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Issue ESAIM: PROC
Volume 24, 2008
CEMRACS 2007
Page(s) 46 - 59
DOI 10.1051/proc:2008029
Published online 10 October 2008

ESAIM: Proc., 2008, Vol. 24, pp. 46-59
DOI: 10.1051/proc:2008029

Lagrangian method enhanced with edge swapping for the free fall and contact problem

Étienne Bernard1, Stéphane Del Pino2, Erwan Deriaz3, Bruno Després4, Katerina Jurkova5 and Frédéric Lagoutière6

1  Université Paris-Diderot (Paris 7) and Laboratoire Jacques-Louis Lions (CNRS UMR 7598), 175, rue du Chevaleret, 75013 Paris, France (bernard@ann.jussieu.fr)
2  CEA/DIF, 91680 Bruyères-le-Châtel, France (stephane.delpino@cea.fr)
3  Institute of Mathematics, Polish Academy of Sciences. ul. Sniadeckich 8, 00-956 Warszawa, Poland (E.Deriaz@impan.gov.pl)
4  CEA/DIF, 91680 Bruyères-le-Châtel, France (bruno.despres@cea.fr)
5  Technical University of Liberec (katerina.jurkova@tul.cz)
6  Université Paris-Diderot (Paris 7) and Laboratoire Jacques-Louis Lions (CNRS UMR 7598), 175, rue du Chevaleret, 75013 Paris, France (lagoutie@math.jussieu.fr)


Published online: 10 October 2008

Abstract
We discuss various algorithms that one can use in conjunction with Lagrangian methods for the treatment of important deformation of the mesh. We develop a new contact algorithm. The free fall of a droplet of fluid in a light gas serves to illustrate the potentialities of these techniques.


Résumé
Nous étudions un problème modèle de chute libre d'une goutte de fluide dans de l'air à l'aide de méthodes numériques lagrangiennes. Nous développons et étudions un nouvel algorithme de contact qui permet (numériquement) à la goutte de toucher le sol.



© EDP Sciences, ESAIM 2008


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