The main objective of this book aims at developing a new generation
of software product, in order to obtain a fully automatic simulator
predicting the entire Czochralski process. Firstly, new efficient,
robust and high-quality mesh generation algorithms for any complex
geometry were implemented. A Finite Element Navier-Stokes solver
based on unstructured meshes was developed. Enhanced turbulence
models, together with a generic transformation method to avoid
negative k when solving the turbulent kinetic energy equation by
the Newton-Raphson method were implemented. Moreover, mathematical
models governing the gas convection and oxygen distribution in the
silicon melt were developed, and numerical methods to solve these
governing equations were implemented, while appropriate numerical
approaches to capture the wall shear stress along the meniscus
experienced by the silicon melt were investigated. Numerical
experiments devoted to investigate the industrial Czochralski
process are presented. Comparisons of the simulation results with
literature and experimental observations are also presented, and
conclusions are drawn based on these results and observations.
General
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