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DC Field | Value | Language |
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dc.contributor.author | Jalali, MR | - |
dc.contributor.author | Dritschel, DG | - |
dc.date.accessioned | 2022-07-12T09:31:00Z | - |
dc.date.available | 2021-08-01 | - |
dc.date.available | 2022-07-12T09:31:00Z | - |
dc.date.issued | 2021-08-01 | - |
dc.identifier | 086601 | - |
dc.identifier | 086601 | - |
dc.identifier.citation | Jalali, M.R and Dritschel, D.G. (2021) 'Balance in non-hydrostatic rotating shallow-water flows', Physics of Fluids, 33(8), pp. 1 - 12. doi:10.1063/5.0057707. | en_US |
dc.identifier.issn | 1070-6631 | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/24849 | - |
dc.description | DATA AVAILABILITY: The data that support the findings of this study are available from the corresponding author upon reasonable request. | en_US |
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. | en_US |
dc.format.extent | 1 - 12 | - |
dc.format.medium | Print - Electronic | - |
dc.language | en | - |
dc.language.iso | en_US | en_US |
dc.publisher | Publisher Logo Physics of Fluids | en_US |
dc.rights | Copyright © 2021 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). | - |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | - |
dc.title | Balance in non-hydrostatic rotating shallow-water flows | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1063/5.0057707 | - |
dc.relation.isPartOf | Physics of Fluids | - |
pubs.issue | 8 | - |
pubs.publication-status | Published | - |
pubs.volume | 33 | - |
dc.identifier.eissn | 1089-7666 | - |
Appears in Collections: | Dept of Mechanical and Aerospace Engineering Research Papers |
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