SteadyState Solutions of the Euler Equations in Two Dimensions: Rotating and Translating VStates with Limiting Cases. 1. Numerical Algorithms and Results
Abstract
New second and thirdorder algorithms are presented for calculating translating and rotating steadystate solutions of the 2D incompressible Euler equations (which we call Vstates). These are piecewise constant regions of vorticity and the contours bounding them are obtained by solving iteratively a nonlinear integrodifferential equation. New limiting contours with corners are obtained and compared with local analytical solutions. The precise results correct mistakes for limiting contours that were previously given.
 Publication:

Journal of Computational Physics
 Pub Date:
 January 1984
 DOI:
 10.1016/00219991(84)900512
 Bibcode:
 1984JCoPh..53...42W
 Keywords:

 Computational Fluid Dynamics;
 Euler Equations Of Motion;
 Flow Equations;
 Two Dimensional Flow;
 Algorithms;
 Differential Equations;
 Integral Equations;
 Iterative Solution;
 Nonlinear Equations;
 Steady State;
 Fluid Mechanics and Heat Transfer