An Outer Boundary Integral Equation Applied to Transient Wave Scattering in an Inhomogeneous Medium

[+] Author and Article Information
R. P. Shaw

Joint Tsunami Research Effort, University of Hawaii, Honolulu, Hawaii

J. Appl. Mech 42(1), 147-152 (Mar 01, 1975) (6 pages) doi:10.1115/1.3423506 History: Received July 01, 1974; Revised October 01, 1974; Online July 12, 2010


The transient scattering of waves by an island surrounded by a locally variable water depth is solved by a finite-difference integration in the inhomogeneous region terminated at an outer boundary, beyond which the medium is infinite and homogeneous. At this outer boundary, an exact relationship between wave heights and velocities is used in the form of a Kirchhoff time-retarded integral equation. Examples are given for a constant depth, to check against other solutions, and for a parabolic depth with two forms of incident waves, a ramp-step, and a Gaussian.

Copyright © 1975 by ASME
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