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Hyperviscous vortices

Published online by Cambridge University Press:  26 April 2006

Javier Jiménez
Javier Jiménez
Affiliation:
School of Aeronautics, Pl. Cardenal Cisneros 3, 28040 Madrid, Spain
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Abstract

The structure of diffusing planar and axisymmetric vortices of the hyperviscous Navier-Stokes equations is studied for different orders of the dissipative operator. It is found that, except for the classical Newtonian case, the vorticity decays at large distances by means of oscillatory tails, containing circulation of alternating signs. This oscillation becomes stronger for large hyperviscosity orders, and the limit of infinite order is studied. It is argued that these solutions would become unstable for large enough Reynolds numbers, and may contribute non-trivial spurious dynamics to flow simulations using hyperviscosity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 279 , 25 November 1994 , pp. 169 - 176
Copyright
© 1994 Cambridge University Press

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