Numerical Simulation of Dopant Spreading during the Submerged Heater Crystal Growth
by
N. G. Bourago
Institute for Problems in Mechanics of Russian Academy of Sciences, Russian Federation
Coauthors: A. I. Fedyushkin

The work is concerned with computer simulation of axisymmetric Navier- Stokes-Boussinesq swirl flow of the melt and convection-diffusion of the dopant during the submerged heater crystal growth process [1].

The influence of the following factors was investigated: gravity, rate of crystal growth, temperature, rotation/vibration of heater, axial magnetic field. The recommentations are given on the search of optimal conditions of crystal growth, which provide the most homogeneous distribution of dopant in growing crystals.

Preliminary results of unsteady 3D simulation of the process are also presented. Under farther development they allow more general consideration taking into account nonsymmetrical geometry and nonsymmetrical initial and boundary conditions.

Calculations were made using code ASTRA [2]. More references and more detailed description can be found in [3].

This work is supported by the Ministry of Brussels Capital Region (Belgium) and by the Microgravity Research Center of Free Brussel University within the program "Research in Brussels".

References

1. A. G. Ostrogorsky, and Z. Dragojlovic, Proc. Microgravity sci. and applications session, Intern. Aerospace Congr., Moscow, 1995, pp. 127-133

2. N. G. Bourago, Hydrocode ASTRA for nonlinear problems in continuum mechanics, Abstracts of 7th Nordic Seminar on Computational Mechanics, Trondheim, 1994, pp. 101-102

3. N. G. Bourago, V. D. Golyshev, M. A. Gonik, V. I. Polezhaev, A. I. Fedyushkin, V. B. Tsvetovski, Modes of forced and natural convection and their influence on dopant distribution in a crystal under crystal growth method OTF1a, Proc. of IIIth Int. Conf. "Crystals, Growth, Properties, Real Structure, Application", Alexandrov, vol.2, 1997, pp. 116-123

Date received: April 7, 1999