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<p>Hi,<br>
</p>
<p>We have implemented the dune-curvedsurfacegrid module that could be used for a non-linear transformation of any element type. It is in a development-state, but could already be used. (It is not only for surface grids, but mainly applied to such problems)
</p>
<p><br>
</p>
<p>See </p>
<p><a href="https://gitlab.mn.tu-dresden.de/iwr/dune-curvedsurfacegrid">https://gitlab.mn.tu-dresden.de/iwr/dune-curvedsurfacegrid</a> </p>
<p><br>
</p>
<p>You need also the curvedgeometry module from </p>
<p><a href="https://gitlab.mn.tu-dresden.de/spraetor/dune-curvedgeometry">https://gitlab.mn.tu-dresden.de/spraetor/dune-curvedgeometry</a> <br>
</p>
<p><br>
</p>
<p>Then it's like what Andreas said. Take a regular grid and transform it. For tubes or something like that you may need to make your grid periodic.</p>
<p><br>
</p>
<p>Best,<br>
Simon</p>
<p><br>
</p>
<p><br>
</p>
<p>---<br>
</p>
<div id="Signature">
<div name="divtagdefaultwrapper" style="font-family:Calibri,Arial,Helvetica,sans-serif; font-size:; margin:0">
Dr. Simon Praetorius <br>
Institut für Wissenschaftliches Rechnen <br>
Fakultät Mathematik <br>
Technische Universität Dresden <br>
Tel.: TUD-34432 <br>
Mail: <a class="moz-txt-link-abbreviated" href="mailto:simon.praetorius@tu-dresden.de" id="NoLP">
simon.praetorius@tu-dresden.de</a><br>
Web: <a class="moz-txt-link-abbreviated" href="http://www.math.tu-dresden.de/~spraetor" id="NoLP">
www.math.tu-dresden.de/~spraetor</a></div>
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<div id="divRplyFwdMsg" dir="ltr"><font style="font-size:11pt" face="Calibri, sans-serif" color="#000000"><b>Von:</b> Dune <dune-bounces@lists.dune-project.org> im Auftrag von Dedner, Andreas <A.S.Dedner@warwick.ac.uk><br>
<b>Gesendet:</b> Freitag, 15. Mai 2020 12:26<br>
<b>An:</b> Timo Koch; dune@lists.dune-project.org<br>
<b>Cc:</b> Goncalves Machado, C. (Cintia)<br>
<b>Betreff:</b> Re: [Dune] Radial grid in Dune (curvilinear grids)</font>
<div> </div>
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This looks like something that could be done by combining for example `YASPGrid` with `GeometryGrid` - although perhaps `GeometryGrid` might have to be changed a bit to not linearize the `Geometry` , so it might not work out of the box....
<br>
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<div id="divRplyFwdMsg" dir="ltr"><font style="font-size:11pt" face="Calibri, sans-serif" color="#000000"><b>From:</b> Dune <dune-bounces@lists.dune-project.org> on behalf of Timo Koch <timo.koch@iws.uni-stuttgart.de><br>
<b>Sent:</b> 15 May 2020 11:01<br>
<b>To:</b> dune@lists.dune-project.org <dune@lists.dune-project.org><br>
<b>Cc:</b> Goncalves Machado, C. (Cintia) <cintia.machado@tno.nl><br>
<b>Subject:</b> Re: [Dune] Radial grid in Dune (curvilinear grids)</font>
<div> </div>
</div>
<div class="" style="word-wrap:break-word; line-break:after-white-space">Dear Cintia,
<div class=""><br class="">
</div>
<div class="">there is an implementation in Dumux:</div>
<div class=""><br class="">
</div>
<div class="">* <a href="https://git.iws.uni-stuttgart.de/dumux-repositories/dumux/-/tree/master/examples/1protationsymmetry" class="">https://git.iws.uni-stuttgart.de/dumux-repositories/dumux/-/tree/master/examples%2F1protationsymmetry</a></div>
<div class="">* <a href="https://git.iws.uni-stuttgart.de/dumux-repositories/dumux/-/blob/master/dumux/discretization/rotationsymmetricgridgeometrytraits.hh" class="">https://git.iws.uni-stuttgart.de/dumux-repositories/dumux/-/blob/master/dumux/discretization/rotationsymmetricgridgeometrytraits.hh</a></div>
<div class=""><br class="">
</div>
<div class="">However the implementation is based on the additional finite volume abstraction of Dumux with (sub)control-volumes and (sub)control-volume-faces.</div>
<div class="">Volumes and faces are “extruded” by rotational extrusion based on Guldinus theorem.</div>
<div class=""><br class="">
