New Analytical Solution for Nonlinear Shallow Water-Wave Equations

Aydin B., KANOĞLU U.

PURE AND APPLIED GEOPHYSICS, cilt.174, sa.8, ss.3209-3218, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 174 Sayı: 8
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s00024-017-1508-z
  • Dergi Adı: PURE AND APPLIED GEOPHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3209-3218
  • Anahtar Kelimeler: Tsunami, long wave, runup, shallow water-wave, RUN-UP, SLOPING BEACH, TENSILE FAULTS, TSUNAMI RUNUP, PLANE BEACH, LONG WAVES, HALF-SPACE, N-WAVES, SURF, DEFORMATION
  • Dokuz Eylül Üniversitesi Adresli: Hayır

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.