Numerical Simulation of Three-dimensional Dendritic Growth for a Binary Alloy Using Phase-field Method

Due to the enormous computing amount of 3-D phase-field simulation of dendritic growth,at the same time,whether the microscopic solvability theory is applicable to the 3D phase-field model or not cannot be proved,therefore,the research in the field is relatively scarce,also,the progress is slow.Based on the phase-field approach which incorporates both beat and solute equations,an accelerated arithmetic algorithm of the dynamic computing regions is designed to solve phase-field model,taking Ni-Cu binary alloy for example,the accelerated arithmetic algorithm for 3D numerical simulation is validated,and 3D dendritic growth is implemented successfully which is difficult to realize on single personal computer.The computed results indicate that the numerical simulation exhibits veritably the 3D dendritic growth for binary alloy,and obtains dendritic growth law being consistent with crystallization theory.Also,the accelerated algorithm can reduce the computing time and the dependence of computer simulation on the hardware, thereby resulting in obvious acceleration effect,little redundancy,high precision,and simulation results more close to the real dendritic growth.