Investigations of Equilibria, Lattices, and Chatoic Dynamics of 2-D hamiltonian Point Vortices
Abstract
The aim of the proposed research effort involved theoretical work, both analytic and numerical, on a number of different problems which were all loosely tied together as involving some aspect of vortex systems, and their relation to chaos in fluid flows. Significant results were obtained during this funding period in several major topics. The first topic which was investigated was a continuation of the author's previous work on vortex lattices. Results consisted of the refinement of the analytic expression for the lattice summation of an infinite lattice of point vortices, and use of this expression to calculate the allowed lattice structures of two-component triangular lattice. It was also shown how these expressions can be used to calculate the bulk physical properties of vortex lattices, by calculating the energy of slip displacement for the triangular lattice.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 08, 1990
- Accession Number
- ADA227364
Entities
People
- James B. Kadtke
Organizations
- University of California, San Diego