</div>
<div class="">But maybe it helps at least how you could easily achieve this.</div>
<div class=""><br class="">
</div>
<div class="">Timo</div>
<div class=""><br class="">
</div>
<div class=""><br class="">
<div class="">
<div style="color:rgb(0,0,0); font-family:Helvetica; font-size:12px; font-style:normal; font-weight:normal; letter-spacing:normal; orphans:auto; text-align:start; text-indent:0px; text-transform:none; white-space:normal; widows:auto; word-spacing:0px; text-decoration:none">
-- <br class="">
_________________________________________________</div>
<div style="color:rgb(0,0,0); font-family:Helvetica; font-size:12px; font-style:normal; font-weight:normal; letter-spacing:normal; orphans:auto; text-align:start; text-indent:0px; text-transform:none; white-space:normal; widows:auto; word-spacing:0px; text-decoration:none">
<br class="">
Timo Koch phone: +49 711 685 64676<br class="">
IWS, Universität Stuttgart fax: +49 711 685 60430<br class="">
Pfaffenwaldring 61 <a href="mailto:timo.koch@iws.uni-stuttgart.de" class="">
email: timo.koch@iws.uni-stuttgart.de</a><br class="">
D-70569 Stuttgart url: <a href="http://www.iws.uni-stuttgart.de/en/lh2/" class="">www.iws.uni-stuttgart.de/en/lh2/</a><br class="">
_________________________________________________</div>
</div>
<div><br class="">
<blockquote type="cite" class="">
<div class="">On 15. May 2020, at 11:43, Goncalves Machado, C. (Cintia) <<a href="mailto:cintia.machado@tno.nl" class="">cintia.machado@tno.nl</a>> wrote:</div>
<br class="x_Apple-interchange-newline">
<div class="">
<div class="x_WordSection1" style="font-family:Helvetica; font-size:12px; font-style:normal; font-weight:normal; letter-spacing:normal; text-align:start; text-indent:0px; text-transform:none; white-space:normal; word-spacing:0px; text-decoration:none">
<div class="" style="margin:0cm 0cm 0.0001pt; font-size:11pt; font-family:Calibri,sans-serif">
<span class="" style="color:rgb(32,56,100); background-color:white" lang="EN-US">Dear Dune developers and users,</span></div>
<div class="" style="margin:0cm 0cm 0.0001pt; font-size:11pt; font-family:Calibri,sans-serif">
<span class="" style="color:rgb(32,56,100); background-color:white" lang="EN-US"> </span></div>
<div class="" style="margin:0cm 0cm 0.0001pt; font-size:11pt; font-family:Calibri,sans-serif">
<span class="" style="color:rgb(32,56,100); background-color:white" lang="EN-US">I am working on implemeningt radial grid in OPM-flow and would like to ask if someone has implemented radial grids with cells similar to this:</span></div>
<div class="" style="margin:0cm 0cm 0.0001pt; font-size:11pt; font-family:Calibri,sans-serif">
<span class="" style="color:rgb(32,56,100); background-color:white" lang="EN-US"> </span></div>
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<span class="" style="color:rgb(32,56,100); background-color:white" lang="EN-US">Best regards,</span></div>
<div class="" style="margin:0cm 0cm 0.0001pt; font-size:11pt; font-family:Calibri,sans-serif">
<span class="" style="font-size:10pt; font-family:Consolas; background-color:white" lang="EN-US"> </span></div>
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<span class="" style="font-size:8pt; font-family:Arial,sans-serif" lang="EN-US">Cíntia Gonçalves Machado, PhD<br class="">
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Applied Geosciences</span><span class="" style="color:rgb(31,56,100)" lang="EN-US"></span></div>
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M +31 (0) 627144707<br class="">
E </span><span class="" style="font-size:8pt; font-family:Arial,sans-serif"><a href="mailto:cintia.machado@tno.nl" class="" style="color:rgb(149,79,114); text-decoration:underline"><span class="" style="color:rgb(87,149,195); text-decoration:none" lang="EN-US">cintia.machado@tno.nl</span></a></span><span class="" style="color:rgb(31,56,100)" lang="EN-US"></span></div>
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