论文标题

三维针网络模型,用于树突状生长,流体流动

Three-dimensional needle network model for dendritic growth with fluid flow

论文作者

Isensee, Thomas, Tourret, Damien

论文摘要

我们提出了树突状针网(DNN)模型的首次实施,以在三个维度上进行树突状晶体生长,包括熔体中的对流传输。 Navier-Stokes方程的数值求解是通过有限差异执行的,并通过与流体力学中的经典基准进行比较来验证。我们计算在强制对流流下单个e词晶体的生长行为。如预期的那样,所得的树突形态与纯粹的扩散状态和相似的二维模拟有很大不同。使用逼真的合金和过程参数,在存在流体流动的情况下,在存在流体流量的情况下选择了微观结构选择机制开辟了道路。

We present a first implementation of the Dendritic Needle Network (DNN) model for dendritic crystal growth in three dimensions including convective transport in the melt. The numerical solving of the Navier-Stokes equations is performed with finite differences and is validated by comparison with a classical benchmark in fluid mechanics for unsteady flow. We compute the growth behavior of a single equiaxed crystal under a forced convective flow. As expected, the resulting dendrite morphology differs strongly from the case of the purely diffusive regime and from similar two-dimensional simulations. The resulting computationally efficient simulations open the way to studying mechanisms of microstructure selection in presence of fluid flow, using realistic alloys and process parameters.

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