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Journal of Fluid Mechanics
ISSN: 0022-1120

EISSN: 1469-7645

URL: /core/journals/journal-of-fluid-mechanics
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Volume 136 - November 1983

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Research Article

A parabolic equation for the combined refraction–diffraction of Stokes waves by mildly varying topography
James T. Kirby, Robert A. Dalrymple
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20 April 2006, pp. 453-466
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A parabolic equation governing the leading-order amplitude for a forward-scattered Stokes wave is derived using a multiple-scale perturbation method, and the connection between the linearized version and a previously derived approximation of the linear mild slope equation is investigated. Two examples are studied numerically for the situation where linear refraction theory leads to caustics, and the nonlinear model is shown to predict the development of wave-jump conditions and significant reductions in amplitude in the vicinity of caustics.

REVIEWS

Finite Elements in Fluids, Vol, IV. Edited by R. H. GALLAGHER, D. H. NORRIE, J. T. ODEN and O. C. ZIENKEWICZ. Wiley, 1982. 647 pp. $30.00. Finite Element Flow Analysis. Edited by T. KAWAI. North Holland, 1983. 1096 pp. $95.00.
A. G. Hutton
Published online by Cambridge University Press:

20 April 2006, pp. 467-469
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Published online by Cambridge University Press:

20 April 2006, pp. 472-473
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Volume 136 - November 1983

Research Article

A parabolic equation for the combined refraction–diffraction of Stokes waves by mildly varying topography

REVIEWS

Finite Elements in Fluids, Vol, IV. Edited by R. H. GALLAGHER, D. H. NORRIE, J. T. ODEN and O. C. ZIENKEWICZ. Wiley, 1982. 647 pp. $30.00. Finite Element Flow Analysis. Edited by T. KAWAI. North Holland, 1983. 1096 pp. $95.00.

SHORTER NOTICES

INDEX

INDEX

Journal of Fluid Mechanics

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Volume 136 - November 1983

Research Article

A parabolic equation for the combined refraction–diffraction of Stokes waves by mildly varying topography

REVIEWS

Finite Elements in Fluids, Vol, IV. Edited by R. H. GALLAGHER, D. H. NORRIE, J. T. ODEN and O. C. ZIENKEWICZ. Wiley, 1982. 647 pp. $30.00. Finite Element Flow Analysis. Edited by T. KAWAI. North Holland, 1983. 1096 pp. $95.00.

SHORTER NOTICES

INDEX

INDEX