COMBINED REFRACTION-DIFFRACTION OF NONLINEAR WAVES IN SHALLOW WATER.

James T. Kirby; Philip L.P. Liu; Sung B. Yoon; Robert A. Dalrymple

doi:10.1061/9780872624382.069

COMBINED REFRACTION-DIFFRACTION OF NONLINEAR WAVES IN SHALLOW WATER.

James T. Kirby^*, Philip L.P. Liu, Sung B. Yoon, Robert A. Dalrymple

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

The parabolic approximation is developed to study the combined refraction/diffraction of weakly nonlinear shallow water waves. Two methods of approach are taken. In the first method Boussinesq equations are used to derive evolution equations for spectral wave components in a slowly varying two-dimensional domain. The second method modifies the equation of Kadomtsev & Petviashvili to include varying depth in two dimensions. Comparisons are made between present numerical results, experimental data and previous numerical calculations.

Original language	English (US)
Title of host publication	Proceedings of the Coastal Engineering Conference
Publisher	ASCE
Pages	999-1015
Number of pages	17
ISBN (Print)	0872624832
DOIs	https://doi.org/10.1061/9780872624382.069
State	Published - 1985

Publication series

Name	Proceedings of the Coastal Engineering Conference
Volume	1

ASJC Scopus subject areas

General Engineering

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10.1061/9780872624382.069

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title = "COMBINED REFRACTION-DIFFRACTION OF NONLINEAR WAVES IN SHALLOW WATER.",

abstract = "The parabolic approximation is developed to study the combined refraction/diffraction of weakly nonlinear shallow water waves. Two methods of approach are taken. In the first method Boussinesq equations are used to derive evolution equations for spectral wave components in a slowly varying two-dimensional domain. The second method modifies the equation of Kadomtsev \& Petviashvili to include varying depth in two dimensions. Comparisons are made between present numerical results, experimental data and previous numerical calculations.",

author = "Kirby, \{James T.\} and Liu, \{Philip L.P.\} and Yoon, \{Sung B.\} and Dalrymple, \{Robert A.\}",

year = "1985",

doi = "10.1061/9780872624382.069",

language = "English (US)",

isbn = "0872624832",

series = "Proceedings of the Coastal Engineering Conference",

publisher = "ASCE",

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T1 - COMBINED REFRACTION-DIFFRACTION OF NONLINEAR WAVES IN SHALLOW WATER.

AU - Kirby, James T.

AU - Liu, Philip L.P.

AU - Yoon, Sung B.

AU - Dalrymple, Robert A.

PY - 1985

Y1 - 1985

N2 - The parabolic approximation is developed to study the combined refraction/diffraction of weakly nonlinear shallow water waves. Two methods of approach are taken. In the first method Boussinesq equations are used to derive evolution equations for spectral wave components in a slowly varying two-dimensional domain. The second method modifies the equation of Kadomtsev & Petviashvili to include varying depth in two dimensions. Comparisons are made between present numerical results, experimental data and previous numerical calculations.

AB - The parabolic approximation is developed to study the combined refraction/diffraction of weakly nonlinear shallow water waves. Two methods of approach are taken. In the first method Boussinesq equations are used to derive evolution equations for spectral wave components in a slowly varying two-dimensional domain. The second method modifies the equation of Kadomtsev & Petviashvili to include varying depth in two dimensions. Comparisons are made between present numerical results, experimental data and previous numerical calculations.

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UR - http://www.scopus.com/inward/citedby.url?scp=0021820611&partnerID=8YFLogxK

U2 - 10.1061/9780872624382.069

DO - 10.1061/9780872624382.069

M3 - Conference contribution

AN - SCOPUS:0021820611

SN - 0872624832

T3 - Proceedings of the Coastal Engineering Conference

SP - 999

EP - 1015

BT - Proceedings of the Coastal Engineering Conference

PB - ASCE

ER -

COMBINED REFRACTION-DIFFRACTION OF NONLINEAR WAVES IN SHALLOW WATER.

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