Crystal Melt Modeling and Simulation with Magnetic Fields
Abstract
An aspect of recent developments in crystal growth technologies is the control of electric conductive fluids by magnetic fields. Recently it was shown by [4] and [3] that boundary control of crystal melts was not very successful. In this paper we consider a coupled model consisting of the mass, momentum and energy balance for the melt and a global induction equation. This extensive modeling is a very good base for the crystal melt control by certain magnetic fields. We develop and discuss the mathematical model and the numerical solution method and demonstrate some simulation results for the twodimensional and threedimensional case. Finally on this basis an outlook for a possible benefit of the considered mathematical model and its numerical solution for a flow/melt control is given.
 Publication:

Numerical Analysis and Applied Mathematics ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics
 Pub Date:
 September 2011
 DOI:
 10.1063/1.3636936
 Bibcode:
 2011AIPC.1389.1698H
 Keywords:

 momentum;
 heat conduction;
 laminar flow;
 boundaryvalue problems;
 45.20.df;
 44.10.+i;
 47.15.Fe;
 02.60.Lj;
 Momentum conservation;
 Heat conduction;
 Stability of laminar flows;
 Ordinary and partial differential equations;
 boundary value problems