Numerical 3D study of FZ growth: dependence on growth parameters and melt instability

Thermocapillary instabilities in a laterally heated liquid bridge with end wall rotation

“…50 For Re ¼ 0 and Ma ¼ 30, the eigenmodes A 2 (critical), B 2 , C 1 , C 2 , D 2 are stationary so that the angular phase velocity of the eigenmode is zero. The complex-conjugate pair A 1 , B 1 is associated with a non-zero frequency and corresponds to two traveling waves propagating with angular phase velocities of 19.9 at Ma ¼ 35.2 in the positive and negative azimuthal directions, respectively.…”

Three-dimensional simulation of heat flow, segregation, and zone shape in floating-zone silicon growth under axial and transversal magnetic fields

“…Several 3D simulations were reported as well [8], but the phase boundaries were not taken into account. Recently, a 3D simulation of time-dependent melt convection was carried out by Ratnieks et al [9] based on a zone shape from their 2D selfconsistent model [7]. The coupling of timedependent convection with the growth rate was also reported, where back melting due to oscillatory rotational flow was illustrated.…”

Computer Modelling of Bulk Crystal Growth

“…Two codes specialized for crystal-growth modelling are FEMAG [40] and CrysVUN [41]. Examples of crystal-growth modelling performed using popular general-purpose codes can be found in [58] (CFX4), [65] (FIDAP), [66] (FLUENT), and [67] (CFD-ACE). It is not necessary for users to completely understand the numerical methods used in these codes, but a general understanding will greatly facilitate their correct use.…”