Exact internal waves in the presence of mean currents and rotation
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Date
2023-07-18
Authors
McCarney, Jordan
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AIP Publishing
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Abstract
We construct a new exact solution that represents a Pollard-like, three-dimensional, nonlinear internal wave propagating on a uniform zonal current in the presence of the Earth’s rotation. The solution is presented in Lagrangian coordinates, and in the process, we derive a dispersion relation for the internal waves in a stably stratified ocean. We show that the presence of a mean zonal current produces an intrinsically nonlinear mode of wave motion, representing a slow, inertial, internal wave.
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Keywords
Exact and explicit solution , Lagrangian , Geophysical , Internal water waves , Coriolis effects , Oceanography , Internal waves , Gravity wave , Geophysical fluid dynamics
Citation
McCarney, J. (2023) ‘Exact internal waves in the presence of mean currents and rotation’, Journal of Mathematical Physics, 64(7), 073101 (11 pp). https://doi.org/10.1063/5.0155193
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© 2023 Author(s). Published under an exclusive license by AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Journal of Mathematical Physics and may be found at https://doi.org/10.1063/5.0155193