Abstract
A new self-consistent model of the incompressible Euler equations in two dimensions is presented. The vorticity is assumed to be distributed in well separated disjoint piecewise-constant elliptical finite-area vortex regions (FAVORs) with area . The evolution equations for four variables that describe each FAVOR are derived by truncating a physical-space moment description by omitting terms . ( is the inter-FAVOR centroid distance.) The model is validated by comparing steady-state configurations and dynamical evolutions with contour dynamical results.
- Received 17 February 1984
DOI:https://doi.org/10.1103/PhysRevLett.53.1222
©1984 American Physical Society