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

Francisco Chinesta, Adrien Leygue, Marianne Beringhier, Linh Tuan Nguyen, Jean Claude Grandidier, Bernhard Schrefler, Francisco Pesavento

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)55-73
Number of pages19
JournalInternational Journal of Numerical Methods for Heat and Fluid Flow
Issue number1
StatePublished - 2013


  • Asymptotic numerical method
  • Mathematical modelling
  • Model reduction
  • Numerical methods
  • Proper generalized decomposition
  • Shell geometries
  • Thermal model

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Computer Science Applications
  • Applied Mathematics


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