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The Effects of a Variable Coriolis Parameter, Coastline Curvature and Variable Bottom Topography on Continental Shelf Waves
Publisher: American Meteorological Society
Abstract: The effects of a variable Coriolis parameter, coastline curvature and variable bottom topography on continental shelf waves are examined for the case when the variations occur on a length scale much greater than the shelf ...
An Exact Finite-Amplitude Wave on a Helmholtz Velocity Profile in an Infinite Boussinesq Fluid
Publisher: American Meteorological Society
Abstract: For the Helmholtz velocity profile shown in Fig. 1, it is shown that the interface can support an exact steady finite-amplitude wave which radiates internal gravity waves away from the interface.
Nonlinear Internal Gravity Waves and Their Interaction with the Mean Wind
Publisher: American Meteorological Society
Abstract: The interaction of a, wave packet of internal gravity waves with the mean wind is investigated, for the when there is a region of wind shear and also a critical level. The principal equations are the Doppler-shifted ...
Resonant Forcing of Barotropic Coastally Trapped Waves
Publisher: American Meteorological Society
Abstract: The interaction of a longshore current with a longshore topographic feature is investigated in the barotropic case. It is shown that near resonance, when a long-wave speed is close to zero (in a fixed reference frame), ...
Large-Scale, Low-Frequency Response on the Continental Shelf Due to Localized Atmospheric Forcing Systems
Publisher: American Meteorological Society
Abstract: The first-order wave equation model of Gill and Schumann, which describes the flow induced on the continental shelf by the longshore wind stress, evaluated at the coast, is extended in three ways. First, we relax the ...
The Effect of a Mean Current on Kelvin Waves
Publisher: American Meteorological Society
Abstract: The effect of a mean current on Kelvin waves is considered, including the case when the current is not in geostrophic balance. Because the problem is non-separable, a perturbation scheme is developed for weak shear from ...
Evolution of a Potential Vorticity Front over a Topographic Slope
Publisher: American Meteorological Society
Abstract: Using the methodology of contour dynamics, the evolution of an interface separating two regions of constant potential vorticity is considered. The model equations are those for barotropic nondivergent flow over a topographic ...
Barotropic Continental Shelf Waves on a β-Plane
Publisher: American Meteorological Society
Abstract: In this paper we consider the effect of the variation of the Coriolis parameter with latitude on barotropic shelf waves, using a ?-plane model. Solutions are constructed using the method of inner and outer asymptotic ...
Continental Shelf Wave Scattering by a Rigid Barrier Normal to the Coast
Publisher: American Meteorological Society
Abstract: In this paper we consider the scattering of continental shelf waves by a rigid barrier, within the context of the nondivergent, barotropic approximation. An incident wave mode encounters a rigid barrier, normal to the ...
Finite-Amplitude Long Waves on Coastal Currents
Publisher: American Meteorological Society
Abstract: Two models of coastal currents are described that allow fully nonlinear wavelike solutions for the limit of long waves. The first model is an adaptation of a model used by Yi and Warn for finite-amplitude ?plane Rossby ...
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