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dc.contributor.authorCarr, Magda
dc.contributor.authorKing, Stuart Edward
dc.contributor.authorDritschel, David Gerard
dc.identifier.citationCarr , M , King , S E & Dritschel , D G 2012 , ' Instability in internal solitary waves with trapped cores ' , Physics of Fluids , vol. 24 , no. 1 , 016601 .
dc.identifier.otherPURE: 17779963
dc.identifier.otherPURE UUID: 577c5194-26c2-449e-ae1a-639c38c4e28a
dc.identifier.otherScopus: 84856437578
dc.identifier.otherORCID: /0000-0001-6489-3395/work/64697826
dc.description.abstractA numerical method that employs a combination of contour advection and pseudo-spectral techniques is used to investigate instability in internal solitary waves with trapped cores. A three-layer configuration for the background stratification in which the top two layers are linearly stratified and the lower layer is homogeneous is considered throughout. The strength of the stratification in the very top layer is chosen to be sufficient so that waves of depression with trapped cores can be generated. The flow is assumed to satisfy the Dubriel-Jacotin-Long equation both inside and outside of the core region. The Brunt-Vaisala frequency is modelled such that it varies from a constant value outside of the core to zero inside the core over a sharp but continuous transition length. This results in a stagnant core in which the vorticity is zero and the density is homogeneous and approximately equal to that at the core boundary. The time dependent simulations show that instability occurs on the boundary of the core. The instability takes the form of Kelvin-Helmholtz billows. If the instability in the vorticity field is energetic enough, disturbance in the buoyancy field is also seen and fluid exchange takes place across the core boundary. Occurrence of the Kelvin-Helmholtz billows is attributed to the sharp change in the vorticity field at the boundary between the core and the pycnocline. The numerical scheme is not limited by small Richardson number unlike the other alternatives currently available in the literature which appear to be.
dc.relation.ispartofPhysics of Fluidsen
dc.rightsThis is the author's version of this article. The published version © 2012 American Institute of Physics is available at
dc.subjectFlow instabilityen
dc.subjectStratified flowen
dc.subjectQA Mathematicsen
dc.titleInstability in internal solitary waves with trapped coresen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.contributor.institutionUniversity of St Andrews. Scottish Oceans Instituteen
dc.contributor.institutionUniversity of St Andrews. Marine Alliance for Science & Technology Scotlanden
dc.description.statusPeer revieweden

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