Hi Jon,


I am continuing a conversation that was started on stack overflow about
charged particle flow in plasmas
<https://stackoverflow.com/questions/66875318/fipy-for-charged-particle-flow/66880022#66880022>.




Where we left off was solving the electrostatic Poisson equation before
trying the transient Poisson equation. Commenting on the importance of
transience raised in stack overflow, describing the transience of the
electric field is indeed important to describe the plasma system of
interest. Code is attached as a .ipynb file and a .py file (whichever one
is more convenient for you).



The current output of the code is an error:

“ValueError: all the input arrays must have same number of dimensions, but
the array at index 0 has 1 dimension(s) and the array at index 2 has 2
dimension(s)”

I am confused why this error comes up, do you have any idea? The equations
stated and fed into FiPy all reduce to scalars, so I don’t understand where
the fault may be.



I am following your suggestion of expressing the Poisson equation in terms
of the electric potential rather than in terms of electric field. I will
update as I make progress.



I really appreciate your help. Let me know if there is any information
missing.



Thanks,

Nabiel


--
Nabiel Hilmy Abuyazid
Graduate Student Researcher, SPEC Lab
Department of Chemical and Biomolecular Engineering
University of Illinois, Urbana-Champaign

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Attachment: fipy charged particle flow.py
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Attachment: fipy charged particle flow.ipynb
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