Mathematical simulation of gas dynamic flows accompanying the Bora winds

Abstract

The local emergence of the Bora winds in the bay of Novorossiysk is researched. A mathematical model based on two-dimensional gas dynamic Euler equations taking gravity into account is presented. The motion of the air front through a coastal ridge with the subsequent emergence of a turbulent flow over the sea surface is simulated. The effects of the temperature, diagram and value of inflowing air velocity, as well as gravitation, are studied. It is shown that the Kelvin-Helmholtz instability that arises and develops in the shear flow leads to hurricane wind blasts over the sea surface and to possible catastrophic consequences on shore.