Point Process Analysis of Vortices in a Periodic Box

Physics – Fluid Dynamics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

7 pages, 14 figures, submitted to Proceedings of NCTAM Japan, Theoretical and Applied Mechanics Japan, Vol. 56 (2007)

Scientific paper

The motion of assemblies of point vortices in a periodic parallelogram can be described by the complex position $z_j(t)$ whose time derivative is given by the sum of the complex velocities induced by other vortices and the solid rotation centered at $z_j$. A numerical simulation up to 100 vortices in a square periodic box is performed with various initial conditions, including single and double rows, uniform spacing, checkered pattern, and complete spatial randomness. Point process theory in spatial ecology is applied in order to quantify clustering of the distribution of vortices. In many cases, clustering of the distribution persists after a long time if the initial condition is clustered. In the case of positive and negative vortices with the same absolute value of strength, the $L$ function becomes positive for both types of vortices. Scattering or recoupling of pairs of vortices by a third vortex is remarkable.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Point Process Analysis of Vortices in a Periodic Box does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Point Process Analysis of Vortices in a Periodic Box, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Point Process Analysis of Vortices in a Periodic Box will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-441939

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.