Numerical Simulation of Two-Dimensional Dendritic Growth Using Phase-Field Model

Abdullah Shah, Ali Haider, Said Karim Shah

Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.
Department of Physics, Abdul Wali Khan University, Mardan, Khyber Pukhtunkhwa, Pakistan.

DOI: 10.4236/wjm.2014.45015                

Abstract

In this article, we study the phase-field model of solidification for numerical simulation of dendritic crystal growth that occurs during the casting of metals and alloys. Phase-field model of solidification describes the physics of dendritic growth in any material during the process of under cooling. The numerical procedure in this work is based on finite difference scheme for space and the 4th-order Runge-Kutta method for time discretization. The effect of each physical parameter on the shape and growth of dendritic crystal is studied and visualized in detail.

Keywords

Dendritic Crystal Growth, Phase-Field Model, 4th-Order Runge-Kutta Method

Conflicts of Interest

The authors declare no conflicts of interest.

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