Non-local boundary conditions and internal gravity wave generation

TL;DR

This paper develops non-local boundary conditions to model the generation and propagation of internal gravity waves in stratified media, based on assumptions of linearity and absence of external disturbances.

Contribution

It introduces a new mathematical approach for boundary conditions that accurately describe diverging internal gravity waves in stratified environments.

Findings

Boundary conditions effectively model internal gravity wave divergence.

The approach relies on linear theory applicability at large distances.

Assumes no external wave sources outside the mixing zone.

Abstract

This work focuses on the mathematical modeling of wave dynamics in a stratified medium. Non-local absorbing boundary conditions are considered based on the two following assumptions: (i) a linear theory can be applied at large distances from perturbation sources; and (ii) there are no other sources of wave disturbance outside the mixing zone in the stratified medium. The boundary conditions considered in this paper allowed us to describe the diverging internal gravity waves generated by the mixing region in a stratified medium.