NUMERICAL MODELING OF GRAVITATIONAL
WAVES IN THE OCEAN BY THE DOUBLE-LAYER
POTENTIAL METHOD

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

UDC 532.59

The problem of wave structure formation on a water 
surface for a prescribed initial disturbance is considered. A method 
of modeling gravitational waves is suggested in which the velocity 
potential of the liquid is sought in the form of a double-layer potential. 
The method suggested is tested by solving the problem of wave propagation 
on shallow water. Calculations of formation of a wave train from the 
initial disturbance are made in the case of periodic motion in a
two-dimensional model (the problem of Stokes waves). The results of
the calculations have demonstrated the high effectiveness of the suggested
method in solving problems in which it is necessary to determine a wave
profile with good accuracy.

JEPTER74920199917
JEPTER7492017