Modelling of the influence of residual gravity on the segregation in directional solidification under microgravity

On the accuracy of the interdiffusion measurements at low and moderate Rayleigh numbers. Some computational considerations

“…Under the so-called deterministic translational vibroconvective approach [58,59], the set of equations used can be written in nondimensional form as,…”

Impact of stochastic accelerations on dopant segregation in microgravity semiconductor crystal growth

“…More computational details may be found in Ref. [21] and also in Table 1. The simulation of the stochastic signal for the time-dependent gravity g(t) is based on an adapted integral algorithm [24] for which we have used a pseudorandom number generator first introduced by Marsaglia [25] and later improved by James [26].…”

“…Local equilibrium then implies that the interface is at the melting temperature, moving at a constant velocity v p . Because of the continuous decrease in the melt volume in the ampoules of the characteristic setups of crystal growth in space facilities [21], the computation domain corresponding to the melt is a rectangle of height H and a time dependent length LðtÞ ¼ Lð0ÞÀv p t.…”