Henry D. Exact Solutions Modelling Nonlinear Atmospheric Gravity Waves.
JOURNAL OF MATHEMATICAL FLUID MECHANICS : JMFM 2023;
26:6. [PMID:
38144908 PMCID:
PMC10733203 DOI:
10.1007/s00021-023-00842-3]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Accepted: 11/16/2023] [Indexed: 12/26/2023]
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.
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