An approximate model for nonlinear dispersion in monochromatic wave propagation models

James T. Kirby; Robert A. Dalrymple

doi:10.1016/0378-3839(86)90003-7

An approximate model for nonlinear dispersion in monochromatic wave propagation models

James T. Kirby^*, Robert A. Dalrymple

^*Corresponding author for this work

Civil and Environmental Engineering

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

136 Scopus citations

Abstract

A method is proposed for smoothly matching an approximate, shallow-water dispersion relation to an analytically obtained relation for intermediate and deep water. The method provides a correct limit for increasing water depth in the case of weakly non-linear waves, and provides a smooth prediction of wave parameters for the entire range of water depth. The model is applied to a parabolic equation form of the combined refraction-diffraction model, and numerical results are presented in comparison to published data.

Original language	English (US)
Pages (from-to)	545-561
Number of pages	17
Journal	Coastal Engineering
Volume	9
Issue number	6
DOIs	https://doi.org/10.1016/0378-3839(86)90003-7
State	Published - Mar 1986

Funding

This work was funded in part by the Coastal Sciences Program, Office of Naval Research.

ASJC Scopus subject areas

Environmental Engineering
Ocean Engineering

Access to Document

10.1016/0378-3839(86)90003-7

Cite this

@article{8f7a746ce3354a62a1f5be8589abcf72,

title = "An approximate model for nonlinear dispersion in monochromatic wave propagation models",

abstract = "A method is proposed for smoothly matching an approximate, shallow-water dispersion relation to an analytically obtained relation for intermediate and deep water. The method provides a correct limit for increasing water depth in the case of weakly non-linear waves, and provides a smooth prediction of wave parameters for the entire range of water depth. The model is applied to a parabolic equation form of the combined refraction-diffraction model, and numerical results are presented in comparison to published data.",

author = "Kirby, {James T.} and Dalrymple, {Robert A.}",

note = "Funding Information: This work was funded in part by the Coastal Sciences Program, Office of Naval Research.",

year = "1986",

month = mar,

doi = "10.1016/0378-3839(86)90003-7",

language = "English (US)",

volume = "9",

pages = "545--561",

journal = "Coastal Engineering",

issn = "0378-3839",

publisher = "Elsevier B.V.",

number = "6",

}

TY - JOUR

T1 - An approximate model for nonlinear dispersion in monochromatic wave propagation models

AU - Kirby, James T.

AU - Dalrymple, Robert A.

N1 - Funding Information: This work was funded in part by the Coastal Sciences Program, Office of Naval Research.

PY - 1986/3

Y1 - 1986/3

N2 - A method is proposed for smoothly matching an approximate, shallow-water dispersion relation to an analytically obtained relation for intermediate and deep water. The method provides a correct limit for increasing water depth in the case of weakly non-linear waves, and provides a smooth prediction of wave parameters for the entire range of water depth. The model is applied to a parabolic equation form of the combined refraction-diffraction model, and numerical results are presented in comparison to published data.

AB - A method is proposed for smoothly matching an approximate, shallow-water dispersion relation to an analytically obtained relation for intermediate and deep water. The method provides a correct limit for increasing water depth in the case of weakly non-linear waves, and provides a smooth prediction of wave parameters for the entire range of water depth. The model is applied to a parabolic equation form of the combined refraction-diffraction model, and numerical results are presented in comparison to published data.

UR - http://www.scopus.com/inward/record.url?scp=0022681813&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022681813&partnerID=8YFLogxK

U2 - 10.1016/0378-3839(86)90003-7

DO - 10.1016/0378-3839(86)90003-7

M3 - Article

AN - SCOPUS:0022681813

SN - 0378-3839

VL - 9

SP - 545

EP - 561

JO - Coastal Engineering

JF - Coastal Engineering

IS - 6

ER -

An approximate model for nonlinear dispersion in monochromatic wave propagation models

Abstract

Funding

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this