Volume 14, Issue 2
Mathematical Modelling and Numerical Simulation of Dendrite Growth Using Phase-Field Method with a Magnetic Field Effect

A. Rasheed & A. Belmiloudi

Commun. Comput. Phys., 14 (2013), pp. 477-508.

Published online: 2014-08

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  • Abstract

In this paper, we present a new model developed in order to analyze phenomena which arise in the solidification of binary mixtures using phase-field method, which incorporates the convection effects and the action of magnetic field. The model consists of flow, concentration, phase field and energy systems which are nonlinear evolutive and coupled systems. It represents the non-isothermal anisotropic solidification process of a binary mixture together with the motion in a melt with the applied magnetic field. To illustrate our model, numerical simulations of the influence of magnetic-field on the evolution of dendrites during the solidification of the binary mixture of Nickel-Copper (Ni-Cu) are developed. The results demonstrate that the dendritic growth under the action of magnetic-field can be simulated by using our model.


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@Article{CiCP-14-477, author = {}, title = {Mathematical Modelling and Numerical Simulation of Dendrite Growth Using Phase-Field Method with a Magnetic Field Effect}, journal = {Communications in Computational Physics}, year = {2014}, volume = {14}, number = {2}, pages = {477--508}, abstract = {

In this paper, we present a new model developed in order to analyze phenomena which arise in the solidification of binary mixtures using phase-field method, which incorporates the convection effects and the action of magnetic field. The model consists of flow, concentration, phase field and energy systems which are nonlinear evolutive and coupled systems. It represents the non-isothermal anisotropic solidification process of a binary mixture together with the motion in a melt with the applied magnetic field. To illustrate our model, numerical simulations of the influence of magnetic-field on the evolution of dendrites during the solidification of the binary mixture of Nickel-Copper (Ni-Cu) are developed. The results demonstrate that the dendritic growth under the action of magnetic-field can be simulated by using our model.


}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.090412.121012a}, url = {http://global-sci.org/intro/article_detail/cicp/7170.html} }
TY - JOUR T1 - Mathematical Modelling and Numerical Simulation of Dendrite Growth Using Phase-Field Method with a Magnetic Field Effect JO - Communications in Computational Physics VL - 2 SP - 477 EP - 508 PY - 2014 DA - 2014/08 SN - 14 DO - http://dor.org/10.4208/cicp.090412.121012a UR - https://global-sci.org/intro/article_detail/cicp/7170.html KW - AB -

In this paper, we present a new model developed in order to analyze phenomena which arise in the solidification of binary mixtures using phase-field method, which incorporates the convection effects and the action of magnetic field. The model consists of flow, concentration, phase field and energy systems which are nonlinear evolutive and coupled systems. It represents the non-isothermal anisotropic solidification process of a binary mixture together with the motion in a melt with the applied magnetic field. To illustrate our model, numerical simulations of the influence of magnetic-field on the evolution of dendrites during the solidification of the binary mixture of Nickel-Copper (Ni-Cu) are developed. The results demonstrate that the dendritic growth under the action of magnetic-field can be simulated by using our model.


A. Rasheed & A. Belmiloudi. (2020). Mathematical Modelling and Numerical Simulation of Dendrite Growth Using Phase-Field Method with a Magnetic Field Effect. Communications in Computational Physics. 14 (2). 477-508. doi:10.4208/cicp.090412.121012a
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