Title: Dynamique des Fluides Complexes:: Approches avec Allen-Cahn et Navier-Stokes (French Edition)
Publisher: �ditions universitaires europ�ennes
Publication Date: 2024
Language: French
ISBN 10: 6206716422
ISBN 13: 9786206716426
Binding: Soft cover
Condition: New

About this title

Synopsis

Le couplage des �quations de Navier-Stokes avec le mod�le d'Allen-Cahn repr�sente une avanc�e significative dans le domaine de la m�canique des fluides et de la mod�lisation des interfaces. Ce d�veloppement a ses racines dans la n�cessit� de mieux comprendre et simuler les dynamiques complexes des fluides multiphases. Ce livre (Dynamique des fluides complexes : approches avec Allen-Cahn et Navier-Stokes) explore l'approximation des dynamiques entre deux fluides de densit�s et de viscosit�s diff�rentes. Il pr�sente un mod�le qui couple l'�quation d'Allen-Cahn, d�crivant l'�volution d'un param�tre d'ordre scalaire, avec les �quations de Navier-Stokes d�pendantes du temps qui r�gissent le mouvement des fluides. Ce couplage implique un terme de tension de surface, qui prend en compte l'�nergie n�cessaire pour cr�er une interface entre les phases, proportionnelle � la courbure de l'interface, conduisant � la formation d'une interface dynamique. Les �quations de Navier-Stokes/Allen-Cahn � deux phases simulent plusieurs flux de fluides, en utilisant le mod�le d'Allen-Cahn pour les interfaces diffuses et les �quations de Navier-Stokes pour la dynamique des fluides.

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