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Nonincremental proper generalized decomposition solution of parametric uncoupled models defined in evolving domains

Article dans une revue avec comité de lecture
Author
ccAMMAR, Amine
211916 Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]
ccCUETO, Elias
161327 Aragón Institute of Engineering Research [Zaragoza] [I3A]
ccCHINESTA SORIA, Francisco
10921 Institut de Recherche en Génie Civil et Mécanique [GeM]

URI
http://hdl.handle.net/10985/10287
DOI
10.1002/nme.4413
Date
2012
Journal
International Journal for Numerical Methods in Engineering

Abstract

This work addresses the recurrent issue related to the existence of reduced bases related to the solution of parametric models defined in evolving domains. In this first part of the work, we address the case of decoupled kinematics, that is, models whose solution does not affect the domain in which they are defined. The chosen framework considers an updated Lagrangian description of the kinematics, solved by using natural neighbor Galerkin methods within a nonincremental space–time framework that can be generalized for addressing parametric models. Examples showing the performance and potentialities of the proposed methodology are included.

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