Advanced separated spatial representations for hardly separable domains

Chady Ghnatios (1) , Emmanuelle Abisset (2) , Amine Ammar (3) , Elías Cueto (4) , Jean Louis Duval (5) , Francisco Chinesta (6)

1 NDU - Notre Dame University-Louaize [Lebanon]
2 I2M - Institut de Mécanique et d'Ingénierie de Bordeaux
3 LAMPA - Laboratoire Angevin de Mécanique, Procédés et InnovAtion
4 University of Zaragoza - Universidad de Zaragoza [Zaragoza]
5 ESI Group - ESI Group
6 PIMM - Laboratoire Procédés et Ingénierie en Mécanique et Matériaux

This work aims at proposing a new procedure for parametric problems whose separated representation has been considered difficult, or whose SVD compression impacted the results in terms of performance and accuracy. The proposed technique achieves a fully separated representation for layered domains with interfaces exhibiting waviness or – more generally – deviating from planar surfaces, parallel to the coordinate plane. This will make possible a simple separated representation, equivalent to others, already analyzed in some of our former works. To prove the potentialities of the proposed approach, two benchmarks will be addressed, one of them involving an efficient space–time separated representation achieved by considering the same rationale.

Mots clés: PGD; Space separated representation; Parametric modeling

Domaines: Sciences de l'ingénieur [physics]

Chady Ghnatios, Emmanuelle Abisset, Amine Ammar, Elías Cueto, Jean Louis Duval, et al.. Advanced separated spatial representations for hardly separable domains. Computer Methods in Applied Mechanics and Engineering, 2019, 354, pp.802-819. ⟨10.1016/j.cma.2019.05.047⟩. ⟨hal-02178960⟩