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what is the numerical
simulation?
what is the numerical
simulation used for?
what are the differences
with experiments?
what do you usually find in
a numerical simulation tool?
how to use the numerical
simulation?
how to optimally use your
simulation tool?
NUMERICAL SIMULATION CRYSTAL PULLING EXPERIMENT
Quick and cheap. Time consuming and expensive.
A simulation time varies from a few minutes to hours depending on the type of simulation. A crystal growth takes some hours to few days.
Requires only a computer.   Requires specific hardware and material: adaptable furnace, quartz in quantity, gas, poly-silicon raw, etc.
Provides a detailed view of the process everywhere and at every growth stage.   Provides a restricted view only.
The inaccuracy of some material properties is a difficulty.   The reproducibility of a given growth quality is a difficulty.
Based on a mathematical model of the crystal growth process that includes assumptions and approximations.  

The numerical simulation complements the crystal pulling experiments :
  • in a first stage, the crystal pulling experiments are carried out to tune the numerical simulation parameters.
  • in a second stage, the numerical simulation is used to determine the optimal crystal growth process parameters.
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