Numerical analyses on propagation of nonlinear internal waves

Kei Yamashita, Taro Kakinuma, Keisuke Nakayama

Research output: Contribution to journalConference articlepeer-review

2 Citations (Scopus)


A set of nonlinear surface/internal-wave equations, which have been derived on the basis of the variational principle without any assumptions concerning wave nonlinearity and dispersion, is applied to compare numerical results with experimental data of surface/internal waves propagating through a shallow- or a deep-water region in a tank. Internal waves propagating over a submerged breakwater or a uniformly sloping beach are also simulated. The internal progressive wave shows remarkable shoaling when the interface reaches the critical level, after which physical variables including wave celerity become unstable near the wave-breaking point. In the case of the internal-wave trough reflecting at the vertical wall, the vertical velocities of water particles in the vicinity of the interface are different from that of the moving interface at the wall near the wave breaking, which means that the kinematic boundary condition on the interface of trough has been unsatisfied.

Original languageEnglish
JournalProceedings of the Coastal Engineering Conference
Publication statusPublished - 2010 Dec 1
Externally publishedYes
Event32nd International Conference on Coastal Engineering, ICCE 2010 - Shanghai, China
Duration: 2010 Jun 302010 Jul 5


  • Internal wave
  • Submerged breakwater
  • Two-layer system
  • Variational principle
  • Wave breaking

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Ocean Engineering
  • Oceanography


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