Internal gravity waves from a moving source: modeling and asymptotics

Abstract

In this paper we investigated the far internal gravity waves fields excited by a source of disturbances, moving in an infinite vertically stratified medium. The propagation of waves in an inviscid incompressible medium with an exponential distribution of unperturbed density is considered. In the linear approximation and the Boussinesq approximation, uniform asymptotics of the excited internal gravity waves fields were constructed far from the moving source of perturbations. Wave fields in the vicinity of the traverse plane and the horizon of motion are investigated. The obtained asymptotic solutions make it possible to effectively calculate the main amplitude-phase characteristics of the excited far internal gravity waves fields of under certain generation regimes. Analytical solutions allow to qualitatively analyze the solutions obtained. This is important for the correct formulation of more complex mathematical models of the wave dynamics of real natural stratified medium.