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Spurious-free interpolations for non-intrusive PGD-based parametric solutions: Application to composites forming processes

Article dans une revue avec comité de lecture
Author
ccCUETO, Elias
95355 Universidad de Zaragoza = University of Zaragoza [Saragossa University] = Université de Saragosse
161327 Aragón Institute of Engineering Research [Zaragoza] [I3A]
FALCO, Antonio
307554 Universidad Cardenal Herrera-CEU [CEU-UCH]
DUVAL, Jean-Louis
564849 ESI Group [ESI Group]
ccGHNATIOS, Chady
533922 Notre Dame University-Louaize [Lebanon] [NDU]
ccCHINESTA SORIA, Francisco
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]

URI
http://hdl.handle.net/10985/20478
DOI
10.1007/s12289-020-01561-0
Date
2020
Journal
International Journal of Material Forming

Abstract

Non-intrusive approaches for the construction of computational vademecums face different challenges, especially when a parameter variation affects the physics of the problem considerably. In these situations, classical interpolation becomes inaccurate. Therefore, classical approaches for the construction of an offline computational vademecum, typically by using model reduction techniques, are no longer valid. Such problems are faced in different physical simulations, for example welding path problems, resin transfer molding, or sheet compression molding, among others. In such situations, the interpolation of precomputed solutions at prescribed parameter values (built using either intrusive or non intrusive techniques) generates spurious numerical artifacts. In this work, we propose an alternative interpolation and simulation strategy by using physically-based morphing of spaces. The morphing will transform the uncompatibe physical domains of the problem’s solution into a compatible one, where an interpolation free of artifacts can be performed. Later on, an inverse transformation can be used to push-back the solution. Different relevant examples are illustrated in this work to motivate the use of the proposed method

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