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Comments on “The Effects of a Jetlike Current on Gravity Waves in Shallow Water”

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  • 1 Coastal and Oceanographic Engineering Department, University of Florida, Gainesville, FL 32611
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Abstract

Matching conditions used by Mei and Lo to study wave scattering at a vertical vortex sheet in the shallow water (long wave) limit are seen to be incorrect and, as a result, wave action is not conserved during scattering by a single vortex sheet. Here, we establish the correct kinematic condition for the more general case of a step discontinuity in depth as well as current, and modify Mei and Lo's results accordingly.

Abstract

Matching conditions used by Mei and Lo to study wave scattering at a vertical vortex sheet in the shallow water (long wave) limit are seen to be incorrect and, as a result, wave action is not conserved during scattering by a single vortex sheet. Here, we establish the correct kinematic condition for the more general case of a step discontinuity in depth as well as current, and modify Mei and Lo's results accordingly.

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