Combined refraction-diffraction of nonlinear waves in shallow water.

J. T. Kirby; P. L.F. Liu; S. B. Yoon; R. A. Dalrymple

Combined refraction-diffraction of nonlinear waves in shallow water.

J. T. Kirby, P. L.F. Liu, S. B. Yoon, R. A. Dalrymple

Department of Hydraulic and Ocean Engineering

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

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 and Petviashvili to include numerical results, experimental data and previous numerical calculations. The parabolic equation method appears satisfactory. (A)

Original language	English
Title of host publication	IN
Subtitle of host publication	PROC. NINETEENTH INT. CONF. ON COASTAL ENGINEERING (HOUSTON, U.S.A.: SEP. 3-7, 1984), B.L. EDGE (ED.)
Publisher	Am. Soc. Civ. Engrs
Volume	1 , New York, U.S.A., Am. Soc. Civ. Engrs., 1985, Part I, Chapter 68, p.999-1015. (ISBN 0-87262-438-2)
ISBN (Print)	0872624382, 9780872624382
Publication status	Published - 1985

All Science Journal Classification (ASJC) codes

General Engineering

Cite this

Kirby, J. T., Liu, P. L. F., Yoon, S. B., & Dalrymple, R. A. (1985). Combined refraction-diffraction of nonlinear waves in shallow water. In IN: PROC. NINETEENTH INT. CONF. ON COASTAL ENGINEERING (HOUSTON, U.S.A.: SEP. 3-7, 1984), B.L. EDGE (ED.) (Vol. 1 , New York, U.S.A., Am. Soc. Civ. Engrs., 1985, Part I, Chapter 68, p.999-1015. (ISBN 0-87262-438-2)). Am. Soc. Civ. Engrs.

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Combined refraction-diffraction of nonlinear waves in shallow water. / Kirby, J. T.; Liu, P. L.F.; Yoon, S. B. et al.
IN: PROC. NINETEENTH INT. CONF. ON COASTAL ENGINEERING (HOUSTON, U.S.A.: SEP. 3-7, 1984), B.L. EDGE (ED.). Vol. 1 , New York, U.S.A., Am. Soc. Civ. Engrs., 1985, Part I, Chapter 68, p.999-1015. (ISBN 0-87262-438-2) Am. Soc. Civ. Engrs, 1985.

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

TY - CHAP

T1 - Combined refraction-diffraction of nonlinear waves in shallow water.

AU - Kirby, J. T.

AU - Liu, P. L.F.

AU - Yoon, S. B.

AU - Dalrymple, R. 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 and Petviashvili to include numerical results, experimental data and previous numerical calculations. The parabolic equation method appears satisfactory. (A)

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 and Petviashvili to include numerical results, experimental data and previous numerical calculations. The parabolic equation method appears satisfactory. (A)

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M3 - Chapter

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SN - 0872624382

SN - 9780872624382

VL - 1 , New York, U.S.A., Am. Soc. Civ. Engrs., 1985, Part I, Chapter 68, p.999-1015. (ISBN 0-87262-438-2)

BT - IN

PB - Am. Soc. Civ. Engrs

ER -

Combined refraction-diffraction of nonlinear waves in shallow water.

Abstract

All Science Journal Classification (ASJC) codes

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