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On the propagation of waves in the atmosphere

Lookup NU author(s): Emeritus Professor Robin Johnson

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).

Abstract

© 2021 The Authors.The leading-order equations governing the unsteady dynamics of large-scale atmospheric motions are derived, via a systematic asymptotic approach based on the thin-shell approximation applied to the ellipsoidal model of the Earth's geoid. We present some solutions of this single set of equations that capture properties of specific atmospheric flows, using field data to choose models for the heat sources that drive the motion. In particular, we describe standing-waves solutions, waves propagating towards the Equator, equatorially trapped waves and we discuss the African Easterly Jet/Waves. This work aims to show the benefits of a systematic analysis based on the governing equations of fluid dynamics.

Publication metadata

Author(s): Constantin A, Johnson RS

Publication type: Article

Publication status: Published

Journal: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Year: 2021

Volume: 477

Issue: 2250

Print publication date: 01/06/2021

Online publication date: 02/06/2021

Acceptance date: 04/05/2021

Date deposited: 12/08/2021

ISSN (print): 1364-5021

ISSN (electronic): 1471-2946

Publisher: Royal Society Publishing

URL: https://doi.org/10.1098/rspa.2020.0424

DOI: 10.1098/rspa.2020.0424

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