Finite element modeling of 3D fluid dynamics in crystal growth systems

We describe massively parallel finite element computations of fluid dynamic s for several crystal growth systems. Examples are presented of how large-s cale 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 an d interfacial phenomena - the transport of momentum, heat, and mass coupled with solidification kinetics. Modern finite element methods show great pot ential to provide the understanding needed to optimize these processes.