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 present time- and space-decomposition methods 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 = {}, 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 present time- and space-decomposition methods 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} }
TY - JOUR T1 - A Numerical Investigation for a Model of the Solid-Gas Phase in a Crystal Growth Apparatus JO - Communications in Computational Physics VL - 4 SP - 913 EP - 934 PY - 2008 DA - 2008/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7881.html KW - AB -

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 present time- and space-decomposition methods 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.

Jürgen Geiser. (2020). A Numerical Investigation for a Model of the Solid-Gas Phase in a Crystal Growth Apparatus. Communications in Computational Physics. 3 (4). 913-934. doi:
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