Vortex Dynamics.

Abstract

New algorithmic, mathematical and simulation results for the 2D Euler equations have been obtained. The contour dynamical algorithm for piecewise-constant vorticity regions (FAVOR's) 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.

Document Details

Document Type
Technical Report
Publication Date
Dec 15, 1984
Accession Number
ADA151278

Entities

People

  • N. J. Zabusky

Organizations

  • University of Pittsburgh

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Dynamics
  • Equations
  • Euler Equations
  • Mathematics
  • Personal Information Managers
  • Steady State

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.
  • Graph Algorithms and Convex Optimization.