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

Amine Ammar (1) , Elías Cueto (2) , Francisco Chinesta (3)

1 LAMPA - Laboratoire Angevin de Mécanique, Procédés et InnovAtion
2 I3A - Aragón Institute of Engineering Research [Zaragoza]
3 GeM - Institut de Recherche en Génie Civil et Mécanique

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.

Mots clés: model reduction; proper generalized decomposition; large geometrical transformations; meshless methods; natural element method; parametric models

Domaines: Ingénierie assistée par ordinateur; Mécanique des fluides [physics.class-ph]

Amine Ammar, Elías Cueto, Francisco Chinesta. Nonincremental proper generalized decomposition solution of parametric uncoupled models defined in evolving domains. International Journal for Numerical Methods in Engineering, 2012, 93 (8), pp.887-904. ⟨10.1002/nme.4413⟩. ⟨hal-01207448⟩