The main objective of this book aims at developinga new generation of software product, in order toobtain a fully automatic simulator predicting theentire Czochralski process.Firstly, new efficient, robust and high-quality meshgeneration algorithms for any complex geometry wereimplemented.A Finite Element Navier-Stokes solver based onunstructured meshes was developed. Enhancedturbulence models, together with a generictransformation method to avoid negative k whensolving the turbulent kinetic energy equation by theNewton-Raphson method were implemented. Moreover,mathematical models governing the gas convection andoxygen distribution in the silicon melt weredeveloped, and numerical methods to solve thesegoverning equations were implemented, whileappropriate numerical approaches to capture the wallshear stress along the meniscus experienced by thesilicon melt were investigated.Numerical experiments devoted to investigate theindustrial Czochralski process are presented.Comparisons of the simulation results with literatureand experimental observations are also presented, andconclusions are drawn based on these results andobservations.
Modeling and Simulation of Czochralski Bulk Crystal Growth Process
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The main objective of this book aims at developinga new generation of software product, in order toobtain a fully automatic simulator predicting theentire Czochralski process.Firstly, new efficient, robust and high-quality meshgeneration algorithms for any complex geometry wereimplemented.A Finite Element Navier-Stokes solver based onunstructured meshes was developed. Enhancedturbulence models, together with a generictransformation method to avoid negative k whensolving the turbulent kinetic energy equation by theNewton-Raphson method were implemented. Moreover,mathematical models governing the gas convection andoxygen distribution in the silicon melt weredeveloped, and numerical methods to solve thesegoverning equations were implemented, whileappropriate numerical approaches to capture the wallshear stress along the meniscus experienced by thesilicon melt were investigated.Numerical experiments devoted to investigate theindustrial Czochralski process are presented.Comparisons of the simulation results with literatureand experimental observations are also presented, andconclusions are drawn based on these results andobservations.
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Crystals are indispensable in technology, nature, and our daily lives. For example, cooking uses many kinds of crystallized products, such as salt, sugar, and fat crystals; electronic devices contain...
This volume contains recent developments in the field of thermoelectric with a focus on materials research, including inorganic, polymer and composite materials as well as different approaches...
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