A numerical method for nonlinear water waves

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

doi:10.1016/S1001-6058(08)60163-8

A numerical method for nonlinear water waves

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

Division of Renewable Energy Dynamics

Research output: Contribution to journal › Article › peer-review

15 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 language	English
Pages (from-to)	401-407
Number of pages	7
Journal	Journal of Hydrodynamics
Volume	21
Issue number	3
DOIs	https://doi.org/10.1016/S1001-6058(08)60163-8
Publication status	Published - Jun 2009

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

Access to Document

10.1016/S1001-6058(08)60163-8

Cite this

@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}",

note = "Funding Information: * Project supported by the National Natural Science Foundation of China (Grant No. 50779004). Biography: ZHAO Xi-zeng (1979-), Male, Ph. D. Candidate",

year = "2009",

month = jun,

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

N1 - Funding Information: * Project supported by the National Natural Science Foundation of China (Grant No. 50779004). Biography: ZHAO Xi-zeng (1979-), Male, Ph. D. Candidate

PY - 2009/6

Y1 - 2009/6

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

SN - 1001-6058

VL - 21

SP - 401

EP - 407

JO - Journal of Hydrodynamics

JF - Journal of Hydrodynamics

IS - 3

ER -

A numerical method for nonlinear water waves

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this