Exact Solutions Modelling Nonlinear Atmospheric Gravity Waves
David Henry
Abstract
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.
Topics & Concepts
Nonlinear systemGravitational waveGravity wavePhysicsAtmospheric waveAtmospheric dynamicsMathematical analysisClassical mechanicsGeophysicsMeteorologyMechanicsMathematicsAtmosphere (unit)AstrophysicsQuantum mechanicsMeteorological Phenomena and SimulationsIonosphere and magnetosphere dynamicsOcean Waves and Remote Sensing