Geodesic
Vortex particles and tree codes: I. flows with arbitrary crossing between solid boundaries and particle redistribution lattice; II. vortex ring encountering a plane at an angle.
P. Ploumhans1 ; G. S. Winckelmans1 ; J. K. Salmon1
1 Center for Systems Engineering and Applied Mechanics, Unité TERM, Place du Levant 2, Université catholique de Louvain, Louvain-la-Neuve 1348, Belgium Center for Advanced Computing Research, California Institute of Technology, Pasadena, CA 91125, USA
ESAIM. Proceedings, Tome 7 (1999), pp. 335-348.

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The first part of the paper deals with 2-D vortex methods. We briefly review the numerical method and we extensively describe two points in more details: the redistribution around an arbitrary body and a new scheme to diffuse a vortex sheet onto particles in a way that is most accurate. These two improvements allow to perform DNS of 2-D flows past bodies of arbitrary shape. We test and validate them on the flow past an impulsively started circular cylinder. The second part of the paper is about 3-D flows with solid boundaries. We test the viscous method on the interaction between a vortex ring and a plane. We also detail a modified version of the Particle Strength Exchange (PSE) scheme close to the solid boundary so as to enhance the accuracy of the method. Fast vortex codes are used for both 2-D and 3-D computations. The 3-D code is also parallel.
DOI : 10.1051/proc:1999031

P. Ploumhans 1 ; G. S. Winckelmans 1 ; J. K. Salmon 1

1 Center for Systems Engineering and Applied Mechanics, Unité TERM, Place du Levant 2, Université catholique de Louvain, Louvain-la-Neuve 1348, Belgium Center for Advanced Computing Research, California Institute of Technology, Pasadena, CA 91125, USA 
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     author = {P. Ploumhans and G. S. Winckelmans and J. K. Salmon},
     title = {Vortex particles and tree codes: {I.} flows with arbitrary crossing between solid boundaries and particle redistribution lattice; {II.} vortex ring encountering a plane at an angle.},
     journal = {ESAIM. Proceedings},
     pages = {335--348},
     publisher = {mathdoc},
     volume = {7},
     year = {1999},
     doi = {10.1051/proc:1999031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1999031/}
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P. Ploumhans; G. S. Winckelmans; J. K. Salmon. Vortex particles and tree codes: I. flows with arbitrary crossing between solid boundaries and particle redistribution lattice; II. vortex ring encountering a plane at an angle.. ESAIM. Proceedings, Tome 7 (1999), pp. 335-348. doi : 10.1051/proc:1999031. http://geodesic.mathdoc.fr/articles/10.1051/proc:1999031/

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