Note on conservation equations for nonlinear surface waves

Beji S.

OCEAN ENGINEERING, cilt.25, sa.7, ss.607-613, 1998 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Konu: 7
  • Basım Tarihi: 1998
  • Doi Numarası: 10.1016/s0029-8018(97)00030-9
  • Sayfa Sayıları: ss.607-613


Euler's equations of motion in conjunction with the dynamic boundary condition are manipulated to obtain exact (and approximate) alternative momentum equations for nonlinear irrotational surface waves. The Airy and Boussinesq equations are re-derived as demonstrative examples. A fully nonlinear version of the improved Boussinesq equations is presented as a new application of the proposed equations. Further use of the equations in developing depth-integrated wave models, which are not necessarily restricted to finite depths, is also pointed out. (C) 1998 Elsevier Science Ltd. All rights reserved.