A NUMERICAL EXPERIMENT WITH DISCRETEVORTEX APPROXIMATION, WITH REFERENCE TO THE ROLLING UP OF A VORTEX SHEET,
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 Westwater's 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)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1964
- Accession Number
- AD0602789
Entities
People
- Hideo Takami
Organizations
- Stanford University