1Laboratoire de mécanique de Lille URA CNRS 1441 Bd. Paul Langevin 59650 Villeneuve d'Ascq, France 2Laboratoire de modélisation en mécanique des fluides de Toulouse 118 route de Narbonne 33602 Toulouse, France
ESAIM. Proceedings, Tome 1 (1996), pp. 521-538
Cet article a éte moissonné depuis la source EDP Sciences
Vortex methods rely principally on a discretization of the continuous two-dimensional time dependent vorticity field into a large number of vortex "blobs", whose position and strength determine the underlying velocity field. In this paper, the convergence of the random vortex method (RVM) for a complex flow is studied in function of three discretization parameters. Two of these parameters are related to the spatial discretization of the vorticity, i.e. G(sheet or blob strength) and h (sheet length or core radius of a blob) and the third one to the discretization of time, ?t i.e. . Two principal events are observed. First, the computation works but the convergence is not attained. Second, the computation fails. The first behaviour is attributed to a lack of accuracy while the second is attributed to a lack of numerical stability. Once the stability conditions are satisfied, decreasing the value of the parameters always leads to convergence.
1
Laboratoire de mécanique de Lille URA CNRS 1441 Bd. Paul Langevin 59650 Villeneuve d'Ascq, France
2
Laboratoire de modélisation en mécanique des fluides de Toulouse 118 route de Narbonne 33602 Toulouse, France
@article{EP_1996_1_a35,
author = {I. Mortazavi and P. Micheau and A. Giovannini},
title = {Numerical convergence of the random vortex method for complex flows},
journal = {ESAIM. Proceedings},
pages = {521--538},
year = {1996},
volume = {1},
doi = {10.1051/proc:1996021},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1996021/}
}
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AU - P. Micheau
AU - A. Giovannini
TI - Numerical convergence of the random vortex method for complex flows
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PY - 1996
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EP - 538
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UR - http://geodesic.mathdoc.fr/articles/10.1051/proc:1996021/
DO - 10.1051/proc:1996021
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%A A. Giovannini
%T Numerical convergence of the random vortex method for complex flows
%J ESAIM. Proceedings
%D 1996
%P 521-538
%V 1
%U http://geodesic.mathdoc.fr/articles/10.1051/proc:1996021/
%R 10.1051/proc:1996021
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%F EP_1996_1_a35
I. Mortazavi; P. Micheau; A. Giovannini. Numerical convergence of the random vortex method for complex flows. ESAIM. Proceedings, Tome 1 (1996), pp. 521-538. doi: 10.1051/proc:1996021
