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MODELING OF TURBULENT MELT CONVECTION DURING CZOCHRALSKI BULK CRYSTAL GROWTH

Vladimir V. Kalaev
Numerical Simulation Department, loffe Physical Technical Institute 26 Polytekhnicheskaya, 194021, St.Petersburg, Russia

Alexander I. Zhmakin
Softimpact Ltd., P.O. 83, 194156; and Ioffe Physical Technical Institute, Russian Academy of Sciences, St. Petersburg, Russia

Evgueni M. Smirnov
Department of Hydro- and Aerodynamics at the Saint-Petersburg Polytechnic University, Polytechnicheskaya, 29, St. Petersburg, 195251, Russia

Abstrakt

We present the results of numerical simulation of 3D unsteady turbulent melt convection during Czochralski (CZ) silicon crystal growth. A model combining the Large Eddy Simulation (LES) and Reynolds-averaged approaches has been developed to predict the contribution of unresolved turbulent motion. The model is examined for different growth conditions in an industrial CZ configuration. Data illustrating instantaneous and time-averaged behavior of the melt are presented and compared to experimental observations. Thermal fluctuations in the melt are analyzed with respect to spectral characteristics and compared to the temperature measurements performed by thermocouples and an optical sensor.