Article ID Journal Published Year Pages File Type
4532495 Continental Shelf Research 2012 4 Pages PDF
Abstract

It is demonstrated how a hyperbolic-tangential shelf bathymetry can be used to mimic classical convex and concave bottom profiles employed for previous investigations of coastally trapped waves. This bathymetry permits a transformation of the governing wave equation which makes it possible to use Frobenius series expansions for solving the associated eigenvalue problems which yield the dispersion relations.

► Low-frequency coastally trapped waves were studied focusing on bottom topographies. ► A hyperbolic tangential function was adapted to different bathymetry approximations. ► Wave eigenfrequencies were calculated for two cases applying Frobenius' method.

Related Topics
Physical Sciences and Engineering Earth and Planetary Sciences Geology
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