Abstract
A fully dispersive weakly nonlinear water wave model is developed via a new approach named the multiterm-coupling technique, in which the velocity field is represented by a few vertical-dependence functions having different wave-numbers. This expression of velocity, which is approximately irrotational for variable depth, is used to satisfy the continuity and momentum equations. The Galerkin method is invoked to obtain a solvable set of coupled equations for the horizontal velocity components and shown to provide an optimum combination of the prescribed depth-dependence functions to represent a random wave-field with diversely varying wave-numbers.
Original language | English |
---|---|
Pages (from-to) | 303-318 |
Number of pages | 16 |
Journal | Proceedings - Royal Society of London, A |
Volume | 453 |
Issue number | 1957 |
DOIs | |
Publication status | Published - Jan 1 1997 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Engineering(all)
- Physics and Astronomy(all)