A numerical method for nonlinear water waves

Xi zeng ZHAO, Zhao chen SUN, Shu xiu LIANG, Chang hong HU

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

This article presents a numerical method for modeling nonlinear water waves based on the High Order Spectral (HOS) method proposed by Dommermuth and Yue and West et al., involving Taylor expansion of the Dirichlet problem and the Fast Fourier Transform (FFT) algorithm. The validation and efficiency of the numerical scheme is illustrated by a number of case studies on wave and wave train configuration including the evolution of fifth-order Stokes waves, wave dispersive focusing and the instability of Stokes wave with finite slope. The results agree well with those obtained by other studies.

Original languageEnglish
Pages (from-to)401-407
Number of pages7
JournalJournal of Hydrodynamics
Volume21
Issue number3
DOIs
Publication statusPublished - Jun 1 2009

Fingerprint

water waves
Water waves
Water Waves
Nonlinear Waves
Numerical methods
Numerical Methods
Stokes
Dirichlet problem
High-order Methods
spectral methods
Taylor Expansion
Fast Fourier transform
Spectral Methods
Fast Fourier transforms
Numerical Scheme
Dirichlet Problem
Slope
slopes
Configuration
expansion

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

A numerical method for nonlinear water waves. / ZHAO, Xi zeng; SUN, Zhao chen; LIANG, Shu xiu; HU, Chang hong.

In: Journal of Hydrodynamics, Vol. 21, No. 3, 01.06.2009, p. 401-407.

Research output: Contribution to journalArticle

ZHAO, Xi zeng ; SUN, Zhao chen ; LIANG, Shu xiu ; HU, Chang hong. / A numerical method for nonlinear water waves. In: Journal of Hydrodynamics. 2009 ; Vol. 21, No. 3. pp. 401-407.
@article{146c426550864902b68f5055c1db9bcd,
title = "A numerical method for nonlinear water waves",
abstract = "This article presents a numerical method for modeling nonlinear water waves based on the High Order Spectral (HOS) method proposed by Dommermuth and Yue and West et al., involving Taylor expansion of the Dirichlet problem and the Fast Fourier Transform (FFT) algorithm. The validation and efficiency of the numerical scheme is illustrated by a number of case studies on wave and wave train configuration including the evolution of fifth-order Stokes waves, wave dispersive focusing and the instability of Stokes wave with finite slope. The results agree well with those obtained by other studies.",
author = "ZHAO, {Xi zeng} and SUN, {Zhao chen} and LIANG, {Shu xiu} and HU, {Chang hong}",
year = "2009",
month = "6",
day = "1",
doi = "10.1016/S1001-6058(08)60163-8",
language = "English",
volume = "21",
pages = "401--407",
journal = "Journal of Hydrodynamics",
issn = "1001-6058",
publisher = "China Ocean Press",
number = "3",

}

TY - JOUR

T1 - A numerical method for nonlinear water waves

AU - ZHAO, Xi zeng

AU - SUN, Zhao chen

AU - LIANG, Shu xiu

AU - HU, Chang hong

PY - 2009/6/1

Y1 - 2009/6/1

N2 - This article presents a numerical method for modeling nonlinear water waves based on the High Order Spectral (HOS) method proposed by Dommermuth and Yue and West et al., involving Taylor expansion of the Dirichlet problem and the Fast Fourier Transform (FFT) algorithm. The validation and efficiency of the numerical scheme is illustrated by a number of case studies on wave and wave train configuration including the evolution of fifth-order Stokes waves, wave dispersive focusing and the instability of Stokes wave with finite slope. The results agree well with those obtained by other studies.

AB - This article presents a numerical method for modeling nonlinear water waves based on the High Order Spectral (HOS) method proposed by Dommermuth and Yue and West et al., involving Taylor expansion of the Dirichlet problem and the Fast Fourier Transform (FFT) algorithm. The validation and efficiency of the numerical scheme is illustrated by a number of case studies on wave and wave train configuration including the evolution of fifth-order Stokes waves, wave dispersive focusing and the instability of Stokes wave with finite slope. The results agree well with those obtained by other studies.

UR - http://www.scopus.com/inward/record.url?scp=68649115049&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=68649115049&partnerID=8YFLogxK

U2 - 10.1016/S1001-6058(08)60163-8

DO - 10.1016/S1001-6058(08)60163-8

M3 - Article

AN - SCOPUS:68649115049

VL - 21

SP - 401

EP - 407

JO - Journal of Hydrodynamics

JF - Journal of Hydrodynamics

SN - 1001-6058

IS - 3

ER -