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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.otherORCID: /0000-0001-6489-3395/work/98785570
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.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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