Modeling of cylindrically symmetric wave structures in the ocean

Abstract

The problem of formation of a wave train from an axisymmetric initial disturbance caused by the fall of a celestrial body into water is solved by the method of the potential of a double layer. The main difficulty in the solution of the problem consists in calculation of two-dimensional integrals in a cylindrical system of coordinates to find the velocity potential. An algorithm that allows one to reduce calculation of two-dimensional integrals to calculation of integrals of a special form that depend on one parameter is suggested. Use of the algorithm substantially improved the efficiency of the computer program. An analysis of the results of calculation showed that two regions — of shortwave disturbances and of longwave flow — exist at the stage of formation of the wave structure from the initial disturbance.