The effect of frequency dispersion on plane waves generated as a result of bed motions

The effect of frequency dispersion on plane waves generated as a result of bed motions Using a linear statement, the paper studies surface waves occurring due to minor shifts of the bottom sections. A plane case is considered. An analytical solution to the problem has been derived using Fourier transforms. Asymptotic laws for the degeneration of waves propagating over finite bottom deformations have been defined. Numerical analysis of the integrals is applied to study the effect of the horizontal extent of a wave generation area and bottom irregularities on the shape of waves and their amplitudinal and energetic parameters. Attention is focused on the manifestation of frequency dispersion at the stage of wave generation as a developed wave process. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Oceanography Springer Journals

The effect of frequency dispersion on plane waves generated as a result of bed motions

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Publisher
Springer Journals
Copyright
Copyright © 1997 by VSP
Subject
Earth Sciences; Oceanography; Remote Sensing/Photogrammetry; Atmospheric Sciences; Climate Change; Environmental Physics
ISSN
0928-5105
eISSN
0928-5105
D.O.I.
10.1007/BF02523066
Publisher site
See Article on Publisher Site

Abstract

Using a linear statement, the paper studies surface waves occurring due to minor shifts of the bottom sections. A plane case is considered. An analytical solution to the problem has been derived using Fourier transforms. Asymptotic laws for the degeneration of waves propagating over finite bottom deformations have been defined. Numerical analysis of the integrals is applied to study the effect of the horizontal extent of a wave generation area and bottom irregularities on the shape of waves and their amplitudinal and energetic parameters. Attention is focused on the manifestation of frequency dispersion at the stage of wave generation as a developed wave process.

Journal

Physical OceanographySpringer Journals

Published: Oct 21, 2006

References

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