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Steady-state solutions of the euler equations in two dimensions: Rotating and translatingV-states with limiting cases. I. Numerical algorithms and results

Authors
Journal
Journal of Computational Physics
0021-9991
Publisher
Elsevier
Publication Date
Volume
53
Issue
1
Identifiers
DOI: 10.1016/0021-9991(84)90051-2
Disciplines
  • Computer Science
  • Mathematics

Abstract

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.

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