Geodesic
Comparison of viscous and inviscid numerical simulations of the start-up vortex issuing from a semi-infinite flat plate
P. Luchini1 ; R. Tognaccini2
1 Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, Italia
2 Dipartimento di Progettazione Aeronautica, Universita` di Napoli "Federico II", Italia
ESAIM. Proceedings, Tome 7 (1999), pp. 247-257.

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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.
DOI : 10.1051/proc:1999023

P. Luchini 1 ; R. Tognaccini 2

1 Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, Italia
2 Dipartimento di Progettazione Aeronautica, Universita` di Napoli "Federico II", Italia 
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     title = {Comparison of viscous and inviscid numerical simulations of the start-up vortex issuing from a semi-infinite flat plate},
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P. Luchini; R. Tognaccini. Comparison of viscous and inviscid numerical simulations of the start-up vortex issuing from a semi-infinite flat plate. ESAIM. Proceedings, Tome 7 (1999), pp. 247-257. doi : 10.1051/proc:1999023. http://geodesic.mathdoc.fr/articles/10.1051/proc:1999023/

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