Volume 3, Issue 4
A Numerical Investigation for a Model of the Solid-gas Phase in a Crystal Growth Apparatus

Jürgen Geiser

DOI:

Commun. Comput. Phys., 3 (2008), pp. 913-934.

Published online: 2008-03

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  • Abstract

We present discretization and solver methods for a model of the solid-gas phase in a crystal growth apparatus. The model equations are coupled Eulerian and heat-transfer equations with flux boundary conditions. For a more detailed discussion we consider simpler equations and presenttime-and space-decompositionmethods as solver methods to decouple the multi-physics processes. We present the error analysis for the discretization and solver methods. Numerical experiments are performed for the Eulerian and heat-transfer equation using decomposition methods. We present a real-life application of a crystal growth apparatus, based on underlying stationary heat conduction. Finally we discuss further error analysis and application to a more complex model of crystal growth.


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@Article{CiCP-3-913, author = {Jürgen Geiser}, title = {A Numerical Investigation for a Model of the Solid-gas Phase in a Crystal Growth Apparatus}, journal = {Communications in Computational Physics}, year = {2008}, volume = {3}, number = {4}, pages = {913--934}, abstract = {

We present discretization and solver methods for a model of the solid-gas phase in a crystal growth apparatus. The model equations are coupled Eulerian and heat-transfer equations with flux boundary conditions. For a more detailed discussion we consider simpler equations and presenttime-and space-decompositionmethods as solver methods to decouple the multi-physics processes. We present the error analysis for the discretization and solver methods. Numerical experiments are performed for the Eulerian and heat-transfer equation using decomposition methods. We present a real-life application of a crystal growth apparatus, based on underlying stationary heat conduction. Finally we discuss further error analysis and application to a more complex model of crystal growth.


}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7881.html} }
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