A theoretical model of binary alloy solidification is formulated using the
mass, momentum and energy balances in the liquid, and the mass and energy b
alances in the solid. The interface between the solid and liquid phases is
modeled as a discontinuity surface where the mass, momentum and energy bala
nce conditions are expressed. The linear theory of mixtures is employed in
modeling the two-component system. The numerical solution of the mathematic
al model is performed using the Galerkin finite element method in a 2-D app
roximation with the cylindrical symmetry and the moving boundary problem is
solved by a front-fixing technique. Computer implementation of the numeric
al model is then performed. In a practical application of the computational
model, the process of CdZnTe crystal growth using the vertical Bridgman me
thod and the vertical gradient method is simulated. The influence of princi
pal adjustable parameters of both crystal growth techniques is studied, and
these parameters are optimized, Also, the effects of uncertainty of materi
al data and of second-order material parameters are analyzed. (C) 2000 Else
vier Science B.V. All rights reserved.