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

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.
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Aziz Belmiloudi, Amer Rasheed. A numerical analysis of an anisotropic phase-field model for binary-fluid mixtures in the presence of magnetic-field. 2015. 〈hal-01364872〉

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