Accessibility navigation

Multi-mode approximations to wave scattering by an uneven bed

Chamberlain, P. G. and Porter, D. (2006) Multi-mode approximations to wave scattering by an uneven bed. Journal Of Fluid Mechanics, 556. pp. 421-441. ISSN 0022-1120

Full text not archived in this repository.

It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing.


Approximations to the scattering of linear surface gravity waves on water of varying quiescent depth are Investigated by means of a variational approach. Previous authors have used wave modes associated with the constant depth case to approximate the velocity potential, leading to a system of coupled differential equations. Here it is shown that a transformation of the dependent variables results in a much simplified differential equation system which in turn leads to a new multi-mode 'mild-slope' approximation. Further, the effect of adding a bed mode is examined and clarified. A systematic analytic method is presented for evaluating inner products that arise and numerical experiments for two-dimensional scattering are used to examine the performance of the new approximations.

Item Type:Article
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:4964

University Staff: Request a correction | Centaur Editors: Update this record

Page navigation