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Issue ESAIM: Proc.
Volume 7, 1999
Third International Workshop on Vortex Flows and Related Numerical Methods
Page(s) 247 - 257
DOI http://dx.doi.org/10.1051/proc:1999023

ESAIM: Proc., 1999, Vol. 7, pp. 247-257
DOI: 10.1051/proc:1999023

Comparison of viscous and inviscid numerical simulations of the start-up vortex issuing from a semi-infinite flat plate

P. Luchini1 and R. Tognaccini2

1  Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, Italia
2  Dipartimento di Progettazione Aeronautica, Universita` di Napoli "Federico II", Italia


Abstract
Subject of the present work is the start-up vortex issuing from a sharp trailing edge accelerated from rest in still air. A numerical simulation of the flow has been performed in case of a semi-infinite flat plate by solving the Navier-Stokes equations in the Psi-Omega formulation. The new numerical algorithm is based on a fast multigrid implicit integration of the difference equations in an unstructured mesh that is dynamically built to minimize the computational costs. The results, compared with inviscid lumped-vortex simulations, show the appearance of instabilities that quickly destroy the regular structure of the spiral vortex. This analysis gives a contribution to the understanding of a physical problem still discussed in the literature and raises the question whether the application of numerical regularization procedures can tend to stabilize a phenomenon even when its physical nature is unstable.



© EDP Sciences, ESAIM 1999

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