Nonhydrostatic internal waves in the presence of mean currents and rotation
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Date
2024-04-17
Authors
McCarney, Jordan
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AIP Publishing
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Abstract
In this paper we present a new exact solution that represents a Pollard-like, three-dimensional, nonlinear internal wave propagating on a non-uniform zonal current in a nonhydrostatic ocean model. The solution is presented in Lagrangian coordinates, and in the process we derive a dispersion relation for the internal wave which is subjected to a perturbative analysis which reveals the existence of two distinct modes of wave motion.
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Exact and explicit solution , Lagrangian , Geophysical , Internal water waves , Transport properties , Coriolis effects , Wave mechanics , Geodesy , Oceanography , Functions and functionals , Perturbation analysis , Equations of fluid dynamics , Internal waves , Geophysical fluid dynamics
Citation
McCarney, J. (2024) ‘Nonhydrostatic internal waves in the presence of mean currents and rotation’, Journal of Mathematical Physics, 65(4), 043101 (10 pp.). Available at: https://doi.org/10.1063/5.0176160
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© 2024. 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, 65(4), 043101 and may be found at https://doi.org/10.1063/5.0176160