New Analytical Solution for Nonlinear Shallow Water-Wave Equations
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Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Tsunami, long wave, runup, shallow water-wave
Kaynak
Pure and Applied Geophysics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
174
Sayı
8
