Particle trajectories of nonlinear gravity waves in deep water

Hsien-Kuo Chang, Yang Yi Chen, Jin Cheng Liou*

*Corresponding author for this work

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

The paper presents a numerical method for calculating the particle trajectories of nonlinear gravity waves in deep water. Particle trajectories, mass-transport velocity and Lagrangian wave period can be accurately determined by the proposed method. The high success rate of the proposed method is examined by comparing the present results with those of (a) Longuet-Higgins, M.S., 1986, 1987. Eulerian and Lagrangian aspects of surface waves. Journal of Fluid Mechanics 173, 683-707 and (b) Lagrangian moments and mass transport in Stokes waves. Journal of Fluid Mechanics 179, 547-555. It is shown that the dimensionless mass-transport velocity can exceed 10% for large waves, and the Lagrangian wave period is much larger than the Eulerian wave period for large waves.

Original languageEnglish
Pages (from-to)324-329
Number of pages6
JournalOcean Engineering
Volume36
Issue number5
DOIs
StatePublished - 1 Apr 2009

Keywords

  • Lagrangian approach
  • Lagrangian wave period
  • Mass transport
  • Particle trajectory
  • Runge-Kutta-Verner method

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