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晶体生长模拟软件FEMAG之SimulationofCrystalGrowthAnalysisofMeltFlowTransients..docx

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晶体生长模拟软件FEMAG之SimulationofCrystalGrowthAnalysisofMeltFlowTransients.

晶体生长模拟软件FEMAG之Dynamic Simulation of the Entire Crystal Growth Process: Multi-Scale Analysis of Melt Flow TransientsV. Regnier, L. Wu, B. Delsaute,F. Bioul, N. Van den Bogaert, F. DupretCESAME, Université catholique de Louvain, E-mail: fd@mema.ucl.ac.beAbstractThis paper investigates the transient melt flow evolution during a complete Czochralski crystal growth process. Two basic time scales are considered. The short scale concerns the basic transients associated with flow oscillations at different process stages. Accurate understanding of the flow mechanisms at this scale is required to develop an average axisymmetric flow model for complete dynamic simulations. The long time scale is associated with the transients caused by the slower system evolution occurring during the complete growth process. In order to focus on the fundamental effects governing the flow, a model problem is considered where the liquid is placed into a possibly rotating container while a disk of smaller diameter rotates on its top surface. Both the container and the disk are isothermal. Several transient effects are investigated including the effect of disk radius increase or decrease, and abrupt changes of disk or container temperature or rotation rate.Introduction: dynamic modeling of crystal growth by means of the FEMAG softwareThere is increasing demand today for robust, reliable and user-friendly software to model bulk growth techniques such as the Czochralski (Cz), Liquid Encapsulated Czochralski (LEC), Floating Zone (FZ) and Vertical Bridgman (VB) processes. The aim is to help predict, design and control the growth processes, and to better understand the factors affecting crystal quality. However, the growth techniques are more and more complex, and optimization can be achieved only by use of suitable numerical modeling that accounts for the severely non-linear physical phenomena involved as well as for the high system thermal inertia. The resulting problem is coupled, global, nonlinear