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Far Fields of Internal Gravity Waves under Fast Density Variation in a Radial Symmetry Source

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Abstract

The problem of the far field of internal gravity waves (IGWs) from the instantaneous radially symmetric isopycnal elevation is solved. The 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. Using the stationary phase method, asymptotics of the solutions are obtained describing the spacetime characteristics of the isopycnal elevation and of the vertical and horizontal velocity components. The exact and asymptotic results are compared. It is shown that, for times on the order of several tens of Brent–Väisälä periods, the stationary phase method allows one to efficiently calculate far wave fields.

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Funding

This work was financially supported by the Russian Foundation for Basic Research, project no. 20-01-00111A.

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, 119526, Moscow, Russia

    V. V. Bulatov & Yu. V. Vladimirov

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  1. V. V. Bulatov
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  2. Yu. V. Vladimirov
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Correspondence to V. V. Bulatov or Yu. V. Vladimirov.

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Bulatov, V.V., Vladimirov, Y.V. Far Fields of Internal Gravity Waves under Fast Density Variation in a Radial Symmetry Source. Izv. Atmos. Ocean. Phys. 57, 614–618 (2021). https://doi.org/10.1134/S0001433821050029

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  • DOI: https://doi.org/10.1134/S0001433821050029

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