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Balance in non-hydrostatic rotating shallow-water flows
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dc.contributor.author | Jalali, M.R. | |
dc.contributor.author | Dritschel, David Gerard | |
dc.date.accessioned | 2021-07-13T16:30:03Z | |
dc.date.available | 2021-07-13T16:30:03Z | |
dc.date.issued | 2021-08-03 | |
dc.identifier | 275040798 | |
dc.identifier | 29040bcd-340d-4b59-a180-008e96d63448 | |
dc.identifier | 85111959049 | |
dc.identifier | 000694739600001 | |
dc.identifier.citation | Jalali , M R & Dritschel , D G 2021 , ' Balance in non-hydrostatic rotating shallow-water flows ' , Physics of Fluids , vol. 33 , no. 8 , 086601 . https://doi.org/10.1063/5.0057707 | en |
dc.identifier.issn | 1070-6631 | |
dc.identifier.other | ORCID: /0000-0001-6489-3395/work/98785570 | |
dc.identifier.uri | https://hdl.handle.net/10023/23540 | |
dc.description | Funding: The Leverhulme Trust (Grant Number(s) RF-2020-190). | en |
dc.description.abstract | Unsteady 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.format.extent | 12 | |
dc.format.extent | 9522809 | |
dc.language.iso | eng | |
dc.relation.ispartof | Physics of Fluids | en |
dc.subject | QC Physics | en |
dc.subject | T-NDAS | en |
dc.subject | MCC | en |
dc.subject.lcc | QC | en |
dc.title | Balance in non-hydrostatic rotating shallow-water flows | en |
dc.type | Journal article | en |
dc.contributor.sponsor | The Leverhulme Trust | en |
dc.contributor.institution | University of St Andrews. Marine Alliance for Science & Technology Scotland | en |
dc.contributor.institution | University of St Andrews. Scottish Oceans Institute | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | en |
dc.identifier.doi | 10.1063/5.0057707 | |
dc.description.status | Peer reviewed | en |
dc.identifier.grantnumber | RF-2020-190 | en |
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