Corbin,

if you only ever need the DoF mapping periodic
DoFTools::make_periodicity_constrainst (
https://www.dealii.org/current/doxygen/deal.II/namespaceDoFTools.html#a03324e6e060c6a55191b2c60ad871eab)
sound like the right tool for you to use.
Just create a separate AffineConstraints object to be filled and hand it to
that function. Then, you can loop through the filled object to either use
it as a map directly or you can create a separate data structure. Note that
the constraints might not be in the order (bottom -> top) you need them to
be. So you might need to adjust that yourself.

Best,
Daniel


Am Do., 29. Apr. 2021 um 04:48 Uhr schrieb Corbin Foucart <
[email protected]>:

> Hi all,
>
> I'm looking to map DoF from the bottom of an extruded volumetric mesh to
> the corresponding DOF on the surface of the mesh. Right now, I'm saving the
> cell "number"/ID of each cell in the bottom layer of the volume mesh, and
> want to match it with a surface cell by comparing their centers
>
>    - I could loop over all the volume cells until I find the one matching
>    the surface cell center, but as I have the cell numbers, I would rather
>    access the cell center from the cell id (which looks to me like an unsigned
>    int)
>    - something like get_cell(cell_id)->center  --- is this possible?
>    - Alternatively, I was thinking that a periodic boundary condition
>    linking the bottom of the volume mesh with the top might be able to achieve
>    the same thing, but I wasn't sure how to go about setting it up
>
> Any pointers would be appreciated!
> Corbin
>
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