WIT Press

A Coupled-mode Propagation/dissipation Model Of Small-amplitude Water Waves Over Variable Bathymetry Regions

Price

Free (open access)

Paper DOI

10.2495/CE990271

Volume

43

Pages

10

Published

1999

Size

865 kb

Author(s)

O.K. Athanassoulis & K.A. Belibassakis

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

Keywords