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Analytical solutions for evolution and runup of longwaves over a sloping beach
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index.pdf
Date
2019
Author
Ceylan, Nihal
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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The initial value problem of the linear evolution and runup of long waves on a plane beach is analyzed analytically. The shallow water-wave equations are solved by integral transform and eigenvalue expansion methodologies. The results from linear solutions are compared with the solution of the nonlinear shallow water-wave equations confirming the runup invariance, i.e. nonlinear and linear theories produce same maximum runup. Then, existing analytical nonlinear solution for shoreline motion is implemented for the waveforms given for near-shore earthquakes producing results exactly compared with existing ones, but with a much simpler algebra.
Subject Keywords
Tsunamis.
,
Keywords: Tsunami
,
shallow water-wave equations
,
wave runup/rundown
,
analytical solution.
URI
http://etd.lib.metu.edu.tr/upload/12623825/index.pdf
https://hdl.handle.net/11511/45333
Collections
Graduate School of Natural and Applied Sciences, Thesis