Numerical calculation of two-dimensional unsteady solidification problem

Abstract

We calculate the variation of the solid-liquid interface in time to simulate crystal growth by the vertical Bridgman technique. The boundary-fitted coordinate system as a calculation method is used to treat the moving interface easily. It is found that the crystal growth rate is described by the moving velocity of the temperature profile and the delay time. After the delay time, the solid-liquid interface shape becomes independent of time. We find the relationships between the delay time and the growth conditions through the calculations. The results of our calculation are in good agreement with the experiments of Bridgman crystal growth.