Numerical study of wave propagation on vortex filaments (Q1208862)

The author studies the solitary wave propagation along a slender tube- like vortex. Three-dimensional vortex filament method has been used. The author discusses the effect of the choice of the numerical method for solving the time evolution ordinary differential equations on the accuracy of the solution. The influence of other parameters like core size, time tolerance control constant, number of filaments used to simulate a vortex tube, distance between filaments, circulation and the torsion of the initial solitary wave data on the accuracy of vortex filament scheme is also discussed. A lucid presentation of the results of investigation has been given.