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dc.contributor.authorKhani, Sina
dc.contributor.authorWaite, Michael L 19:54:04 (GMT) 19:54:04 (GMT)
dc.description© Copyright 2020 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code §?107) or that satisfies the conditions specified in Section 108 of the U.S. Copyright Act (17 USC § 108) does not require the AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, requires written permission or a license from the AMS. All AMS journals and monograph publications are registered with the Copyright Clearance Center ( Additional details are provided in the AMS Copyright Policy statement, available on the AMS website (
dc.description.abstractSubgrid-scale (SGS) parameterizations in atmosphere and ocean models are often defined independently in the horizontal and vertical directions because the grid spacing is not the same in these directions (anisotropic grids). In this paper, we introduce a new anisotropic SGS model in large-eddy simulations (LES) of stratified turbulence based on hor izontal filtering of the equations of motion. Unlike the common horizontal SGS parameterizations in atmosphere and ocean models, the vertical derivatives of the horizontal SGS fluxes are included in our anisotropic SGS scheme, and therefore the horizontal and vertical SGS dissipation mechanisms are not disconnected in the newly developed model. Our model is tested with two vertical grid spacings and various horizontal resolutions, where the horizontal grid spacing is comparatively larger than that in the vertical. Our anisotropic LES model can successfully reproduce the results of direct numerical simulations, while the computational cost is significantly reduced in the LES. We suggest the new anisotropic SGS model as an alternative to current SGS parameterizations in atmosphere and ocean models, in which the schemes for horizontal and vertical scales are often decoupled. The new SGS scheme may improve the dissipative performance of atmosphere and ocean models without adding any backscatter or other energizing terms at small horizontal scales.en
dc.description.sponsorshipFunder 1, financial support provided by National Science Foundation through Awards 1536360 and 1536314 || Funder 2, M.L.W. gratefully acknowledges support from the Natural Sciences and Engineering Research Council of Canada (Grant RGPIN-386456-2015).en
dc.relation.ispartofseriesMonthly Weather Review;
dc.subjectFiltering techniquesen
dc.subjectLarge eddy simulationsen
dc.subjectModel evaluation/performanceen
dc.subjectNumerical analysis/modelingen
dc.subjectSubgrid-scale processesen
dc.titleAn Anisotropic Subgrid-Scale Parameterization for Large-Eddy Simulations of Stratified Turbulenceen
dcterms.bibliographicCitationKhani, S., & Waite, M. L. (2020). An Anisotropic Subgrid-Scale Parameterization for Large-Eddy Simulations of Stratified Turbulence. Monthly Weather Review, 148(10), 4299–4311.
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Applied Mathematicsen

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