Computation of long lived resonant modes and the poles of the S-matrix in water wave scattering

Title: Computation of long lived resonant modes and the poles of the S-matrix in water wave scattering
Creator: Meylan, Michael H.; Fitzgerald, Colm
Relation: Journal of Fluids and Structures Vol. 76, Issue January, p. 153-165
Publisher Link: http://dx.doi.org/10.1016/j.jfluidstructs.2017.10.002
Publisher: Academic Press
Resource Type: journal article
Date: 2018
Description: Water wave scattering by variable bathymetry and fixed objects in two-dimensions with particular interest in cases where long-lived resonant, or near-trapping, modes arise is studied. The S-matrix (or scattering matrix), which is derived from the frequency domain solution, is introduced and a numerical scheme to compute the elements for complex frequencies by the analytic extension is given. Various examples of the S-matrix are computed and the importance of the singularities or poles of the S-matrix are highlighted. The time-domain problem is then considered, in particular the fluid motion excited by the scattering of an incident wave packet. The singularity expansion method approximation for the time-dependent solution as a sum over resonant modes is obtained using the poles of the S-matrix. The method is illustrated with some numerical examples.
Subject: S-matrix; linear wave scattering; time-domain problem
Identifier: http://hdl.handle.net/1959.13/1393620
Identifier: uon:33565
Identifier: ISSN:0889-9746
Language: eng
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