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New Analytical Solution for Nonlinear Shallow Water-Wave Equations
Date
2017-08-01
Author
AYDIN, BARAN
Kanoğlu, Utku
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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We solve the nonlinear shallow water-wave equations over a linearly sloping beach as an initial-boundary value problem under general initial conditions, i.e., an initial wave profile with and without initial velocity. The methodology presented here is extremely simple and allows a solution in terms of eigenfunction expansion, avoiding integral transform techniques, which sometimes result in singular integrals. We estimate parameters, such as the temporal variations of the shoreline position and the depth-averaged velocity, compare with existing solutions, and observe perfect agreement with substantially less computational effort.
Subject Keywords
Tsunami
,
Long wave
,
Runup
,
Shallow water-wave
URI
https://hdl.handle.net/11511/39366
Journal
PURE AND APPLIED GEOPHYSICS
DOI
https://doi.org/10.1007/s00024-017-1508-z
Collections
Department of Aerospace Engineering, Article