二元合金三维枝晶生长的相场法数值模拟

三维枝晶生长相场法模拟由于计算量巨大,同时无法证明微观可解理论是否适用于三维相场模型,因此,对该领域的研究相对较少且进展缓慢.基于耦合温度场与溶质场的相场模型,设计基于动态计算区域的加速算法求解相场模型,以Ni-Cu二元合金的三维模拟计算为例对加速算法进行验证,成功实现了单机上难以实现的三维枝晶生长过程的模拟计算.计算结果表明,模拟计算真实地再现了二元合金三维凝固过程中树枝晶的生长过程,并得到了与结晶理论相一致的枝晶生长规律.加速算法可大大减小计算时间,降低计算模拟对计算机硬件的依赖性,加速效果明显,冗余量小,精确度高,模拟结果更接近工程实际.

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 allo...