Abstract
The paper solves the problem of constructing uniform asymptotics of the distant fields of internal gravitational waves from the initial perturbation of lines of equal density of radial symmetry. A constant model distribution of the buoyancy frequency is considered and an analytical solution of the problem in the form of a sum of wave modes is obtained using the Fourier-Hankel transform. Uniform asymptotics of solutions describing the spatio-temporal characteristics of the elevation of isopicns (lines of equal density), vertical and horizontal (radial) velocity components are obtained. The asymptotics of a separate wave mode of the main components of the wave field are expressed in terms of the square of the Airy function and its derivatives. The exact and asymptotic results are compared, and it is shown that at times of the order of ten or more periods of buoyancy, equal-dimensional asymptotics make it possible to efficiently calculate long-range wave fields.
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Acknowledgements
The work is carried out with financial support from the Russian Foundation for Basic Research, project 20-01-00111A.
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Bulatov, V.V. (2022). Far Internal Gravity Waves Fields from Radially Symmetric Perturbation. In: Karev, V.I. (eds) Physical and Mathematical Modeling of Earth and Environment Processes. Springer Proceedings in Earth and Environmental Sciences. Springer, Cham. https://doi.org/10.1007/978-3-030-99504-1_6
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DOI: https://doi.org/10.1007/978-3-030-99504-1_6
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