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

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 proce...

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Bibliographic Details
Published in:International journal of numerical methods for heat & fluid flow 2013-01, Vol.23 (1), p.55-73
Main Authors: Chinesta, Francisco, Leygue, Adrien, Beringhier, Marianne, Tuan Nguyen, Linh, Grandidier, Jean-Claude, Schrefler, Bernhard, Pesavento, Francisco
Format: Article
Language:English
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
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Summary: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.
ISSN:0961-5539
1758-6585
DOI:10.1108/09615531311289105