MODELING OF CYLINDRICALLY SYMMETRIC
WAVE STRUCTURES IN THE OCEAN

N. A. Kudryashov , A. A. Matveev , and
Yu. I. Syts'ko

UDC 532.59

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.

JEPTER74920199917
JEPTER7492017