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
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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.
@article{EP_1999_7_a22,
author = {P. Luchini and R. Tognaccini},
title = {Comparison of viscous and inviscid numerical simulations of the start-up vortex issuing from a semi-infinite flat plate},
journal = {ESAIM. Proceedings},
pages = {247--257},
year = {1999},
volume = {7},
doi = {10.1051/proc:1999023},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1999023/}
}
TY - JOUR AU - P. Luchini AU - R. Tognaccini TI - Comparison of viscous and inviscid numerical simulations of the start-up vortex issuing from a semi-infinite flat plate JO - ESAIM. Proceedings PY - 1999 SP - 247 EP - 257 VL - 7 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc:1999023/ DO - 10.1051/proc:1999023 LA - en ID - EP_1999_7_a22 ER -
%0 Journal Article %A P. Luchini %A R. Tognaccini %T Comparison of viscous and inviscid numerical simulations of the start-up vortex issuing from a semi-infinite flat plate %J ESAIM. Proceedings %D 1999 %P 247-257 %V 7 %U http://geodesic.mathdoc.fr/articles/10.1051/proc:1999023/ %R 10.1051/proc:1999023 %G en %F EP_1999_7_a22
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
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