Mathematical modeling of the generation of topographic internal waves by nonstationary currents

Abstract

In the linear statement, within the framework of long-wave approximation, we develop a mathematical model for the numerical analysis of the fields of internal waves generated by a local unevenness of the bottom in a nonstationary spatially homogeneous flow. For the corresponding problem, we obtain the solution suitable for numerical calculations. We study the effects connected with periodic changes in the direction of currents and analyze the horizontal distribution of amplitudes for a single internal mode and the dependence of this distribution on the Coriolis parameter.