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THE LOW-FREQUENCY SCATTERING OF KELVIN-WAVES BY STEPPED TOPOGRAPHY

JOHNSON, ER; (1990) THE LOW-FREQUENCY SCATTERING OF KELVIN-WAVES BY STEPPED TOPOGRAPHY. J FLUID MECH , 215 (JUN) 23 - 44. 10.1017/S0022112090002531. Green open access

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Abstract

A straightforward method that yields explicit transmission amplitudes is presented for Kelvin wave scattering by topography whose isobaths are parallel sufficiently far from the vertical, but not necessarily planar, wall supporting the incident wave. These results are obtained by first restricting attention to the low-frequency limit in which the flow splits naturally into three regions: an outer-x region containing the incident and transmitted Kelvin waves, an outer-y region containing outwardly propagating long topographic waves and an inner quasi-steady geostrophic region whose structure follows from earlier time-dependent analyses. The present analysis is further simplified by approximating general smooth features by stepped profiles with no restriction on the size, number or order of steps. Various qualitative results on the transmission amplitudes and flow fields are deduced from the explicit solutions and results are given on orthogonality, completeness and direction of propagation of the scattered long waves.

Type: Article
Title: THE LOW-FREQUENCY SCATTERING OF KELVIN-WAVES BY STEPPED TOPOGRAPHY
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S0022112090002531
Publisher version: http://dx.doi.org/10.1017/S0022112090002531
Language: English
Additional information: © 1990 Cambridge University Press
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/1325362
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