概述了凝固显微组织数值模拟研究的发展过程，详细介绍了在晶粒尺度上进行组织模拟的两类模型：确定论模型和概率论模型。此外，介绍了显微组织模拟研究方面的最新动态，包括相图计算和相场法的应用。最后，在分析现有模型不足的基础上，指出了显微组织模拟研究中亟需解决的问题，并对今后的发展方向作了分析。
The developments of the numerical simulation of solidification microstructures have been summarized. Two simulation models on the scale of grains were introduced in details, which are Deterministic Model and Stochastic Model. The recent trends of microstructure simulation were also proposed, such as coupling phase diagram calculation and Phase Field Methods. Finally, the problems needed to be resolved urgently over microstructure simulation as well as the trends were proposed based on analyzing the disadvantages of the models available.
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