Direct and Inverse Problems of the Dynamics of Surface Waves Caused by the Flow Around an Underwater Obstacle

This paper presents the algorithms and results of calculations of the dynamics of a surface layer of a fluid under the action of currents that have emerged from a depth. Several approaches to model the velocity field in a horizontal flow round a fixed underwater obstacle are investigated. Formulas for calculating the velocity field on the free surface of an ideal homogeneous fluid are proposed. A computer program is developed that makes it possible to simulate the interaction of a stratified fluid flow with an underwater obstacle. The possibility of using asymptotic formulas for the far-field approximation to calculate the velocity field in a uniformly stratified fluid is studied.