Speaker
Description
The aim of the research is to study the behavior of internal gravity waves and their effects on incompressible flows. Internal gravity waves occur in stratified fluids, which cause the particles to oscillate between the layers with different densities. Gravity waves are an explanation to many natural phenomena, including different atmospheric events.
Our method for the study included perturbing the flow, eliminating the temporal component from the full derivative of the wave number vector and using the adiabatic approach, linearizing the terms. To derive our main equations, we calculated the shear matrix of velocity gradients. Through calculations, we found the connection between the wave number vector components and the velocity vector components, from which we created a variable. This variable allowed us to write our main second order differential equation, which was simplified into an equation without the first order differential term using a specific method and some constant quantities. Solving it analytically posed a challenge and one of the goals of the study is finding ways to do so. A numerical approach can be utilized in order to find a solution for said equations. We aim to apply our findings not only to Earth-related occurrences, but to astrophysical events, as well, such as the differential rotation of many celestial objects.
