CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2000, Vol. 17 ›› Issue (S1): 45-53.DOI: 10.3969/j.issn.1001-246X.2000.01.009

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INVESTIGATION ON FACETING IN DIRECTIONAL GROWTH OF GARNETS FROM ITS MELT USING FINITE ELEMENT METHOD

LIU Yong-cai1,2, CHEN Wan-chun1, Simon Brandon3, WU Li-jun1   

  1. 1. Institute of Physics, Chinese Academy of Sciences, Beijing, 100080, China;
    2. School of Chemical Engineering, Tianjin University, Tianjin, 300072, China;
    3. Dept. of Chemical Engineering, Technion-Israel Institute of Technology, Israel
  • Received:1999-06-17 Revised:1999-08-26 Online:2000-12-25 Published:2000-12-25

Abstract: A Finite Element algorithm, based on boundary conformal mapping techniques, is developed and applied to investigate the effect of kinetics on crystal growth of garnets from the melt. The anisotropic interfacial kinetic model given here can lead to the formation of facets along the melt/crystal interface. The influence of the maximum deviation angle θmax in the kinetic model on the interface shape and calculation errors is vestigated. An efficient method to reduce the calculation error is also given, i. e. taking into account the surface tension effects in the model equations.

Key words: finite element method, faceting, calculation errors, surface tension, melt growth

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