Abstract
Variations in shelf geometry mean that a coastal trapped wave mode can propagate within some finite length of shelf but be evanescent outside this region. This paper constructs such geographically localised coastal trapped waves using a WKBJ approximation. Comparison with full numerical solutions of the non-linear differential eigenvalue problem demonstrates that the approximation is extremely accurate. The asymptotic and full numerical models are then used to examine the parameters and geometries that govern the existence of these modes.
Highlights
Sub-inertial disturbances confined over stratified continental shelves are generally described as coastal trapped waves (CTWs)
The properties of CTWs are closely related to a merging of the internal Kelvin wave and barotropic continental shelf wave limits, and the waves can typically be regarded as a hybrid of the two
As CTWs propagate along shelves with slow longshore variations in bottom topography or coastline curvature it is the local structure of the waves that determine the existence of ‘CTWs
Summary
Sub-inertial disturbances confined over stratified continental shelves are generally described as coastal trapped waves (CTWs). In practice there may be significant longshore variations in shelf depth profiles and coastline curvature These longshore variations can give rise to regions of localised wave propagation with modes decaying outside these regions in both the longshore and offshore directions. These localised disturbances will be denoted here as localised CTWs ð‘CTWsÞ.
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