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Type: Journal article
Title: The interaction of flexural-gravity waves with periodic geometries
Author: Bennetts, L.
Biggs, N.
Porter, D.
Citation: Wave Motion, 2009; 46(1):57-73
Publisher: Elsevier Science BV
Issue Date: 2009
ISSN: 0165-2125
Statement of
L.G. Bennetts, N.R.T. Biggs, D. Porter
Abstract: A periodic structure of finite extent is embedded within an otherwise uniform two-dimensional system consisting of finite-depth fluid covered by a thin elastic plate. An incident harmonic flexural-gravity wave is scattered by the structure. By using an approximation to the corresponding linearised boundary value problem that is based on a slowly varying structure in conjunction with a transfer matrix formulation, a method is developed that generates the whole solution from that for just one cycle of the structure, providing both computational savings and insight into the scattering process. Numerical results show that variations in the plate produce strong resonances about the 'Bragg frequencies' for relatively few periods. We find that certain geometrical variations in the plate generate these resonances above the Bragg value, whereas other geometries produce the resonance below the Bragg value. The familiar resonances due to periodic bed undulations tend to be damped by the plate. © 2008 Elsevier B.V. All rights reserved.
Keywords: Sea-ice
Wave scattering
Rights: © 2008 Elsevier B.V. All rights reserved.
DOI: 10.1016/j.wavemoti.2008.08.002
Appears in Collections:Aurora harvest 4
Mathematical Sciences publications

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