Far Fields Asymptotics of Internal Gravity Waves from a Pulse Localized Source in a Rotating Stratified Medium

IF 1 4区工程技术 Q4 MECHANICS

Fluid Dynamics Pub Date : 2024-01-27 DOI:10.1134/s0015462823602152

V. V. Bulatov, I. Yu. Vladimirov

引用次数: 0

Abstract

The problem of constructing asymptotics of the internal gravity waves far fields arising from an pulsed localized source of perturbations in a stratified fluid of finite depth rotating as a whole is solved. In the approximation of constancy of the buoyancy frequency, uniform and nonuniform asymptotics of solutions are constructed to describe far wave fields, which are expressed in terms of the Airy function and its derivative. The exact and asymptotic results are compared, and it is shown that at times longer than several buoyancy periods and at distances on the order of the liquid-layer thickness, the obtained asymptotics allow one to describe the amplitude–phase structure of far wave fields.

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旋转分层介质中脉冲局部源内部引力波的远场渐近学

摘要解决了在整体旋转的有限深度分层流体中，由脉冲局部扰动源产生的内部重力波远场的渐近线构造问题。在浮力频率恒定的近似条件下，构建了描述远波场的均匀和非均匀渐近解，远波场用艾里函数及其导数表示。对精确结果和渐近结果进行了比较，结果表明，在时间长于几个浮力周期和距离与液层厚度相当的情况下，所获得的渐近方法可以描述远波场的幅相结构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Fluid Dynamics MECHANICS-PHYSICS, FLUIDS & PLASMAS

CiteScore

1.30

自引率

22.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Fluid Dynamics is an international peer reviewed journal that publishes theoretical, computational, and experimental research on aeromechanics, hydrodynamics, plasma dynamics, underground hydrodynamics, and biomechanics of continuous media. Special attention is given to new trends developing at the leading edge of science, such as theory and application of multi-phase flows, chemically reactive flows, liquid and gas flows in electromagnetic fields, new hydrodynamical methods of increasing oil output, new approaches to the description of turbulent flows, etc.

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