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- Author or Editor: V. T. Buchwald x
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Abstract
The scattering of an incident shelf wave by a long thin offshore barrier located parallel to the coast is solved for a general monotonically increasing depth profile, using the unforced, inviscid barotropic shallow water equations under rigid lid and alongshore geostrophy approximation. In particular, simple analytic formulas for the scattering coefficients are derived for the exponential shelf profile. In the channel between the barrier and the coast, much of the incident shelf wave energy is transferred to the zero (or Kelvin) mode. Seaward of the barrier, substantial energy transfer from an incident second-mode shelf wave to the first mode is possible. Downstream from the barrier, the incident mode may vanish, leaving a different mode to dominate.
Abstract
The scattering of an incident shelf wave by a long thin offshore barrier located parallel to the coast is solved for a general monotonically increasing depth profile, using the unforced, inviscid barotropic shallow water equations under rigid lid and alongshore geostrophy approximation. In particular, simple analytic formulas for the scattering coefficients are derived for the exponential shelf profile. In the channel between the barrier and the coast, much of the incident shelf wave energy is transferred to the zero (or Kelvin) mode. Seaward of the barrier, substantial energy transfer from an incident second-mode shelf wave to the first mode is possible. Downstream from the barrier, the incident mode may vanish, leaving a different mode to dominate.
Abstract
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Abstract
Analysis of sea level residuals at ports in the Gulf of Carpentaria reveals resonent oscillations of the Gulf at periods of 10.6 and 16.0 h, which are close to those predicted by a theory of Williams (1972). Further activity at periods of 30–40 h is also present. The evidence suggests that the resonant oscillations may be caused by disturbances in the Indian Ocean and Coral Sea as well as by local meteorological conditions. The analysis also shows considerable residual activity in the ter-diurnal tidal band, this being consistent with the occurrence of resonance and nonlinear tidal interactions in this period range.
Abstract
Analysis of sea level residuals at ports in the Gulf of Carpentaria reveals resonent oscillations of the Gulf at periods of 10.6 and 16.0 h, which are close to those predicted by a theory of Williams (1972). Further activity at periods of 30–40 h is also present. The evidence suggests that the resonant oscillations may be caused by disturbances in the Indian Ocean and Coral Sea as well as by local meteorological conditions. The analysis also shows considerable residual activity in the ter-diurnal tidal band, this being consistent with the occurrence of resonance and nonlinear tidal interactions in this period range.
Abstract
In this note the properties of long-period waves on an interior exponential shelf on an equatorial β-plane are determined. When both the shelf and deep-sea region are in the same hemisphere the wave properties are similar to those of an exponential continental shelf. However, when the shelf and deep-sea regions are in opposite hemispheres a finite number of westward propagating modes may exist for a fixed wavenumber. All westward modes, except the fundamental mode, have a zero group velocity and a long-wave cutoff for trapping. The fundamental approaches the cutoff as the wavenumber decreases. When the shelf straddles the equator westward, eastward propagating modes may exist. In the case of the southern edge of the Melanesian Basin, the relevant resonant frequency at the zero group velocity in the fundamental mode is found to be between 25 and 33 days.
Abstract
In this note the properties of long-period waves on an interior exponential shelf on an equatorial β-plane are determined. When both the shelf and deep-sea region are in the same hemisphere the wave properties are similar to those of an exponential continental shelf. However, when the shelf and deep-sea regions are in opposite hemispheres a finite number of westward propagating modes may exist for a fixed wavenumber. All westward modes, except the fundamental mode, have a zero group velocity and a long-wave cutoff for trapping. The fundamental approaches the cutoff as the wavenumber decreases. When the shelf straddles the equator westward, eastward propagating modes may exist. In the case of the southern edge of the Melanesian Basin, the relevant resonant frequency at the zero group velocity in the fundamental mode is found to be between 25 and 33 days.
