Analytical solution for the propagation of finite crested long waves over a sloping beach

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2022-2-10

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Yağmur, Ahmed Sabri

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The analytical solution of shallow water-wave equations, both linear and nonlinear, is widely used to provide an insightful understanding of the coastal effect of long waves. These solutions are generally carried out for two-dimensional (1 space + 1 time) propagation, even though there are a limited number of analytical solutions for the three-dimensional (2 space + 1 time) propagation. Three-dimensional propagation of long waves over a sloping beach is considered here. The analytical solution is obtained using the linear shallow water-wave theory resulting in double indefinite integrals. The solution is evaluated using various numerical methods, and results are discussed.

Subject Keywords

analytical solution, shallow water, long waves, finite crest, tsunami

URI

https://hdl.handle.net/11511/96239

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

A. S. Yağmur, “Analytical solution for the propagation of finite crested long waves over a sloping beach,” M.S. - Master of Science, Middle East Technical University, 2022.