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A time-dependent Free molecular Flow study

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Is it possible to do a time dependent simulation incorporating free molecular flow physics in a reasonable amount of time. A stationary study is pretty fast to converge, but the time dependent study takes forever. Is it because of the Clausing-like integral equations present in the model ? I am exploring this because I m trying to simulate deposition in a 100 nm pore under very low pressure conditions and the deposition rate is proportional to the sticking coefficient times the incident flux. I am trying to couple moving mesh physics with free molecular physics. But it seems to be computationally too intensive. Can I use a pseudo-stationary or pseudo-steady state assumption and solve this problem in COMSOL ?

Thank you for your time,
Sanket

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