NUMERICAL-SIMULATION OF A 3D CZOCHRALSKI-MELT FLOW BY A FINITE VOLUME MULTIGRID-ALGORITHM

The flow in a model Czochralski-apparatus as investigated by Jones [J. Crystal Growth 94 (1989) 421] is studied numerically. The numerical method is based on a three-dimensional finite volume multigrid-algorithm with boundary fitted non-orthogonal grids. Although the numerical experiment assumed axisymmetric and steady boundary conditions, most of the characteristic features of the three-dimensional unsteady flow were obtained. Especially a precessing wave pattern on the free surface with four bulges has been reproduced. The calculation showed that the numerical grid must be fine enough in order to produce a reasonably accurate prediction of the unsteady flow in a Czochralski arrangement.