A modified cellular automaton model was proposed to simulate the dendrite growth of
alloy. Different from previous models, this model used neither an analytical equation(such as KGT
model) nor an interface solute gradient equation to solve the velocity of solid-liquid interface, but
used the interface solute and energy conservation and thermodynamic equilibrium condition to
describe the solid/liquid interface growth kinetics process. In present model, once the temperature
field and solute field were solved by finite different method in the entire domain, the material
thermodynamic properties can be substituted into four algebraic equations to easily determine the
variation of solid fraction, interface temperature and solute concentration, instead of calculating
interface moving velocity. As a result, the complexity of the calculation can be largely reduced. The
simulated dendrite growth was in a good agreement with the Lipton–Glicksman–Kurz (LGK) model
for free dendritic growth in undercooled melts.
Equiaxed and columnar dendrite growth simulation in Al-7Si- Mg ternary alloys using cellular automaton method
