Internal Wave Breaking Depending on Stratification

Abstract

Euler equations for incompressible fluid stratified by a gravity field are investigated. It is found out that the system of Euler equations is not enough for statement of a correct generalized problem. Some auxiliary conditions are offered and justified. A numerical method is developed and applied for study of processes of whirl destruction and mixing in a stratified fluid. The dependence of vortex destruction on a stratification scale is investigated numerically and it is shown that the effect increases with the stratification scale. However, the effect of vortex destruction is absent when the fluid density is constant.