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WENTZEL–KRAMERS–BRILLOUIN SOLUTIONS TO AN EQUATION OF INTERNAL GRAVITY WAVES IN A STRATIFIED MEDIUM WITH SLOWLY VARYING SHEAR FLOWS

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Abstract

Model buoyancy frequency distribution and the Wentzel–Kramers–Brillouin method are used to obtain an asymptotic solution to a problem of constructing solutions that describe internal gravity waves in a stratified medium with a background shear flow slowly varying in depth. Dispersion relation asymptotics are expressed in terms of the Airy functions. Asymptotics for various model distributions of background shear flows are used to obtain analytical representations of dispersion relations and eigenfunctions. Exact and asymptotic results are compared for various distributions of background shear flows and generation modes typical of a real ocean.

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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

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

Additional information

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Vol. 63, No. 3, pp. 25-33. https://doi.org/10.15372/PMTF20220303.

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Bulatov, V.V., Vladimirov, Y.V. WENTZEL–KRAMERS–BRILLOUIN SOLUTIONS TO AN EQUATION OF INTERNAL GRAVITY WAVES IN A STRATIFIED MEDIUM WITH SLOWLY VARYING SHEAR FLOWS. J Appl Mech Tech Phy 63, 392–399 (2022). https://doi.org/10.1134/S0021894422030038

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  • DOI: https://doi.org/10.1134/S0021894422030038

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