Exact Solutions Modelling Nonlinear Atmospheric Gravity Waves

Exact solutions to the governing equations for atmospheric motion are derived which model nonlinear gravity wave propagation superimposed on atmospheric currents. Solutions are explicitly prescribed in terms of a Lagrangian formulation, which enables a detailed exposition of intricate flow character...

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Bibliographic Details
Published inJournal of mathematical fluid mechanics Vol. 26; no. 1; p. 6
Main Author Henry, David
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.02.2024
Springer Nature B.V
Subjects
Atmospheric models
Classical and Continuum Physics
Exact solutions
Flow characteristics
Fluid mechanics
Fluid- and Aerodynamics
Gravity waves
Lee waves
Mathematical Methods in Physics
Mountains
Physics
Physics and Astronomy
Theoretical mathematics
Wave propagation
76U60
Mountain waves
35Q86
86A10
Atmospheric waves
Exact solution
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Summary:Exact solutions to the governing equations for atmospheric motion are derived which model nonlinear gravity wave propagation superimposed on atmospheric currents. Solutions are explicitly prescribed in terms of a Lagrangian formulation, which enables a detailed exposition of intricate flow characteristics. It is shown that our solutions are well-suited to modelling two distinct forms of mountain waves, namely: trapped lee waves in the Equatorial f -plane, and vertically propagating mountain waves at general latitudes.
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Communicated by A. Constantin.
ISSN:1422-6928
1422-6952
1422-6952
DOI:10.1007/s00021-023-00842-3