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Finite Element Modeling of 3D Fluid Dynamics in Crystal Growth Systems
Authors:JEFFREY J. DERBY  YONG-IL KWON  J. CARLOS ROJO  BHUSHAN VARTAK  ANDREW YECKEL
Affiliation:Department of Chemical Engineering and Materials Science , Army UPC Research Centre and Minnesota Supercomputer Institute. University of Minnesota , Minneapolis , MM , 55455-0132 , USA
Abstract:We describe massively parallel finite element compulations of fluid dynamics for several crystal growth systems. Examples are presented of how large-scale numerical simulations have been used to gain insights to the workings of several processes, specifically the melt growth of oxide crystals by the Czochralski process and the solution growth of nonlinear optical crystals. These systems are characterized by nonlinear interactions between field and interfacial phenomena-the transport of momentum, heat, and mass coupled with solidification kinetics. Modern finite element methods show great potential to provide the understanding needed to optimize these processes.
Keywords:Crystal growth  fluid mechanics  heat transfer  mass transfer  finite element model
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