Numerical Solutions of Surface and Internal Solitary Waves Based on Nonlinear Wave Equations

DOI 4 References

Bibliographic Information

Other Title
  • 非線形波動方程式系に基づく表面孤立波及び内部孤立波の数値解

Abstract

Numerical solutions of stationary progressive water waves are obtained through a new method using nonlinear wave equations, where advection equations are satisfied for physical quantities, i.e., surface/interface displacements, velocity, or velocity potential. In the calculation process, the Newton-Raphson method is applied to find convergence solutions. In the present study, the nonlinear wave equations based on a variational principle are adopted as the fundamental equations. Stationary solutions of traveling surface/internal solitary waves are obtained to be compared with the corresponding theoretical solutions, as well as numerical solutions of Euler equations, such that the accuracy of solutions through the wave equations is verified also for large amplitude internal solitary waves with large wave celerity and flatter wave profiles.

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Details 詳細情報について

  • CRID
    1390282680295806848
  • NII Article ID
    130004551150
  • DOI
    10.2208/kaigan.69.i_6
  • ISSN
    18838944
    18842399
  • Text Lang
    ja
  • Data Source
    • JaLC
    • Crossref
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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