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

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...

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Bibliographic Details
Published inJournal of computational physics Vol. 53; no. 1; pp. 42 - 71
Main Authors Wu, H.M, Overman, E.A, Zabusky, N.J
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 1984
Elsevier
Subjects
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
General theory
Physics
Euler equation
Incompressible fluid
Two dimensional flow
Flow(fluid)
Calculating method
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0021-9991
1090-2716
DOI:10.1016/0021-9991(84)90051-2