Numerical Simulation of Three-dimensional Dendritic Growth for a Binary Alloy Using Phase-field Method
Numerical Simulation of Three-dimensional Dendritic Growth for a Binary Alloy Using Phase-field Method
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DOI：
10.3901/jme.2009.01.088
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发表时间：
2009
影响因子：
4.2
通讯作者：
Zhu Chang-sheng;Feng Li
中科院分区：
文献类型：
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作者：
Zhu Chang-sheng;Feng Li
由于三维相场法模拟枝晶生长的计算量巨大，同时微观可解性理论是否适用于三维相场模型也无法得到证明，因此该领域的研究相对较少，进展缓慢。设计了一种求解相场模型的动态计算域加速算法，并以Ni-Cu二元合金为例，对三维数值模拟的加速算法进行了验证，计算结果表明，数值模拟真实地反映了二元合金的三维枝晶生长过程，并且该加速算法可以减少计算时间，减少计算机模拟对硬件的依赖，加速效果明显，冗余少，精度高，模拟结果更接近真实的枝晶生长。
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.