New Analytical Solution for Nonlinear Shallow Water-Wave Equations

Date

2017-08-01

Author

AYDIN, BARAN
Kanoğlu, Utku

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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

Citation Formats

B. AYDIN and U. Kanoğlu, “New Analytical Solution for Nonlinear Shallow Water-Wave Equations,” PURE AND APPLIED GEOPHYSICS, vol. 174, no. 8, pp. 3209–3218, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39366.