Length-Scales and Generations of Modeling Methodologies for Predicting the Evolution of the Solidification Structure.- Deterministic Macro-Modeling: Transport of Energy, Momentum, Species, Mass, and Hydrodynamics During the Solidification Processes.- Deterministic Micro-Modeling: Mathematical Models for Evolution of Denritic and Eutectic Phases.- Stochastic/Mesoscopic Modeling of Solidification Structure.- Solute Transport Effects on Macrosegregation and Solidification Structure.- Micro-Solute Transport Effects on Microstructure and Micro Segregation.- Probabilistic (Monte Carlo) Modeling of Solidification Structure.- Modeling and Simulation of Solidification Structure in Shaped and Centrifugal Castings.- Modeling and Simulation of Ingot Solidification Structure in Primary and Secondary Remelt Processes.- Practical Techniques with Simulation Examples for Controlling the Solidification Structure.
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