Moving grid method for numerical simulation of ternary solution crystallization process

A. O. Gusev


Abstract: The crystallization process of ternary alloy in the rectangular growth chamber is considered. The mathematical model accounts for crystallization interface movement, convective mass transfer in the solution, diffusion mass transfer in crystal, equilibrium conditions at the phase transition interface. The conservative finite volume scheme is constructed on the boundary-fitted moving grid. The discrete counterparts of conservation laws for kinetic energy and mass are satisfied in the numerical model. The effect of growth chamber dimensions on the crystal composition is studied numerically.

Keywords: phase transition, liquid phase epitaxy, numerical simulation, moving grid.

DOI: 10.20948/prepr-2022-64