Properties of surface and internal solitary waves

Kei Yamashita, Taro Kakinuma

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

Numerical solutions of surface and internal solitary waves are obtained through a new method, where advection equations on physical quantities including surface/interface displacements and velocity potential are solved to find convergent solutions by applying the Newton-Raphson method. The nonlinear wave equations derived using a variational principle are adopted as the fundamental equations in the present study. Surface and internal solitary waves obtained through the proposed method are compared with the corresponding theoretical solutions, as well as numerical solutions of the Euler equations, to verify the accuracy of solutions through the proposed method especially for internal solitary waves of large amplitude progressing at a large celerity with a flattened wave profile. Properties of surface and internal solitary waves are discussed considering vertical distribution of horizontal and vertical velocity, as well as kinetic and potential energy. Numerical simulation using a time-dependent model has also been performed to represent propagation of surface and internal solitary waves with permanent waveforms.

Original languageEnglish
Title of host publicationProceedings of the 34th International Conference on Coastal Engineering, ICCE 2014
EditorsPatrick Lynett
PublisherAmerican Society of Civil Engineers (ASCE)
ISBN (Electronic)9780989661126
Publication statusPublished - 2014 Jan 1
Event34th International Conference on Coastal Engineering, ICCE 2014 - Seoul, Korea, Republic of
Duration: 2014 Jun 152014 Jun 20

Publication series

NameProceedings of the Coastal Engineering Conference
Volume2014-January
ISSN (Print)0161-3782

Other

Other34th International Conference on Coastal Engineering, ICCE 2014
CountryKorea, Republic of
CitySeoul
Period14/6/1514/6/20

Keywords

  • Advection equation
  • Internal wave
  • Large amplitude
  • Nonlinear wave equation
  • Solitary wave

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Ocean Engineering
  • Oceanography

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