[Une approche éléments finis pour la simulation de problèmes de diffusion–convection induisant des transformations isothermes]
Un algorithme éléments finis est proposé pour simuler les problèmes de diffusion–convection avec des changements de phase isothermes. Cette technique repose sur une approche en enthalpie, discrétisée au moyen dʼune approximation éléments finis de lʼenthalpie intégrant la chaleur latente de transformation. Lʼinterface est décrite de manière implicite sans couplage avec une technique spécifique de capture dʼinterface. Un exemple met clairement en évidence lʼefficacité de la méthode développée.
A finite element algorithm is proposed to simulate steady-state diffusion–convection problems with isothermal phase changes. This technique is based on an enthalpic approach discretized by means of a finite element approximation of the enthalpy including the latent heat of transformation. The interface of phase changes is implicitly described without coupling with an interface-capturing technique. An example clearly shows the efficiency of the method developed.
Mot clés : Convection, Éléments finis enrichis, Problème de Stefan, Changements de phase isothermes
@article{CRMECA_2012__340_7_512_0,
author = {Eric Feulvarch and Jean-Christophe Roux and Jean-Michel Bergheau},
title = {Finite element solution for diffusion{\textendash}convection problems with isothermal phase changes},
journal = {Comptes Rendus. M\'ecanique},
pages = {512--517},
publisher = {Elsevier},
volume = {340},
number = {7},
year = {2012},
doi = {10.1016/j.crme.2012.03.009},
language = {en},
}
TY - JOUR AU - Eric Feulvarch AU - Jean-Christophe Roux AU - Jean-Michel Bergheau TI - Finite element solution for diffusion–convection problems with isothermal phase changes JO - Comptes Rendus. Mécanique PY - 2012 SP - 512 EP - 517 VL - 340 IS - 7 PB - Elsevier DO - 10.1016/j.crme.2012.03.009 LA - en ID - CRMECA_2012__340_7_512_0 ER -
%0 Journal Article %A Eric Feulvarch %A Jean-Christophe Roux %A Jean-Michel Bergheau %T Finite element solution for diffusion–convection problems with isothermal phase changes %J Comptes Rendus. Mécanique %D 2012 %P 512-517 %V 340 %N 7 %I Elsevier %R 10.1016/j.crme.2012.03.009 %G en %F CRMECA_2012__340_7_512_0
Eric Feulvarch; Jean-Christophe Roux; Jean-Michel Bergheau. Finite element solution for diffusion–convection problems with isothermal phase changes. Comptes Rendus. Mécanique, Volume 340 (2012) no. 7, pp. 512-517. doi : 10.1016/j.crme.2012.03.009. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.03.009/
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An enriched finite element algorithm for the implicit simulation of the Stefan problem
Eric Feulvarch; Jean-Christophe Roux; Jean-Michel Bergheau
C. R. Méca (2011)