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首页> 外文期刊>Journal of Computational Physics >Phase field study of the tip operating state of a freely growing dendrite against convection using a novel parallel multigrid approach
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Phase field study of the tip operating state of a freely growing dendrite against convection using a novel parallel multigrid approach

机译:使用新颖的平行多重网格方法自由生长的树枝状晶体对流的尖端工作状态的相场研究

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摘要

Alloy dendrite growth during solidification with coupled thermal-solute-convection fields has been studied by phase field modeling and simulation. The coupled transport equations were solved using a novel parallel-multigrid numerical approach with high computational efficiency that has enabled the investigation of dendrite growth with realistic alloy values of Lewis number ~10~4 and Prandtl number ~10~(-2). The detailed dendrite tip shape and character were compared with widely recognized analytical approaches to show validity, and shown to be highly dependent on undercooling, solute concentration and Lewis number. In a relatively low flow velocity regime, variations in the ratio of growth selection parameter with and without convection agreed well with theory.
机译:通过相场建模和仿真研究了具有耦合的热-溶质-对流场的凝固过程中合金枝晶的生长。耦合的输运方程使用新颖的并行多重网格数值方法求解,具有很高的计算效率,该方法使得能够研究路易斯数为〜10〜4和普朗特数为〜10〜(-2)的实际合金值的枝晶生长。详细的枝晶尖端形状和特征与公认的分析方法进行了比较,以显示其有效性,并显示出高度依赖于过冷,溶质浓度和路易斯数。在相对较低的流速条件下,有和没有对流的生长选择参数比率的变化与理论吻合得很好。

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