eprintid: 1349059 rev_number: 34 eprint_status: archive userid: 608 dir: disk0/01/34/90/59 datestamp: 2012-06-13 18:40:58 lastmod: 2021-09-19 22:25:50 status_changed: 2016-02-01 13:49:00 type: article metadata_visibility: show item_issues_count: 0 creators_name: Kaoullas, G creators_name: Johnson, ER title: Isobath variation and trapping of continental shelf waves ispublished: pub divisions: UCL divisions: B04 divisions: C06 divisions: F59 keywords: geophysical and geological flows, shallow water flows, topographic effects note: Copyright © Cambridge University Press 2012. abstract: Since Trösch (Proceedings of the 4th International Conference on Applied Numerical Modeling, Tainan, Taiwan, 1984 (ed. H. M. Hsia, Y. L. Chou, S. Y. Wang & S. J. Hsieh) Science and Technology Series, vol. 63, 1986, pp. 307–311. American Astronautical Society) found trapped sub-inertial oscillations in computations of low-frequency variability in the Lake of Lugano, models of trapping have generally considered evenly spaced isobaths parallel to shorelines with approximate boundary conditions at any shelf–ocean boundary. Here an asymptotic analysis for slowly varying topography and accurate spectral computations demonstrate trapping on non-rectilinear shelves. It is shown that changes in any of three factors, isobath curvature, distance from the coast and the shelf-break, and the slope at the shelf-break, are sufficient on their own to give trapping. Continental shelves that abut smoothly onto the open ocean are considered thus avoiding the shelf–ocean boundary condition approximation and allowing the accuracy of previous approximations to be assessed. date: 2012-06 official_url: http://dx.doi.org/10.1017/jfm.2012.153 vfaculties: VMPS oa_status: green full_text_type: other language: eng primo: open primo_central: open_green verified: verified_manual elements_source: WoS-Lite elements_id: 414214 doi: 10.1017/jfm.2012.153 lyricists_name: Johnson, Edward lyricists_id: ERJOH80 full_text_status: public publication: Journal of Fluid Mechanics volume: 700 pagerange: 283-303 issn: 0022-1120 citation: Kaoullas, G; Johnson, ER; (2012) Isobath variation and trapping of continental shelf waves. Journal of Fluid Mechanics , 700 pp. 283-303. 10.1017/jfm.2012.153 <https://doi.org/10.1017/jfm.2012.153>. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/1349059/1/Johnson_Trapped_shelf_waves_v4_UCL_RPS.pdf