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Single crystal growing problem in the FZ method under microgravity (three-dimensional numerical simulation with the hybrid FEM-BEM applying LSM on the free surface)

机译:微晶下的单晶生长问题在微匍匐下的FZ方法(三维数值模拟与自由表面上施用LSM的混合FEM-BEM)

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This paper presents the hybrid finite element and boundary element method (FEM-BEM) with a level set method (LSM) for the analysis of a free surface deformed in the alternating current magnetic field. Three-dimensional numerical simulations in the floating zone (FZ) method under microgravity are carried out to investigate the deformation process of a silicon liquid bridge with two types of coil positions, the upper case and the middle case. The results clearly show the deformation processes. The liquid part which is the same position as each coil yields to pressure caused by strong Lorentz force and both ends swell out. This phenomenon conforms well to the behavior of melt in the real growing process qualitatively. Moreover, it is found that the melt width depends on the position of a coil.
机译:本文介绍了具有电平集法(LSM)的混合有限元和边界元方法(FEM-BEM),用于分析在交流磁场中变形的自由表面。在微再生处的浮区(FZ)方法中的三维数值模拟进行了研究,以研究具有两种类型的线圈位置,上壳体和中间壳体的硅液体桥的变形过程。结果清楚地显示了变形过程。与每个线圈相同的位置的液体部分产生由强洛伦兹力强的压力,并且两端膨胀。这种现象符合定性生长过程中熔体的行为。此外,发现熔体宽度取决于线圈的位置。

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