Propagation of weakly nonlinear surface waves in the presence of varying depth and currents.

J. T. Kirby, R. A. Dalrymple

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1 Scopus citations

Abstract

A hyberbolic equation governing the propagation of weakly nonlinear surface waves in regions with varying depth and current is derived using the Stokes' expansion in the small parameter k/A/ and a variational principle for irrotational motion. Substituting an assumed form for the leading order wave motion and neglecting time dependence of the wave amplitude leads directly to a parabolic equation governing the combined refraction diffraction of plane waves. This equation is then used to obtain numerical solutions for linear and nonlinear wave fields for several examples involving caustics in the refraction approximation. (A)

Original languageEnglish (US)
JournalIN: PROC. XX IAHR CONGRESS, (MOSCOW, U.S.S.R.: SEP. 5-9, 1983)
Volume3 , Delft, The Netherlands, IAHR, 1983, Seminar 1, Theme 5, Paper S.1.5.3, p.198-202.
StatePublished - 1983

ASJC Scopus subject areas

  • Engineering(all)

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