[ET Trac] [Einstein Toolkit] #1222: Reduction weight for periodic domains.
Einstein Toolkit
trac-noreply at einsteintoolkit.org
Wed Jan 16 08:51:29 CST 2013
#1222: Reduction weight for periodic domains.
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Reporter: bentivegna | Owner: eschnett
Type: defect | Status: new
Priority: minor | Milestone:
Component: Carpet | Version: development version
Resolution: | Keywords:
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Comment (by eschnett):
When vertex centering is used, then each of the boundary points
contributes with weight 1/2 to the reduction, as explained above. If I
interpret the patch correctly, then it essentially shifts the domain by
1/2 grid point in the periodic directions, so that one boundary point
contributes with weight 1 and the other with weight 0. Given that one
boundary point has a shiftout of 0 and the other has a shiftout of 1, this
will then use exactly the interior points and ignore all points set by the
periodic boundary condition.
I wonder what this domain-shifting does when several refinement levels are
used, since each level would be shifted by a different amount, depending
on the grid spacing. With many refinement levels, there can be many finest
grid points in the region where the coarsest grid has been shifted.
Another way of obtaining the same effect would be to use cell-centred
refinement. In this case, there are no grid cells with weight 1/2; all
cells have either weight 0 or weight 1.
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Ticket URL: <https://trac.einsteintoolkit.org/ticket/1222#comment:1>
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