Three-dimensional stability calculations for hydrodynamic model of Czochralski growth

Abstract

Preliminary results obtained by a code aimed to the analysis of three-dimensional (3D) instability of axisymmetric melt flows in Czochralski crucible are described. The CPU time and the computer memory necessary for the comprehensive 3D stability analysis by a second-order finite volume method are estimated. Basing on a certain experimental configuration, we give an example of the stability diagram which shows how the critical temperature difference varies with the crystal rotation. We also show how critical temperature difference can be significantly increased by a weak rotation of the crucible and report corresponding stability diagrams.