Spectral Methods - Part 1: A fast and accurate approach for solving nonlinear diffusive problems

Abstract : This paper proposes the use of the Spectral method to simulate diffusive moisture transfer through porous materials, which can be strongly nonlinear and can significantly affect sensible and latent heat transfer. An alternative way for computing solutions by considering a separated representation is presented, which can be applied to both linear and nonlinear diffusive problems, considering highly moisture-dependent properties. The Spectral method is compared with the classical implicit Euler and Crank-Nicolson schemes. The results show that the Spectral approach enables to accurately simulate the field of interest. Furthermore, the numerical gains become particularly interesting for nonlinear cases since the proposed method drastically can reduce the computer run time by 99% when compared to the traditional Crank-Nicolson scheme.
Type de document :
Pré-publication, Document de travail
40 pages, 20 figures, 3 tables, 37 references. Other author's papers can be downloaded at http://.. 2017
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https://hal.archives-ouvertes.fr/hal-01513304
Contributeur : Denys Dutykh <>
Soumis le : lundi 24 avril 2017 - 21:39:58
Dernière modification le : jeudi 27 avril 2017 - 01:04:02

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Distributed under a Creative Commons Paternité - Pas d'utilisation commerciale - Partage selon les Conditions Initiales 4.0 International License

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  • HAL Id : hal-01513304, version 1
  • ARXIV : 1704.07607

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Suelen Gasparin, Julien Berger, Denys Dutykh, Nathan Mendes. Spectral Methods - Part 1: A fast and accurate approach for solving nonlinear diffusive problems. 40 pages, 20 figures, 3 tables, 37 references. Other author's papers can be downloaded at http://.. 2017. <hal-01513304>

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