Accession Number:

ADA151278

Title:

Vortex Dynamics.

Descriptive Note:

Final rept. 1 Mar 82-30 Sep 84,

Corporate Author:

PITTSBURGH UNIV PA DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s):

• Zabusky,N. J.

Report Date:

1984-12-15

Pagination or Media Count:

9.0

Abstract:

New algorithmic, mathematical and simulation results for the 2D Euler equations have been obtained. The contour dynamical algorithm for piecewise-constant vorticity regions FAVORs has been improved and applied to finding accurate steady-state V-states and dynamical evolutions. The boundary of only one region and at which the tangent angle is discontinuous then the difference in tangent angles can be only by 90 degrees a corner or 180 degrees a cusp. The analytical behavior of doubly and triply connected rotating V-states is also investigated. Keywords includes Vortex dynamics Euler equations in 2D V-states Contour dynamics Computational synergetics Axisymmetrization Modulated vortices for beta planes.

Descriptors:

• *VORTICES
• MATHEMATICAL MODELS
• ALGORITHMS
• STEADY STATE
• EQUATIONS OF MOTION
• DYNAMICS
• TWO DIMENSIONAL
• BOUNDARIES
• AXISYMMETRIC
• EVOLUTION(GENERAL)
• TANGENTS
• MODULATION
• ROTATION
• SYNERGISM
• CONTOURS

Subject Categories:

• Theoretical Mathematics
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE