Abstract
An enhanced coupled-mode system of equations has been developed for the solution of the water-wave propagation problem over a bed, characterised by variable depth with locally steep bottom slope and large curvature. Except of the propagating and the evanescent modes, an additional mode with non-zero vertical derivative is included, permitting the exact satisfaction of the sloping-bottom boundary condition, for any value of the bottom slope. The effect of wave energy dissipation due to bottom friction is taken into account by including an appropriate imaginary part in the wavenumber. Numerical results demonstrating the practical applicability of the present method are given.
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