[Un algorithme parallèlle de directions simultanées pour les équations de Navier–Stokes.]
On utilise un algorithme parallèlle en espace et en temps de type directions simultanées pour résoudre les équations de Navier–Stokes. On adapte quelques idées de Lu, Neittaanmäki et Tai, ce qui conduit à une (grande) famille de systèmes différentiels ordinaires linéaires du second ordre qui son indépendants. On présente les résultats de quelques expériences numériques.
We use a parallel algorithm (in time and space) to solve the incompressible Navier–Stokes problem. Adapting some previous ideas by Lu, Neittaanmäki and Tai, the task is reduced to solving a (large) family of independent second-order one-dimensional linear systems. We also present some numerical experiments.
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@article{CRMATH_2004__339_3_235_0,
author = {Galo, Jos\'e R. and Albarreal, Isidoro I. and Calzada, M. Carmen and Cruz, Jos\'e Luis and Fern\'andez-Cara, Enrique and Mar{\'\i}n, Mercedes},
title = {A simultaneous directions parallel algorithm for the {Navier{\textendash}Stokes} equations},
journal = {Comptes Rendus. Math\'ematique},
pages = {235--240},
publisher = {Elsevier},
volume = {339},
number = {3},
year = {2004},
doi = {10.1016/j.crma.2004.05.009},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2004.05.009/}
}
TY - JOUR AU - Galo, José R. AU - Albarreal, Isidoro I. AU - Calzada, M. Carmen AU - Cruz, José Luis AU - Fernández-Cara, Enrique AU - Marín, Mercedes TI - A simultaneous directions parallel algorithm for the Navier–Stokes equations JO - Comptes Rendus. Mathématique PY - 2004 SP - 235 EP - 240 VL - 339 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2004.05.009/ DO - 10.1016/j.crma.2004.05.009 LA - en ID - CRMATH_2004__339_3_235_0 ER -
%0 Journal Article %A Galo, José R. %A Albarreal, Isidoro I. %A Calzada, M. Carmen %A Cruz, José Luis %A Fernández-Cara, Enrique %A Marín, Mercedes %T A simultaneous directions parallel algorithm for the Navier–Stokes equations %J Comptes Rendus. Mathématique %D 2004 %P 235-240 %V 339 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2004.05.009/ %R 10.1016/j.crma.2004.05.009 %G en %F CRMATH_2004__339_3_235_0
Galo, José R.; Albarreal, Isidoro I.; Calzada, M. Carmen; Cruz, José Luis; Fernández-Cara, Enrique; Marín, Mercedes. A simultaneous directions parallel algorithm for the Navier–Stokes equations. Comptes Rendus. Mathématique, Tome 339 (2004) no. 3, pp. 235-240. doi : 10.1016/j.crma.2004.05.009. http://www.numdam.org/articles/10.1016/j.crma.2004.05.009/
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