Higher–order Boussinesq–type equations for surface gravity waves: derivation and analysis
Open Access
- 15 December 1998
- journal article
- Published by The Royal Society in Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Vol. 356 (1749) , 3123-3181
- https://doi.org/10.1098/rsta.1998.0309
Abstract
Boussinesq–type equations of higher order in dispersion as well as in nonlinearity are derived for waves (and wave–current interaction) over an uneven bottom. Formulations are given in terms of various velocity variables such as the depth–averaged velocity and the particle velocity at the still water level, and at an arbitrary vertical location. The equations are enhanced and analysed with emphasis on linear dispersion, shoaling and nonlinear properties for large wave numbers.Keywords
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