Francisco Chinesta, Adrien Leygue, Marianne Beringhier, Linh Tuan Nguyen, Jean‐Claude Grandidier, Bernhard Schrefler and Francisco Pesavento
The purpose of this paper is to solve non‐linear parametric thermal models defined in degenerated geometries, such as plate and shell geometries.
Abstract
Purpose
The purpose of this paper is to solve non‐linear parametric thermal models defined in degenerated geometries, such as plate and shell geometries.
Design/methodology/approach
The work presented in this paper is based in a combination of the proper generalized decomposition (PGD) that proceeds to a separated representation of the involved fields and advanced non‐linear solvers. A particular emphasis is put on the asymptotic numerical method.
Findings
The authors demonstrate that this approach is valid for computing the solution of challenging thermal models and parametric models.
Originality/value
This is the first time that PGD is combined with advanced non‐linear solvers in the context of non‐linear transient parametric thermal models.