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Simulations in ambient space : freeing mesh generation techniques from the respect of boundaries in the context of the FEM
Béchet, Eric; Moës, Nicolas; Wolhmuth, Barbara et al.
2009
 

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Keywords :
Numerical simulations; boundaries; finite element method
Abstract :
[en] Numerical simulations made within the finite element method have been made with increased geometrical and modeling complexity over the decades. To carry out such simulations, mesh generation techniques are a key ingredient. With conventional finite element methods, one first need to conform the mesh to the boundaries. The density of the mesh should also be controlled. Altogether, these require tough mesh generation algorithms and often a fair amount of user interaction. In this paper, we present a technique that allows to free mesh generation algorithms from the respect of object boundaries or internal boundaries. First we will show a way to represent the geometry of an object independently of its origin, using multiple level-sets. We will then show how to embed those interfaces in the finite element method without having to conform the mesh. We prove that the numerical results are as accurate as those obtained with conforming boundaries.
Disciplines :
Physics
Mathematics
Mechanical engineering
Computer science
Author, co-author :
Béchet, Eric ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Conception géométrique assistée par ordinateur
Moës, Nicolas;  Institut de Génie Civil et Mécanique, Ecole Centrale de Nantes, 2 rue de la Noë, F-44321 Nantes, France
Wolhmuth, Barbara;  IANS, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany
Moumnassi, Mohammed;  LTI, Centre de Recherche Public Henri Tudor, 66 rue de Luxembourg, L- 4221 Esch-sur-Alzette , Luxembourg
François, Vincent;  Départesment de Génie Mécanique, Université du Québec à Trois-Rivières CP500, Trois-Rivières ( Québec ) G9A 5H7, Canada
Language :
English
Title :
Simulations in ambient space : freeing mesh generation techniques from the respect of boundaries in the context of the FEM
Publication date :
2009
Event name :
11th ISGG Conference
Event organizer :
Ecole Polytechnique
Event place :
Montréal, Canada
Audience :
International
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since 21 January 2010

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