[Couches parfaitement adaptées pour les équations de la chaleur et d'advection–diffusion]
Nous avons construit des Couches Parfaitement Adaptées (CPA) aux équations d'advection diffusion. Nous montrons que le coefficient de réflexion est exponentiellement petit par rapport au paramètre d'amortissement et de la largeur des CPA et ce, indépendamment des coefficients d'advection ou de viscosité. Les tests numériques présentés prouvent l'efficacité de la méthode.
We design a perfectly matched layer for the advection–diffusion equation. We show that the reflection coefficient is exponentially small with respect to the damping parameter and the width of the PML and independently of the advection and of the viscosity parameters. Numerical tests assess the efficiency of the approach.
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@article{CRMATH_2010__348_13-14_781_0,
author = {Lantos, Nicolas and Nataf, Fr\'ed\'eric},
title = {Perfectly matched layers for the heat and advection{\textendash}diffusion equations},
journal = {Comptes Rendus. Math\'ematique},
pages = {781--785},
publisher = {Elsevier},
volume = {348},
number = {13-14},
year = {2010},
doi = {10.1016/j.crma.2010.05.004},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2010.05.004/}
}
TY - JOUR AU - Lantos, Nicolas AU - Nataf, Frédéric TI - Perfectly matched layers for the heat and advection–diffusion equations JO - Comptes Rendus. Mathématique PY - 2010 SP - 781 EP - 785 VL - 348 IS - 13-14 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2010.05.004/ DO - 10.1016/j.crma.2010.05.004 LA - en ID - CRMATH_2010__348_13-14_781_0 ER -
%0 Journal Article %A Lantos, Nicolas %A Nataf, Frédéric %T Perfectly matched layers for the heat and advection–diffusion equations %J Comptes Rendus. Mathématique %D 2010 %P 781-785 %V 348 %N 13-14 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2010.05.004/ %R 10.1016/j.crma.2010.05.004 %G en %F CRMATH_2010__348_13-14_781_0
Lantos, Nicolas; Nataf, Frédéric. Perfectly matched layers for the heat and advection–diffusion equations. Comptes Rendus. Mathématique, Tome 348 (2010) no. 13-14, pp. 781-785. doi : 10.1016/j.crma.2010.05.004. http://www.numdam.org/articles/10.1016/j.crma.2010.05.004/
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