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首页> 外文期刊>Journal of Crystal Growth >Two-dimensional numerical modeling of grain structure in multi-crystalline silicon ingot
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Two-dimensional numerical modeling of grain structure in multi-crystalline silicon ingot

机译：多晶硅锭中晶粒结构的二维数值模拟

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摘要

A numerical model is described, aiming to predict the evolution of the grain structure along a multi-crystalline silicon ingot. The model is based on recent theories on the effect of rough or facetted solid-liquid interface morphology and twinning on the grain boundary behavior. This physico-chemical model has been implemented in a two-dimensional numerical code, in order to check the capabilities of this approach. The structure of the code and how the evolution of the grain structure with time is tracked is described. It includes: 1. Time dependent heat transfer during the whole ingot casting, giving the solid-liquid interface shape and velocity, as well as solid temperature gradient, versus time. 2. Randomly oriented nucleation on the crucible bottom. 3. Grain boundary by grain boundary analysis of the grain/grain/liquid triple line and its evolution with time. 4. The intersection of grain boundaries, twinning, intersection with crucible wall and sudden changes of grain directions are considered. 5. Simulation results are discussed in terms of selected grain orientations and grain sizes. Perspectives toward 3D simulation are presented.
机译：描述了一个数值模型，旨在预测晶粒结构沿多晶硅锭的演变。该模型基于关于粗糙或多面固液界面形态以及孪晶对晶界行为的影响的最新理论。为了检查此方法的功能，已在二维数字代码中实施了该物理化学模型。描述了代码的结构以及如何跟踪晶粒结构随时间的变化。它包括：1.整个铸锭过程中与时间有关的热传递，给出了固液界面的形状和速度以及固相温度梯度随时间的变化。 2.坩埚底部的随机取向成核。 3.通过对晶粒/晶粒/液体三重线的晶粒边界的分析及其随时间的演变。 4.考虑到晶界的交叉，孪晶，与坩埚壁的相交以及晶向的突然变化。 5.根据选择的晶粒取向和晶粒尺寸讨论了模拟结果。提出了对3D模拟的观点。

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