A numerical analysis of an anisotropic phase-field model for binary-fluid mixtures in the presence of magnetic-fieldReport as inadecuate




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1 IRMAR - Institut de Recherche Mathématique de Rennes 2 Department of Mathematics, Lahore University of Management Sciences, , amerasheed@ciitwah.edu.pk,

Abstract : In this paper we propose a numerical scheme and perform its numerical analysis devoted to an anisotropic phase-field model with convection under the influence of magnetic field for the isother-mal solidification of binary mixtures in two-dimensional geometry. Precisely, the numerical stability and error analysis of this approximation scheme which is based on mixed finite-element method are performed. The particular application of a nickelcopper NiCu binary alloy, with real physical parameters , is considered. The study substantiates a good agreement between the numerical and theoretical results, and demonstrates the efficiency of the presented method.

Keywords : magnetic-field. uid ow binary alloys dendritic so- lidification anisotropic phase-field stability and error analysis Mixed finite elements





Author: Aziz Belmiloudi - Amer Rasheed -

Source: https://hal.archives-ouvertes.fr/



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