论文标题

比较介观模型的树突生长

Comparing mesoscopic models for dendritic growth

论文作者

Tourret, Damien, Sturz, Laszlo, Viardin, Alexandre, Založnik, Miha

论文摘要

我们提出了用于树突生长模拟的多尺度模型的定量基准。我们专注于基于相位场,树突针网和谷物包膜动力学的方法。作为第一步,我们将重点放在三维中过饱和液体中等亚晶粒的等热生长上。用于固化稀二元合金的定量相场公式用作参考基准。我们研究了基于针头和基于包膜的方法的数值和建模参数的效果,这些方法是在定量再现相位场参考结果的能力方面。鉴于此基准,我们讨论了每种方法的能力和局限性,以定量有效地预测树突生长的短暂和稳态。我们确定在基于针头和基于信封的模型中,在准确性和计算效率之间产生良好折衷的参数。我们预计这些结果将指导这些模型的进一步发展和利用,并最终通过整个实验和固化过程为树突尖端的定量桥梁铺平了道路。

We present a quantitative benchmark of multiscale models for dendritic growth simulations. We focus on approaches based on phase-field, dendritic needle network, and grain envelope dynamics. As a first step, we focus on isothermal growth of an equiaxed grain in a supersaturated liquid in three dimensions. A quantitative phase-field formulation for solidification of a dilute binary alloy is used as the reference benchmark. We study the effect of numerical and modeling parameters in both needle-based and envelope-based approaches, in terms of their capacity to quantitatively reproduce phase-field reference results. In light of this benchmark, we discuss the capabilities and limitations of each approach in quantitatively and efficiently predicting transient and steady states of dendritic growth. We identify parameters that yield a good compromise between accuracy and computational efficiency in both needle-based and envelope-based models. We expect that these results will guide further developments and utilization of these models, and ultimately pave the way to a quantitative bridging of the dendrite tip scale with that of entire experiments and solidification processes.

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