Abstract

Abstract A theory is presented for linear island-trapped waves around a circular island with stratification and bottom relief. The free waves propagate clockwise in the northern hemisphere and are quantized azimuthally and in the radial–vertical plane. A formalism is derived for low frequency (subinertial frequency) motions forced either by winds or by ambient oceanic motions. The present model results appear to reproduce four observed (from moored array data) resonances to within less than 9% in frequency. Observations and results of the wind-forced theory suggest that subinertial sea level fluctuations off Bermuda are driven by ambient oceanic fluctuations. As long as the oceanic motions have scales large relative to the island, they ought to appear in island coastal sea level records without distortion.

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