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

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.

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