Direct simulations and stability analysis of the gravity driven convection in a Czochralski model

摘要

For studying 3D stability effects and temperature oscillations induced by thermo-gravitational convection in Czochralski crystal growth at small Prandtl number, a spectral-finite-difference method is employed. In the 2D (axisymmetric) and 3D approximations, the critical Grashof numbers for the onset of oscillations are determined for the parameters corresponding to an international test.