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Editions Universitaires Europeennes Simulation Numérique en Mécanique des fluides: Développement de modéles algébriques explicites pour les fluides viscoélastiques

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Description

Le développement de modèles algébriques pour les fluides viscoélastiques vise à simplifier les formulations des modèles différentiels usuels dans un souci de réduction des coûts de calculs. Alors que les modèles différentiels requièrent la résolution d'une équation aux dérivées partielles par composante de tension, les modèles algébriques reposent sur la résolution d'une unique équation de transport pour la trace du tenseur viscoélastique et sur des expressions explicites simples pour les tensions. Dans ce travail, deux nouvelles formulations de modèles algébriques reproduisant les propriétés de cisaillement pur du modèle différentiel d'Oldroyd-B sont proposées. Ces modéles sont mis en oeuvre sur des géométries 2D variées : écoulement dans une contraction 4:1, autour d'un cylindre et dans une conduite courbée à 180°. Ces simulations ont été menées au moyen d'un code volumes finis écrit en coordonnées orthogonales généralisées. On prouve que les modèles algébriques simplifiés reproduisent avec un coût de calcul nettement réduit les propriétés du modèle différentiel d'Oldroyd-B, à condition de respecter l'indifférence matérielle des nouvelles formulations proposées.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
26 May 2010
Listed Since
01 June 2010

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