On the gradual reflection of weakly nonlinear Stokes waves in regions with varying topography
- 1 January 1986
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 162 (-1) , 187-209
- https://doi.org/10.1017/s0022112086002008
Abstract
Coupled equations governing the forward- and back-scattered components of a linear wave propagating in a region with varying depth may be derived from a second-order wave equation for linear wave motion. In this paper previous studies are extended to the case of weakly nonlinear Stokes waves coupled at third order in wave amplitude, using a Lagrangian formulation for irrotationaj motions. Comparison with previous computational and experimental results are made.Keywords
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