Simulation of Industrial Crystal Growth by the Vertical Bridgman Method

Gerhard Dziuk, Stefan Boschert, Alfred Schmidt, Kunibert G. Siebert, Eberhard Bänsch, Klaus-Werner Benz and Thomas Kaiser
Additional contact information
Gerhard Dziuk: Institut für Angewandte Mathematik, Universität Freiburg
Stefan Boschert: Kristallographisches Institut, Universität Freiburg
Alfred Schmidt: Institut für Angewandte Mathematik, Universität Freiburg
Kunibert G. Siebert: Institut für Angewandte Mathematik, Universität Freiburg
Eberhard Bänsch: Zentrum für Technomathematik, Universität Bremen
Klaus-Werner Benz: Kristallographisches Institut, Universität Freiburg
Thomas Kaiser: Kristallographisches Institut, Universität Freiburg

A chapter in Mathematics — Key Technology for the Future, 2003, pp 315-330 from Springer

Abstract: Abstract Single crystals of Cadmium-Zinc-Telluride are used as a substrate material for the production of infrared detectors and are usually grown by the vertical Bridgman method. We present a simulation of the whole growth process in two steps: In the first step, the (stationary) heat transport in the furnace is modeled and calculated for different positions of the ampoule. This provides information about the most important parameter during this process: the temperature distribution in furnace and ampoule. The obtained temperatures are then used in the second step as boundary conditions for the (time dependent) simulation of temperature and convection in the ampoule. Only the use of adaptive finite element methods allows an efficient numerical simulation of the moving phase boundary, the convection in the melt and the temperature distribution in melt and crystal. Numerical results are presented for both furnace and ampoule simulations.

Keywords: Posteriori Error; Time Step Size; Stefan Problem; Finite Element Space; Posteriori Error Estimator (search for similar items in EconPapers)
Date: 2003
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55753-8_26

Ordering information: This item can be ordered from
http://www.springer.com/9783642557538

DOI: 10.1007/978-3-642-55753-8_26

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().