Semi–Direct Numerical Simulation of a Czochralski Melt Flow on High–Performance Computers

Publication date
2002
Document type
Book part
Author
Enger, Sven
Schäfer, Frank
Durst, Franz
Organisational unit
DOI
URI
ISBN
Conference
3rd Int. FORTWIHR Conf. 2001, High–Performance Scientific and Engineering Computing; Methods, Developmemts, and Applications, Erlangen, Germany, March 12–14, 2001
Series or journal
Lecture Notes in Computational Science and Engineering
Periodical volume
21
Book title
High Performance Scientific And Engineering Computing
First page
201
Last page
212
Peer-reviewed
✅
Part of the university bibliography
Nein
Abstract
The three-dimensional and time-dependent turbulent flow field and heat transfer of the melt in a Czochralski crystal growth process were predicted using an efficient block-structured finite-volume Navier-Stokes solver. From semi-direct numerical simulations, detailed information of instantaneous and time-averaged quantities were obtained. Two different crucible rotation rates were considered,,f2c = ---2 rpm and ---5 rpm, whereas the crystal rotation was kept constant at,f29 = 20 rpm. Exact boundary conditions for the temperature were obtained from experiments. The time-averaged results are discussed and it is shown that, due to velocity and temperature fluctuations underneath the crystal, the growth conditions are superior at higher crucible rotation rates. The main reason for this is the stabilizing effect of the centrifugal forces. Furthermore, it is shown that the boundary layer below the crystal is very thin, so that the influence on the bulk flow is negligible. Rotation will mainly maintain the circular shape of the crystal and ensure the homogeneous distribution of dopants.
Cite as
Enger, S., Schäfer, F., Breuer, M., Durst, F. (2002). Semi-Direct Numerical Simulation of a Czochralski Melt Flow on High-Performance Computers. In: Breuer, M., Durst, F., Zenger, C. (eds) High Performance Scientific And Engineering Computing. Lecture Notes in Computational Science and Engineering, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55919-8_22
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