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

Francisco Chinesta (GeM, Ecole Centrale Nantes, Nantes, France)
Adrien Leygue (GeM, Ecole Centrale Nantes, Nantes, France)
Marianne Beringhier (Institut P', ENSMA, Poitiers, France)
Linh Tuan Nguyen (Institut P', ENSMA, Poitiers, France)
Jean‐Claude Grandidier (Institut P', ENSMA, Poitiers, France)
Bernhard Schrefler (Department of Civil, Environmental and Architectural Engineering, University of Padova, Padova, Italy)
Francisco Pesavento (Department of Civil, Environmental and Architectural Engineering, University of Padova, Padova, Italy)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Publication date: 4 January 2013

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.

Keywords

Citation

Chinesta, F., Leygue, A., Beringhier, M., Tuan Nguyen, L., Grandidier, J., Schrefler, B. and Pesavento, F. (2013), "Towards a framework for non‐linear thermal models in shell domains", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 23 No. 1, pp. 55-73. https://doi.org/10.1108/09615531311289105

Download as .RIS

Publisher

:

Emerald Group Publishing Limited

Copyright © 2013, Emerald Group Publishing Limited

Please note you might not have access to this content

You may be able to access this content by login via Shibboleth, Open Athens or with your Emerald account.
If you would like to contact us about accessing this content, click the button and fill out the form.
To rent this content from Deepdyve, please click the button.