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Time-Dependent Three-Dimensional Simulation of the Turbulent Flow and Heat Transfer in Czochralski Crystal Growth Including the Three-Phase Boundary Movement

In: High Performance Computing in Science and Engineering '10

Author

Listed:
  • A. Raufeisen

    (University of Applied Sciences Nuremberg, Faculty of Process Engineering (VT))

  • M. Breuer

    (Helmut Schmidt University Hamburg, Department of Fluid Mechanics (PfS))

  • T. Botsch

    (University of Applied Sciences Nuremberg, Faculty of Process Engineering (VT))

  • A. Delgado

    (University of Erlangen-Nuremberg, Institute of Fluid Mechanics (LSTM))

Abstract

In the literature, numerical computations of the Czochralski process for crystal growth are conducted using a quasi-steady state assumption for the crystallization neglecting time-dependent effects. In the present work, an algorithm is developed, which allows to calculate the transient behavior of the crystallization interface including the movement of the three-phase boundary and the free surface of the melt. Thus, in conjunction with the computation of the turbulent melt flow and heat transfer, more realistic predictions of the crystal growth can be achieved. Test cases show that with the algorithm, realistic phenomena like crystal diameter increase and decrease during the growth process could be reproduced.

Suggested Citation

  • A. Raufeisen & M. Breuer & T. Botsch & A. Delgado, 2011. "Time-Dependent Three-Dimensional Simulation of the Turbulent Flow and Heat Transfer in Czochralski Crystal Growth Including the Three-Phase Boundary Movement," Springer Books, in: Wolfgang E. Nagel & Dietmar B. Kröner & Michael M. Resch (ed.), High Performance Computing in Science and Engineering '10, pages 353-367, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-15748-6_27
    DOI: 10.1007/978-3-642-15748-6_27
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