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dc.contributor.authorDritschel, David Gerard
dc.contributor.authorGottwald, Georg
dc.contributor.authorOliver, Marcel
dc.date.accessioned2017-06-28T11:30:15Z
dc.date.available2017-06-28T11:30:15Z
dc.date.issued2017-07-10
dc.identifier250361143
dc.identifier90f051df-1d79-42c5-bf23-1a1ca504b614
dc.identifier85020623645
dc.identifier000403090300033
dc.identifier.citationDritschel , D G , Gottwald , G & Oliver , M 2017 , ' Comparison of variational balance models for the rotating shallow water equations ' , Journal of Fluid Mechanics , vol. 822 , pp. 689-716 . https://doi.org/10.1017/jfm.2017.292en
dc.identifier.issn0022-1120
dc.identifier.otherORCID: /0000-0001-6489-3395/work/64697782
dc.identifier.urihttps://hdl.handle.net/10023/11100
dc.descriptionFunding through the TRR 181 is gratefully acknowledged. GAG’s initial work was funded by the Australian Research Council grant DP0452147. All three authors received support for this research from the UK Engineering and Physical Sciences Research Council (grant number EP/H001794/1).en
dc.description.abstractWe present an extensive numerical comparison of a family of balance models appropriate to the semi-geostrophic limit of the rotating shallow water equations, and derived by variational asymptotics in Oliver (J. Fluid Mech., vol. 551, 2006, pp. 197–234) for small Rossby numbers Ro . This family of generalized large-scale semi-geostrophic (GLSG) models contains the L 1-model introduced by Salmon (J. Fluid. Mech., vol. 132, 1983, pp. 431-444) as a special case. We use these models to produce balanced initial states for the full shallow water equations. We then numerically investigate how well these models capture the dynamics of an initially balanced shallow water flow. It is shown that, whereas the L 1-member of the GLSG family is able to reproduce the balanced dynamics of the full shallow water equations on time scales of O ( 1/Ro ) very well, all other members develop significant unphysical high wavenumber contributions in the ageostrophic vorticity which spoil the dynamics.
dc.format.extent28
dc.format.extent7049443
dc.format.extent7049443
dc.language.isoeng
dc.relation.ispartofJournal of Fluid Mechanicsen
dc.subjectRotating flowsen
dc.subjectShallow water flowsen
dc.subjectVariational methodsen
dc.subjectQA Mathematicsen
dc.subjectQC Physicsen
dc.subjectNDASen
dc.subjectBDCen
dc.subjectR2Cen
dc.subject.lccQAen
dc.subject.lccQCen
dc.titleComparison of variational balance models for the rotating shallow water equationsen
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.contributor.institutionUniversity of St Andrews. Marine Alliance for Science & Technology Scotlanden
dc.contributor.institutionUniversity of St Andrews. Scottish Oceans Instituteen
dc.identifier.doi10.1017/jfm.2017.292
dc.description.statusPeer revieweden
dc.date.embargoedUntil2017-12-07
dc.identifier.grantnumberEP/H001794/1en


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