We carried out calculations to investigate the influence of tilt of crucibles on the melt-crystal interface shape and fields of temperature and velocity of the melt and/or crystal by three-dimensional global and melt-crystal analyses. It was found that flow velocity was larger in the case of a fixed boundary condition of edge of the interface than that in the case of a relaxed condition. Furthermore, deflection of the interface with a fixed boundary condition was smaller than that without the fixed boundary condition. These results indicate that we should use three-dimensional global analysis with a relaxed boundary condition to investigate the influence of tilt of crucibles on the interface shape and flow velocity. (C) 2007 Elsevier B.V. All rights reserved.