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Numerical simulation of crucible rotation in high-temperature solution growth method using a Fourier-Legendre spectral element method

机译:傅里叶-勒格德谱元法在高温溶液生长法中坩埚旋转的数值模拟

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摘要

Striation, which is detrimental to the crystal quality, occurs in the inhomogeneous solution concentration field. The accelerated crucible rotation technique (ACRT), a stirring technique, is conceived to alleviate the striation and is commonly used in solution crystal growth. In this paper, the effect of ACRT on the concentration homogenization in high-temperature solution crystal growth method is investigated by a Fourier-Legendre spectral element method, where Gauss-Radau points are chosen for the element involving the origin to avoid the 1/r singularity at r=0, Gauss-Lobatto points are adopted for other elements in radial direction. Fourier polynomial is applied in azimuthal direction. The time splitting method is used for temporal discretization. Six typical ACRT modes are simulated, and the standard derivation is adopted to evaluate the homogeneous level of solution concentration. As a result, the optimum ACRT mode and time period are suggested.
机译:在不均匀的溶液浓度场中发生有害于晶体质量的条纹。加速坩埚旋转技术(ACRT)是一种搅拌技术,旨在减轻条纹,通常用于溶液晶体生长。本文采用傅里叶-勒根德谱谱元素方法研究了ACRT对高温溶液晶体生长方法中浓度均质化的影响,其中选择高斯-拉道点作为涉及原点的元素以避免1 / r r = 0时的奇异性,沿径向的其他元素采用高斯-洛巴托点。傅里叶多项式在方位角方向上应用。时间分割方法用于时间离散化。模拟了六个典型的ACRT模式,并采用标准推导来评估溶液浓度的均一水平。结果,建议了最佳的ACRT模式和时间段。

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  • 作者单位

    Department of Engineering Mechanics. Chongqing University, Chongqing 400044, China;

    Department of Engineering Mechanics. Chongqing University, Chongqing 400044, China,Institute for Materials Research, Tohoku University, Sendai 980-8577. Japan,State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing 400044, China;

    Department of Engineering Mechanics. Chongqing University, Chongqing 400044, China;

    Department of Engineering Mechanics. Chongqing University, Chongqing 400044, China;

    Department of Engineering Mechanics. Chongqing University, Chongqing 400044, China;

    Institute for Materials Research, Tohoku University, Sendai 980-8577. Japan;

    Institute for Materials Research, Tohoku University, Sendai 980-8577. Japan;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    ACRT; Spectral element method; High-temperature solution crystal growth; Numerical simulation;

    机译:ACRT;光谱元素法高温溶液中晶体生长;数值模拟;

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