Boundary element method for long‐time water wave propagation over rapidly varying bottom topography
- 15 June 1992
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Fluids
- Vol. 14 (11) , 1347-1365
- https://doi.org/10.1002/fld.1650141106
Abstract
We study numerically the linear water wave equations for shallow channels with rapidly varying bottom topography. We do not use the shallow water approximation because it is not valid when the bottom is rapidly varying. We use the boundary element method because it allows accurate tracking of the surface waves for long times. We present the results of a range of numerical validation experiments and a comparison between propagation over a periodic and a random rough bottom topography.Keywords
This publication has 5 references indexed in Scilit:
- Localization of gravity waves on a channel with a random bottomJournal of Fluid Mechanics, 1988
- Boundary Element TechniquesPublished by Springer Nature ,1984
- Gravity Waves in a Channel with a Rough BottomStudies in Applied Mathematics, 1983
- The boundary element method applied to the analysis of two‐dimensional nonlinear sloshing problemsInternational Journal for Numerical Methods in Engineering, 1981
- Differential equations for long-period gravity waves on fluid of rapidly varying depthJournal of Fluid Mechanics, 1977