Work package number and title:

6. Development and verification of problem-oriented numerical models of turbulence for the Czochralski large single crystal growth systems with static and alternating magnetic fields

Objectives:

1. The group in mathematical modelling of crystal growth at Latvia University has a wide experience in calculating turbulent flows in Czochralski large single crystal growth systems with static and alternating magnetic fields by using various low-Re variants of k-ε model. With used turbulence models the main features of such flows can be predicted in general satisfactory. However, the melt flow in CZ Systems, especially in region under the crystal that is very important for crystal growth quality, have some specific features that can not be described sufficiently precise with presently available axisymmetric k-ε models. On the other hand the large eddy simulation for industrial applications is impracticable. For the further development of present low-Re variants of k-e model following aspects must be investigated: a) specific features of turbulence in rotating systems; b) buoyancy generated turbulence; c) direct influence of magnetic fields on turbulence; d) modelling of large time scale instabilities with axisymmetric steady state models. Aim of this package is the development and verification of problem oriented axisymmetric numerical model of turbulence for the Czochralski large single crystal growth systems with static and alternating magnetic fields.