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 vorticity-stream function form. Attention is given to stationary vortex states (V-states) of the Euler equations, the stability of m-fold symmetric uniformly rotating V-states, a 'desingularization' conjecture, the dynamical evolution of stable and unstable elliptical V-states, and aspects of regularization. The considered regularization algorithm is a two-part procedure for modeling weak dissipation. It is possible to compute realistic motions of isolated piecewise-constant regions for 'intermediate' times.
- Publication:
-
Annals of the New York Academy of Sciences
- Pub Date:
- October 1981
- DOI:
- 10.1111/j.1749-6632.1981.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