Interactions of nonlinear gravity waves and uniform current in Lagrangian system

Hung Chu Hsu, Yang Yih Chen, Meng Syue Li, Wen Jer Tseng

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The particle trajectory on a weakly nonlinear progressive surface wave obliquely interacting with a uniform current is studied by using an Euler-Lagrange transformation. The third-order asymptotic solution is a periodic bounded function of Lagrangian labels and time, which imply that the entire solution is uniformly-valid. The explicit parametric solution highlights the trajectory of a water particle and mass transport associated with a particle displacement can now be obtained directly in Lagrangian form. The angular frequency and Lagrangian mean level of the particle motion in Lagrangian form differ from those of the Eulerian. The variations in the water particle orbits resulting from the oblique interaction with a steady uniform current of different magnitudes are also investigated.

Original languageEnglish
Pages (from-to)89-98
Number of pages10
JournalActa Oceanologica Sinica
Volume28
Issue number1
Publication statusPublished - 2009 Apr 30

Fingerprint

nonlinear wave
gravity
gravity wave
trajectory
trajectories
particle motion
mass transport
surface wave
orbits
mass transfer
water
particle

All Science Journal Classification (ASJC) codes

  • Oceanography
  • Aquatic Science

Cite this

Hsu, Hung Chu ; Chen, Yang Yih ; Li, Meng Syue ; Tseng, Wen Jer. / Interactions of nonlinear gravity waves and uniform current in Lagrangian system. In: Acta Oceanologica Sinica. 2009 ; Vol. 28, No. 1. pp. 89-98.
@article{5ed67e3e2bfe4272a540bc6235e4e15b,
title = "Interactions of nonlinear gravity waves and uniform current in Lagrangian system",
abstract = "The particle trajectory on a weakly nonlinear progressive surface wave obliquely interacting with a uniform current is studied by using an Euler-Lagrange transformation. The third-order asymptotic solution is a periodic bounded function of Lagrangian labels and time, which imply that the entire solution is uniformly-valid. The explicit parametric solution highlights the trajectory of a water particle and mass transport associated with a particle displacement can now be obtained directly in Lagrangian form. The angular frequency and Lagrangian mean level of the particle motion in Lagrangian form differ from those of the Eulerian. The variations in the water particle orbits resulting from the oblique interaction with a steady uniform current of different magnitudes are also investigated.",
author = "Hsu, {Hung Chu} and Chen, {Yang Yih} and Li, {Meng Syue} and Tseng, {Wen Jer}",
year = "2009",
month = "4",
day = "30",
language = "English",
volume = "28",
pages = "89--98",
journal = "Acta Oceanologica Sinica",
issn = "0253-505X",
publisher = "Springer Verlag",
number = "1",

}

Interactions of nonlinear gravity waves and uniform current in Lagrangian system. / Hsu, Hung Chu; Chen, Yang Yih; Li, Meng Syue; Tseng, Wen Jer.

In: Acta Oceanologica Sinica, Vol. 28, No. 1, 30.04.2009, p. 89-98.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Interactions of nonlinear gravity waves and uniform current in Lagrangian system

AU - Hsu, Hung Chu

AU - Chen, Yang Yih

AU - Li, Meng Syue

AU - Tseng, Wen Jer

PY - 2009/4/30

Y1 - 2009/4/30

N2 - The particle trajectory on a weakly nonlinear progressive surface wave obliquely interacting with a uniform current is studied by using an Euler-Lagrange transformation. The third-order asymptotic solution is a periodic bounded function of Lagrangian labels and time, which imply that the entire solution is uniformly-valid. The explicit parametric solution highlights the trajectory of a water particle and mass transport associated with a particle displacement can now be obtained directly in Lagrangian form. The angular frequency and Lagrangian mean level of the particle motion in Lagrangian form differ from those of the Eulerian. The variations in the water particle orbits resulting from the oblique interaction with a steady uniform current of different magnitudes are also investigated.

AB - The particle trajectory on a weakly nonlinear progressive surface wave obliquely interacting with a uniform current is studied by using an Euler-Lagrange transformation. The third-order asymptotic solution is a periodic bounded function of Lagrangian labels and time, which imply that the entire solution is uniformly-valid. The explicit parametric solution highlights the trajectory of a water particle and mass transport associated with a particle displacement can now be obtained directly in Lagrangian form. The angular frequency and Lagrangian mean level of the particle motion in Lagrangian form differ from those of the Eulerian. The variations in the water particle orbits resulting from the oblique interaction with a steady uniform current of different magnitudes are also investigated.

UR - http://www.scopus.com/inward/record.url?scp=65349188869&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=65349188869&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:65349188869

VL - 28

SP - 89

EP - 98

JO - Acta Oceanologica Sinica

JF - Acta Oceanologica Sinica

SN - 0253-505X

IS - 1

ER -