<html><head><style type='text/css'>p { margin: 0; }</style></head><body><div style='font-family: arial,helvetica,sans-serif; font-size: 12pt; color: #000000'>This is exactly what I mean, but I was talking about 3D.<br>Anyway, from what you're saying I cannot understand the use of GeometryGrid.<br>If I can move nodes using a deformation function and I can refine locally (in Dune style), the "moved" situation is quite common.<br>Moreover, in this case I'd sum over the 5 intersections of the right element asking for normals and intersections length, what is the relevance of being a cube for the element? Intersections are "cube".<br>I can agree if you speak about the volume of the right element.<br>Who's Z?? You meant Y?<br>Thanks,<br><br>Marco<br><br><br><div><span name="x"></span>--<br>-----------------------------------------------<br>Marco Cisternino, PhD<br>Software Developer<br>OPTIMAD Engineering s.r.l.<br>Via Giacinto Collegno 18<br>10143 Torino - Italy<br>www.optimad.it<br>marco.cisternino@optimad.it<br>+39 011 19719782<br>-----------------------------------------------<span name="x"></span><br></div><br><hr id="zwchr"><div style="color:#000;font-weight:normal;font-style:normal;text-decoration:none;font-family:Helvetica,Arial,sans-serif;font-size:12pt;"><b>Da: </b>"Andreas Dedner" <a.s.dedner@warwick.ac.uk><br><b>A: </b>"Marco Cisternino" <marco.cisternino@optimad.it><br><b>Cc: </b>dune@dune-project.org<br><b>Inviato: </b>Martedì, 24 febbraio 2015 18:00:30<br><b>Oggetto: </b>Re: [Dune] parametrized AMR and cell divergence<br><br>
So you have the following situation<br>
Original Moved<br>
X-----------A----------------X
X--------A------------------X <br>
| | |
| \ |<br>
| | |
| \ |<br>
|------------Y |
|-----------Y |<br>
| | |
| / |<br>
| | | |
/ |<br>
X-----------B----------------X
X-------B-------------------X<br>
Perhaps somebody else can add his thoughts but the right element
after<br>
movement is not a cube any more so it still will have the straight
edge<br>
between AB and your grid elements would not be non overlapping. That<br>
is not allowed in DUNE. <br>
<br>
The right element does have 5 intersections and I guess two of those
could be between AZ and ZB... But the main problem is the non DUNE
style grid.<br>
<br>
Andreas<br>
<br>
<div class="moz-cite-prefix">On 24/02/15 16:35, Marco Cisternino
wrote:<br>
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<div style="font-family: arial,helvetica,sans-serif; font-size:
12pt; color: #000000">Absolutely non conforming.<br>
I know I have a hanging node, but I cannot understand what you
say: why do you talk about coarse and fine intersections??<br>
If I move a hanging node I'm moving 4 intersections, isn't it?
And my coarse element has 9 intersections, right?<br>
Through its intersections the coarse element knows about the
hanging node or not?<br>
If not I cannot imagine the use of intersections.<br>
<br>
Thanks again.<br>
Marco<br>
<br>
<hr id="zwchr">
<div style="color:#000;font-weight:normal;font-style:normal;text-decoration:none;font-family:Helvetica,Arial,sans-serif;font-size:12pt;"><b>Da:
</b>"Andreas Dedner" <a class="moz-txt-link-rfc2396E" href="mailto:a.s.dedner@warwick.ac.uk" target="_blank"><a.s.dedner@warwick.ac.uk></a><br>
<b>A: </b>"Marco Cisternino"
<a class="moz-txt-link-rfc2396E" href="mailto:marco.cisternino@optimad.it" target="_blank"><marco.cisternino@optimad.it></a>, <a class="moz-txt-link-abbreviated" href="mailto:dune@dune-project.org" target="_blank">dune@dune-project.org</a><br>
<b>Inviato: </b>Martedì, 24 febbraio 2015 16:55:38<br>
<b>Oggetto: </b>Re: [Dune] parametrized AMR and cell
divergence<br>
<br>
Hi.<br>
Conforming or non conforming? If non conforming you have a
hanging<br>
node and if you move coarse and fine intersections will not
match (the<br>
coarse grid element does not know about the hanging nor where
it<br>
is). Could that be your problem?<br>
Best<br>
Andreas<br>
<br>
<br>
<div class="moz-cite-prefix">On 24/02/15 15:39, Marco
Cisternino wrote:<br>
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<div style="font-family: arial,helvetica,sans-serif;
font-size: 12pt; color: #000000">Hi Andreas, thank you for
your reply.<br>
I'm using GeometryGrid and ALU together. I provide ALU
with a DiscreteDeformationFunction (my coarse element
parametrization). Any time a new point appears in the mesh
after a refinement I move that point using the
DiscreteDeformationFunction.<br>
The problem appears for local refinement. On the other
hand, if I globally refine the mesh I have no problem
about the divergence of the cells: it is zero everywhere.<br>
However, if I refine only a bunch of cells, then the
coarse ones, sharing intersection with the fine ones, have
non-zero divergence.<br>
I'm doing all this using the following methods:<br>
intersection centerOuterUnitNormal<br>
and codimension 1 volume method (choosing the element face
corresponding to the intersection)<br>
I hope it is clearer.<br>
Thanks,<br>
<br>
Marco<br>
<br>
<br>
<hr id="zwchr">
<div style="color:#000;font-weight:normal;font-style:normal;text-decoration:none;font-family:Helvetica,Arial,sans-serif;font-size:12pt;"><b>Da:
</b>"Andreas Dedner" <a class="moz-txt-link-rfc2396E" href="mailto:a.s.dedner@warwick.ac.uk" target="_blank"><a.s.dedner@warwick.ac.uk></a><br>
<b>A: </b><a class="moz-txt-link-abbreviated" href="mailto:dune@dune-project.org" target="_blank">dune@dune-project.org</a><br>
<b>Inviato: </b>Martedì, 24 febbraio 2015 12:14:33<br>
<b>Oggetto: </b>Re: [Dune] parametrized AMR and cell
divergence<br>
<br>
I'm not quite sure I understand the question. Are you
seeing problems<br>
when refining the grid using ALU's standard globalRefine
method or do the problems<br>
only appear when you use your local parametrization and
after moving nodes around<br>
(I'm not quite clear how you do that with ALU....).<br>
Andreas<br>
<br>
<br>
<div class="moz-cite-prefix">On 24/02/15 11:00, Marco
Cisternino wrote:<br>
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<div style="font-family: arial,helvetica,sans-serif;
font-size: 12pt; color: #000000">Good morning,<br>
I would like to ask duners about deformed AMR.<br>
I'm working with body fitted mesh and ALUGrid.<br>
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<blockquote cite="mid:637362868.4442210.1424775619676.JavaMail.root@optimad.it">
<div style="font-family: arial,helvetica,sans-serif;
font-size: 12pt; color: #000000">In order to refine
my mesh I compute a local parametrization for every
coarse element, then I refine the mesh moving new
nodes using my parametrization.<br>
Therefore I compute the cell divergence summing over
the cell intersection<br>
normal . flux * area<br>
where intersection normals and areas are computed by
Dune methods centerUnitNormal and volume(this for a
face), while flux is (1,1,1) everywhere.<br>
I expect 0 over the entire mesh and this is true on
the coarse grid, but for a refined grid this is not
true for coarse cells sharing intersections with
finer cells.<br>
Does anyone see something like this? And is there a
cure? Am I doing something wrong?<br>
<br>
Thanks for any hint.<br>
Bests,<br>
<br>
Marco<br>
<br>
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