Accession Number:

AD0602789

Title:

A NUMERICAL EXPERIMENT WITH DISCRETEVORTEX APPROXIMATION, WITH REFERENCE TO THE ROLLING UP OF A VORTEX SHEET,

Descriptive Note:

Corporate Author:

STANFORD UNIV CALIF

Personal Author(s):

Report Date:

1964-05-01

Pagination or Media Count:

26.0

Abstract:

In view of the criticism against the idea of approximating a real vortex sheet by a row of discrete vortices in an inviscid fluid, the rolling up of a vortex sheet studied by Westwater is reexamined. By means of a simple numerical computation, it is shown that strong randomization of the vortices takes place near the tip of the sheet in contrast to Westwaters previous computation. The same approximation is applied also to some other vortex sheets of similar kind. The distribution of vortices becomes irregular in every case and the discrete-vortex approximation does not seem to give a detailed picture of the behavior of the original continuous sheet. The equations of motion of vortices is seen to be unstable with respect to the initial data. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE