Crystal Melt Modeling and Simulation with Magnetic Fields.

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 three-dimensional 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. [ABSTRACT FROM AUTHOR]