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Domain decomposition involving subdomain separable space representations for solving parametric problems in complex geometries

Article dans une revue avec comité de lecture
Author
KAZEMZADEH-PARSI, Mohammad Javad
555032 Islamic Azad University
211916 Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]
AMMAR, Amine
211916 Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]
CHINESTA, Francisco
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]

URI
http://hdl.handle.net/10985/22202
DOI
10.1186/s40323-022-00216-w
Date
2022
Journal
Advanced Modeling and Simulation in Engineering Sciences

Abstract

A domain decomposition technique combined with an enhanced geometry mapping based on the use of NURBS is considered for solving parametrized models in complex geometries (non simply connected) within the so-called proper generalized decomposition (PGD) framework, enabling the expression of the solution in each subdomain in a fully separated form, involving both the space and the model parameters. NURBS allow a compact and powerful domain mapping into a fully separated reference geometry, while the PGD allows recovering an affine structure of the problem in the reference domain, facilitating the use of the standard PGD solver for computing the parametric solution in each subdomain first, and then by enforcing the interface transmission conditions, in the whole domain.

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