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.
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.
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José R. Galo 1; Isidoro I. Albarreal 2; M. Carmen Calzada 1; José Luis Cruz 1; Enrique Fernández-Cara 2; Mercedes Marín 1
@article{CRMATH_2004__339_3_235_0,
author = {Jos\'e R. Galo and Isidoro I. Albarreal and M. Carmen Calzada and Jos\'e Luis Cruz and Enrique Fern\'andez-Cara and Mercedes Mar{\'\i}n},
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},
}
TY - JOUR AU - José R. Galo AU - Isidoro I. Albarreal AU - M. Carmen Calzada AU - José Luis Cruz AU - Enrique Fernández-Cara AU - Mercedes Marín 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 DO - 10.1016/j.crma.2004.05.009 LA - en ID - CRMATH_2004__339_3_235_0 ER -
%0 Journal Article %A José R. Galo %A Isidoro I. Albarreal %A M. Carmen Calzada %A José Luis Cruz %A Enrique Fernández-Cara %A Mercedes Marín %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 %R 10.1016/j.crma.2004.05.009 %G en %F CRMATH_2004__339_3_235_0
José R. Galo; Isidoro I. Albarreal; M. Carmen Calzada; José Luis Cruz; Enrique Fernández-Cara; Mercedes Marín. A simultaneous directions parallel algorithm for the Navier–Stokes equations. Comptes Rendus. Mathématique, Volume 339 (2004) no. 3, pp. 235-240. doi : 10.1016/j.crma.2004.05.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.05.009/
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