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Viscous and inviscid simulations of the start-up vortex

Published online by Cambridge University Press:  17 January 2017

Paolo Luchini  and
Renato Tognaccini
Paolo Luchini
Affiliation:
Dipartimento di Ingegneria Industriale, Università di Salerno, Fisciano (SA), 84084, Italia
Renato Tognaccini*
Affiliation:
Dipartimento di Ingegneria Industriale, Università di Napoli Federico II, Napoli, 80125, Italia
*
†Email address for correspondence: renato.tognaccini@unina.it
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Abstract

Inviscid, unsteady simulations of the roll up of the start-up vortex issuing from a semi-infinite plate are compared with previous simulations of the viscous flow. The inviscid equations were solved by a lumped-vortex method, the two-dimensional, incompressible Navier–Stokes equations in the vorticity–streamfunction formulation modelled the viscous problem. The purpose is to verify whether the irregular behaviour found by the inviscid solution well approximates the unstable evolution of the viscous spiral vortex in the limit of infinitely large time (or equivalently Reynolds number).

JFM classification

Vortex Flows: Vortex Flows Vortex Flows: Vortex shedding

Information

Type
Papers
Information
Journal of Fluid Mechanics , Volume 813 , 25 February 2017 , pp. 53 - 69
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Copyright
© 2017 Cambridge University Press 

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