Recent developments in contour dynamics for the Euler equations
Abstract
The Euler equations of motion and a contour dynamics algorithm are considered, taking into account an expression of the Euler equations in two space dimensions in a vorticitystream function form. Attention is given to stationary vortex states (Vstates) of the Euler equations, the stability of mfold symmetric uniformly rotating Vstates, a 'desingularization' conjecture, the dynamical evolution of stable and unstable elliptical Vstates, and aspects of regularization. The considered regularization algorithm is a twopart procedure for modeling weak dissipation. It is possible to compute realistic motions of isolated piecewiseconstant regions for 'intermediate' times.
 Publication:

Annals of the New York Academy of Sciences
 Pub Date:
 October 1981
 DOI:
 10.1111/j.17496632.1981.tb51141.x
 Bibcode:
 1981NYASA.373..160Z
 Keywords:

 Computational Fluid Dynamics;
 Euler Equations Of Motion;
 Stream Functions (Fluids);
 Two Dimensional Flow;
 Algorithms;
 Contours;
 Energy Dissipation;
 Mathematical Models;
 Vorticity;
 Fluid Mechanics and Heat Transfer