Influence of topography on tide propagation and amplification in semi-enclosed basins |
| |
| Authors: | Pieter C Roos Henk M Schuttelaars |
| |
| Institution: | (1) Department of Water Engineering and Management, Faculty of Engineering Technology, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands;(2) Department of Applied Mathematical Analysis, Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands |
| |
| Abstract: | An idealized model for tide propagation and amplification in semi-enclosed rectangular basins is presented, accounting for
depth differences by a combination of longitudinal and lateral topographic steps. The basin geometry is formed by several
adjacent compartments of identical width, each having either a uniform depth or two depths separated by a transverse topographic
step. The problem is forced by an incoming Kelvin wave at the open end, while allowing waves to radiate outward. The solution
in each compartment is written as the superposition of (semi)-analytical wave solutions in an infinite channel, individually
satisfying the depth-averaged linear shallow water equations on the f plane, including bottom friction. A collocation technique is employed to satisfy continuity of elevation and flux across
the longitudinal topographic steps between the compartments. The model results show that the tidal wave in shallow parts displays
slower propagation, enhanced dissipation and amplified amplitudes. This reveals a resonance mechanism, occurring when the
length of the shallow end is roughly an odd multiple of the quarter Kelvin wavelength. Alternatively, for sufficiently wide
basins, also Poincaré waves may become resonant. A transverse step implies different wavelengths of the incoming and reflected
Kelvin wave, leading to increased amplitudes in shallow regions and a shift of amphidromic points in the direction of the
deeper part. Including the shallow parts near the basin’s closed end (thus capturing the Kelvin resonance mechanism) is essential
to reproduce semi-diurnal and diurnal tide observations in the Gulf of California, the Adriatic Sea and the Persian Gulf. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
