Discretisation and Solver Methods for a Model for Solid-Gas-Phase of a Crystal Growth Apparatus.
We present discretisation and solver methods for a model for a solid-gas phase of a crystal growth aparatus. The model-equations are coupled Eulerian- and Heat-transfer-equations with flux-boundary conditions. For more detailed discussion we consider simpler equations and present time- and space-decomposition methods as a solver methods to decouple the multi-physics processes. We present the error-analysis for the discretisation methods and solver methods. Numerical expeeriments are done for the eulerian- and heat-transfer-equation with decomposition methods. We present a real-life application of a crystal growth apparatus, based on the underlying stationary heat conduction. Finally we discuss the further works in the error-analysis and the application to a more complex model of crystal growth.
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