Exact Solutions Modelling Nonlinear Atmospheric Gravity Waves

David Henry

doi:10.1007/s00021-023-00842-3

Exact Solutions Modelling Nonlinear Atmospheric Gravity Waves

David Henry

School of Mathematical Sciences

University of Vienna

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	6
Journal	Journal of Mathematical Fluid Mechanics
Volume	26
Issue number	1
DOIs	https://doi.org/10.1007/s00021-023-00842-3
Publication status	Published - Feb 2024

Keywords

Atmospheric waves
Exact solution
Mountain waves

Access to Document

10.1007/s00021-023-00842-3

Cite this

@article{fe4fbee2147843978a48ed14a7e80f17,

title = "Exact Solutions Modelling Nonlinear Atmospheric Gravity Waves",

abstract = "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.",

keywords = "Atmospheric waves, Exact solution, Mountain waves",

author = "David Henry",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s).",

year = "2024",

month = feb,

doi = "10.1007/s00021-023-00842-3",

language = "English",

volume = "26",

journal = "Journal of Mathematical Fluid Mechanics",

issn = "1422-6928",

publisher = "Birkhauser Verlag Basel",

number = "1",

}

TY - JOUR

T1 - Exact Solutions Modelling Nonlinear Atmospheric Gravity Waves

AU - Henry, David

PY - 2024/2

Y1 - 2024/2

N2 - 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.

AB - 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.

KW - Atmospheric waves

KW - Exact solution

KW - Mountain waves

UR - https://www.scopus.com/pages/publications/85180134363

U2 - 10.1007/s00021-023-00842-3

DO - 10.1007/s00021-023-00842-3

M3 - Article

AN - SCOPUS:85180134363

SN - 1422-6928

VL - 26

JO - Journal of Mathematical Fluid Mechanics

JF - Journal of Mathematical Fluid Mechanics

IS - 1

M1 - 6

ER -

Exact Solutions Modelling Nonlinear Atmospheric Gravity Waves

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this