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Issue ESAIM: Proc.
Volume 7, 1999
Third International Workshop on Vortex Flows and Related Numerical Methods
Page(s) 80 - 93
DOI http://dx.doi.org/10.1051/proc:1999008

ESAIM: Proc., 1999, Vol. 7, pp. 80-93
DOI: 10.1051/proc:1999008

A new approach to the particle-in-cell method for the computation of three-dimensional incompressible unsteady flows

F. Buron1 and L. Pérault2

1  Laboratoire d'Etudes Aérodynamiques de l'université de Poitiers UMR CNRS 6609 Ecole Nationale Supérieure de Mécanique et d'Aérotechnique 86960 Futuroscope Cedex, France
2  Laboratoire d'Etudes Aérodynamiques de l'université de Poitiers UMR CNRS 6609 Ecole Nationale Supérieure de Mécanique et d'Aérotechnique 86960 Futuroscope Cedex, France


Abstract
A hybrid three-dimensional particle-in-cell (PIC) method is proposed. This 3D PIC technique combined with a classical three-dimensional vortex particle method is applied to the calculation of unsteady inviscid and incompressible flow. More precisely the wake roll-up behind an inclined flat plate is studied. A spreading procedure of the vorticity, a direct interaction between nodes of the grid and a mesh generated from the plate discretization present a few undesirable grid effects, but ensure a continuous application of the slip condition to the plate. In this way the total circulation is nearly conserved and, in the case of a separated flow at high angle of attack, the particles are prevented from crossing the wing. Numerical results are compared with experiment for several angles of attack and aspect ratios.



© EDP Sciences, ESAIM 1999


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