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首页> 外文期刊>JSME International Journal. Series B, Fluids and Thermal Engineering >Stability of Numerical Simulations of Dendritic Solidification
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Stability of Numerical Simulations of Dendritic Solidification

机译：树枝状凝固数值模拟的稳定性

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摘要

Novel developments in the numerical simulation of diffusion limited dendritic growth are discussed in the context of two-dimensional simulations of solidification of pure substances and of binary alloys. The three most important numerical difficulties encountered in the simulations of dendritic growth of binary alloys are discussed: 1) the need to accurately calculate the position and velocity of the interface as part of the solution; 2 ) the disparity of length scales between the thermal diffusion length and the solute diffusion length; and 3 ) the instability of the solid-liquid interface, particularly at high concentrations of solute. Dealing with the third difficulty constitutes the main objective of this paper. The stability of calculations is studied using the continuity condition on the heat flux across the interface and numerical simulations. The latter are used to assess the current modeling capabilities and the hurdles faced to produce more powerful simulators.
机译：在纯物质和二元合金凝固的二维模拟背景下，讨论了扩散受限的树枝状晶体生长数值模拟的新进展。讨论了二元合金树枝状生长模拟中遇到的三个最重要的数值困难：1）作为解决方案的一部分，需要精确计算界面的位置和速度； 2）在热扩散长度和溶质扩散长度之间的长度尺度的差异； 3）固液界面的不稳定性，特别是在高浓度的溶质下。解决第三个难题是本文的主要目标。使用跨界面热通量的连续性条件和数值模拟研究了计算的稳定性。后者用于评估当前的建模能力以及生产更强大的模拟器所面临的障碍。

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