy out of the system due to the forward enstrophy cascade, and the injection of energy associated with the unresolved baroclinic instability.
Original languageEnglish
Title of host publicationProceedings of the 21st Australasian Fluid Mechanics Conference
EditorsT C W Lau, R M Kelso
Place of PublicationPerth WA Australia
PublisherAustralasian Fluid Mechanics Society
Number of pages4
ISBN (Print)9780646597843
Publication statusPublished - Dec 2018
Externally publishedYes
EventAustralasian Fluid Mechanics Conference 2018 - Adelaide Convention Centre, Adelaide, Australia
Duration: 10 Dec 201813 Dec 2018
Conference number: 21st
https://aomevents.eventsair.com/QuickEventWebsitePortal/21st-australasian-fluid-mechanics-conference/afmc2018

Conference

ConferenceAustralasian Fluid Mechanics Conference 2018
Abbreviated titleAFMC 2018
CountryAustralia
CityAdelaide
Period10/12/1813/12/18
Internet address

Cite this

Kitsios, V., & Frederiksen, J. (2018). Stochastic Subgrid Turbulence Parameterisation of Eddy-Eddy, Eddy-Meanfield, Eddy-Topographic and Meanfield-Meanfield Interactions in the Atmosphere. In T. C. W. Lau, & R. M. Kelso (Eds.), Proceedings of the 21st Australasian Fluid Mechanics Conference Perth WA Australia: Australasian Fluid Mechanics Society.
Kitsios, V. ; Frederiksen, Jorgen. / Stochastic Subgrid Turbulence Parameterisation of Eddy-Eddy, Eddy-Meanfield, Eddy-Topographic and Meanfield-Meanfield Interactions in the Atmosphere. Proceedings of the 21st Australasian Fluid Mechanics Conference. editor / T C W Lau ; R M Kelso. Perth WA Australia : Australasian Fluid Mechanics Society, 2018.
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title = "Stochastic Subgrid Turbulence Parameterisation of Eddy-Eddy, Eddy-Meanfield, Eddy-Topographic and Meanfield-Meanfield Interactions in the Atmosphere",
abstract = "Stochastic subgrid turbulence parameterisations are developed for a baroclinic quasi-geostropic (QG) atmosphere with a January background state and realistic topography. The parameterisation coefficients are calculated from the statistics of higher resolution reference direct numerical simulations (DNS). Separate parameterisations are developed for each of the fundamental subgrid interactions. The first are the transient eddy-eddy interactions, which are between subgrid and resolved eddies. The second are the eddy-meanfield interactions between the subgrid eddies and the resolved meanfield. The third are the meanfield-meanfield interactions between the resolved meanfield and topography and their unresolved counterparts. Finally the eddy-topographic interactions are between the subgrid eddies and the resolved topography. This parameterisation framework is validated by producing large eddy simulations (LES) of the atmosphere that agree with the reference DNS. As compared to the DNS of truncation wavenumber 63, successful LES are produced with a truncation wavenumber of 15, using only 1.3{\%} of the computational effort. This is particularly impressive as it captures both the drain of energy out of the system due to the forward enstrophy cascade, and the injection of energy associated with the unresolved baroclinic instability.",
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Kitsios, V & Frederiksen, J 2018, Stochastic Subgrid Turbulence Parameterisation of Eddy-Eddy, Eddy-Meanfield, Eddy-Topographic and Meanfield-Meanfield Interactions in the Atmosphere. in TCW Lau & RM Kelso (eds), Proceedings of the 21st Australasian Fluid Mechanics Conference. Australasian Fluid Mechanics Society, Perth WA Australia, Australasian Fluid Mechanics Conference 2018, Adelaide, Australia, 10/12/18.

Stochastic Subgrid Turbulence Parameterisation of Eddy-Eddy, Eddy-Meanfield, Eddy-Topographic and Meanfield-Meanfield Interactions in the Atmosphere. / Kitsios, V.; Frederiksen, Jorgen.

Proceedings of the 21st Australasian Fluid Mechanics Conference. ed. / T C W Lau; R M Kelso. Perth WA Australia : Australasian Fluid Mechanics Society, 2018.

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

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N2 - Stochastic subgrid turbulence parameterisations are developed for a baroclinic quasi-geostropic (QG) atmosphere with a January background state and realistic topography. The parameterisation coefficients are calculated from the statistics of higher resolution reference direct numerical simulations (DNS). Separate parameterisations are developed for each of the fundamental subgrid interactions. The first are the transient eddy-eddy interactions, which are between subgrid and resolved eddies. The second are the eddy-meanfield interactions between the subgrid eddies and the resolved meanfield. The third are the meanfield-meanfield interactions between the resolved meanfield and topography and their unresolved counterparts. Finally the eddy-topographic interactions are between the subgrid eddies and the resolved topography. This parameterisation framework is validated by producing large eddy simulations (LES) of the atmosphere that agree with the reference DNS. As compared to the DNS of truncation wavenumber 63, successful LES are produced with a truncation wavenumber of 15, using only 1.3% of the computational effort. This is particularly impressive as it captures both the drain of energy out of the system due to the forward enstrophy cascade, and the injection of energy associated with the unresolved baroclinic instability.

AB - Stochastic subgrid turbulence parameterisations are developed for a baroclinic quasi-geostropic (QG) atmosphere with a January background state and realistic topography. The parameterisation coefficients are calculated from the statistics of higher resolution reference direct numerical simulations (DNS). Separate parameterisations are developed for each of the fundamental subgrid interactions. The first are the transient eddy-eddy interactions, which are between subgrid and resolved eddies. The second are the eddy-meanfield interactions between the subgrid eddies and the resolved meanfield. The third are the meanfield-meanfield interactions between the resolved meanfield and topography and their unresolved counterparts. Finally the eddy-topographic interactions are between the subgrid eddies and the resolved topography. This parameterisation framework is validated by producing large eddy simulations (LES) of the atmosphere that agree with the reference DNS. As compared to the DNS of truncation wavenumber 63, successful LES are produced with a truncation wavenumber of 15, using only 1.3% of the computational effort. This is particularly impressive as it captures both the drain of energy out of the system due to the forward enstrophy cascade, and the injection of energy associated with the unresolved baroclinic instability.

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Kitsios V, Frederiksen J. Stochastic Subgrid Turbulence Parameterisation of Eddy-Eddy, Eddy-Meanfield, Eddy-Topographic and Meanfield-Meanfield Interactions in the Atmosphere. In Lau TCW, Kelso RM, editors, Proceedings of the 21st Australasian Fluid Mechanics Conference. Perth WA Australia: Australasian Fluid Mechanics Society. 2018