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On the late-time behaviour of a bounded, inviscid two-dimensional flow
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dc.contributor.author | Dritschel, David Gerard | |
dc.contributor.author | Qi, Wanming | |
dc.contributor.author | Marston, J.B. | |
dc.date.accessioned | 2016-04-12T23:01:45Z | |
dc.date.available | 2016-04-12T23:01:45Z | |
dc.date.issued | 2015-11-25 | |
dc.identifier | 215934316 | |
dc.identifier | 41b41481-97a4-4e61-a4e5-c63624113f05 | |
dc.identifier | 84944320566 | |
dc.identifier | 000365009700002 | |
dc.identifier.citation | Dritschel , D G , Qi , W & Marston , J B 2015 , ' On the late-time behaviour of a bounded, inviscid two-dimensional flow ' , Journal of Fluid Mechanics , vol. 783 , pp. 1-22 . https://doi.org/10.1017/jfm.2015.535 | en |
dc.identifier.issn | 0022-1120 | |
dc.identifier.other | ORCID: /0000-0001-6489-3395/work/64697809 | |
dc.identifier.uri | https://hdl.handle.net/10023/8603 | |
dc.description | We thank the Kavli Institute for Theoretical Physics for supporting our participation in the 2014 Program “Wave-Flow Interaction in Geophysics, Climate, Astrophysics, and Plasmas” where this work was initiated. The KITP is supported in part by the NSF Grant No. NSF PHY11-25915. This work was also supported in part by the NSF under grant Nos. DMR-1306806 and CCF-1048701 (JBM and WQ). | en |
dc.description.abstract | Using complementary numerical approaches at high resolution, we study the late-time behaviour of an inviscid incompressible two-dimensional flow on the surface of a sphere. Starting from a random initial vorticity field comprised of a small set of intermediate-wavenumber spherical harmonics, we find that, contrary to the predictions of equilibrium statistical mechanics, the flow does not evolve into a large-scale steady state. Instead, significant unsteadiness persists, characterised by a population of persistent small-scale vortices interacting with a large-scale oscillating quadrupolar vorticity field. Moreover, the vorticity develops a stepped, staircase distribution, consisting of nearly homogeneous regions separated by sharp gradients. The persistence of unsteadiness is explained by a simple point-vortex model characterising the interactions between the four main vortices which emerge. | |
dc.format.extent | 22 | |
dc.format.extent | 5216219 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of Fluid Mechanics | en |
dc.subject | Turbulent mix | en |
dc.subject | Vortex dynamics | en |
dc.subject | Vortex flows | en |
dc.subject | QA Mathematics | en |
dc.subject | QC Physics | en |
dc.subject | NDAS | en |
dc.subject | BDC | en |
dc.subject | R2C | en |
dc.subject.lcc | QA | en |
dc.subject.lcc | QC | en |
dc.title | On the late-time behaviour of a bounded, inviscid two-dimensional flow | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | 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.identifier.doi | 10.1017/jfm.2015.535 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2016-04-13 |
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