Analytical solutions for evolution and runup of longwaves over a sloping beach

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2019
Ceylan, Nihal
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.

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Citation Formats
N. Ceylan, “Analytical solutions for evolution and runup of longwaves over a sloping beach,” Thesis (M.S.) -- Graduate School of Natural and Applied Sciences. Engineering Sciences., Middle East Technical University, 2019.