Towards a framework for non-linear thermal models in shell domains

• Published in: International journal of numerical methods for heat & fluid flow Vol. 23; no. 1; pp. 55 - 73
• Main Authors: Chinesta, Francisco, Leygue, Adrien, Beringhier, Marianne, Tuan Nguyen, Linh, Grandidier, Jean-Claude, Schrefler, Bernhard, Pesavento, Francisco
• Format: Journal Article
• Language: English
• Published: Bradford Emerald Group Publishing Limited 01.01.2013; Emerald
• Subjects: Approximation; Asymptotic properties; Augmented reality; Computational fluid dynamics; Data mining; Engineering; Engineering Sciences; Materials; Mathematical models; Mechanics; Nonlinearity; Numerical analysis; Partial differential equations; Problems; Process controls; Representations; Science; Shells; Simulation; Solvers; Spacetime; Studies; Proper generalized decomposition; Shell geometries; Numerical methods; Mathematical modelling; Model reduction; Thermal model; Asymptotic numerical method
• ISSN: 0961-5539; 1758-6585
• DOI: 10.1108/09615531311289105

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.