Fundamental problems of modeling the dynamics of internal gravity waves with applications to the Arctic Basin

TL;DR

This paper develops analytical and numerical models to study internal gravity waves in the Arctic Basin, highlighting their significant impact on underwater objects and incorporating real physical parameters of the ocean environment.

Contribution

It introduces new mathematical models and algorithms specifically tailored for the Arctic Basin's internal gravity wave dynamics, considering physical characteristics like water properties and seafloor topography.

Findings

Internal gravity waves significantly affect underwater objects in the Arctic Basin.

The models accurately describe wave behavior using real ocean parameters.

Numerical and analytical methods align in predicting wave dynamics.

Abstract

In this paper, we consider fundamental problems of the dynamics of internal gravity waves. We present analytical and numerical algorithms for calculating the wave fields for a set of values of the parameters, as observed in the ocean. We show that our mathematical models can describe the wave dynamics of the Arctic Basin, taking into account the actual physical characteristics of sea water, topography of its floor, etc. The numerical and analytical results show that the internal gravity waves have a significant effect on underwater sea objects in the Arctic Basin.