“…Complete simulation of the growth system to take into account all the processes of heat transfer, including radiation losses, convective effects in the gas phase, melt flow and mixing, distributed in time and in full three-dimensional space remains an ambitious task. However, numerical computational packages such as CrysVUn ++ have been developed [26] that offer a time-dependent and 2-dimensional simulation of a growth environment. This has proved particularly useful for the physically much simpler arrangement found in a VGF furnace and has been demonstrated to be a valuable tool when used in conjunction with furnace design.…”