Steady-State Solutions of the Euler Equations in Two Dimensions: Rotating and Translating V-States with Limiting Cases. 1. Numerical Algorithms and Results
Abstract
New second- and third-order algorithms are presented for calculating translating and rotating steady-state solutions of the 2D incompressible Euler equations (which we call V-states). These are piecewise constant regions of vorticity and the contours bounding them are obtained by solving iteratively a nonlinear integro-differential 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:
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Journal of Computational Physics
- Pub Date:
- January 1984
- DOI:
- Bibcode:
- 1984JCoPh..53...42W
- Keywords:
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- 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