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dc.contributor.authorJalali, M.R.
dc.contributor.authorDritschel, David Gerard
dc.identifier.citationJalali , M R & Dritschel , D G 2021 , ' Balance in non-hydrostatic rotating shallow-water flows ' , Physics of Fluids , vol. 33 , no. 8 , 086601 .
dc.identifier.otherPURE: 275040798
dc.identifier.otherPURE UUID: 29040bcd-340d-4b59-a180-008e96d63448
dc.identifier.otherORCID: /0000-0001-6489-3395/work/98785570
dc.identifier.otherScopus: 85111959049
dc.identifier.otherWOS: 000694739600001
dc.descriptionFunding: The Leverhulme Trust (Grant Number(s) RF-2020-190).en
dc.description.abstractUnsteady nonlinear shallow-water flows typically emit inertia-gravity waves through a process called “spontaneous adjustment-emission.” This process has been studied extensively within the rotating shallow-water model, the simplest geophysical model having the required capability. Here, we consider what happens when the hydrostatic assumption underpinning the shallow-water model is dropped. This assumption is in fact not necessary for the derivation of a two-dimensional or single-layer flow model. All one needs is that the horizontal flow field be independent of height in the fluid layer. Then, vertical averaging yields a single-layer flow model with the full range of expected conservation laws, similar to the shallow-water model yet allowing for non-hydrostatic effects. These effects become important for horizontal scales comparable to or less than the depth of the fluid layer. In a rotating flow, such scales may be activated if the Rossby deformation length (the ratio of the characteristic gravity-wave speed to the Coriolis frequency) is comparable to the depth of the fluid layer. Then, the range of frequencies supporting inertia-gravity waves is compressed, and the group velocity of these waves is reduced. We find that this change in wave properties has the effect of strongly suppressing spontaneous adjustment-emission and trapping inertia-gravity waves near regions of relatively strong circulation.
dc.relation.ispartofPhysics of Fluidsen
dc.rightsCopyright © 2021 the Author(s). Published under exclusive licence by AIP Publishing. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at
dc.subjectQC Physicsen
dc.titleBalance in non-hydrostatic rotating shallow-water flowsen
dc.typeJournal articleen
dc.contributor.sponsorThe Leverhulme Trusten
dc.contributor.institutionUniversity of St Andrews. Marine Alliance for Science & Technology Scotlanden
dc.contributor.institutionUniversity of St Andrews. Scottish Oceans Instituteen
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.description.statusPeer revieweden

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