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<p class="MsoNormal">You could run the results through the point to cell filter, but that would give you the same answer as the gradient of unstructured dataset filter with the faster approximation option on.<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">-Ken<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
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<p class="MsoNormal"><b><span style="color:black">From: </span></b><span style="color:black">"Zenker, Dr. Matthias" <Matthias.Zenker@erbe-med.com><br>
<b>Date: </b>Tuesday, September 27, 2016 at 8:28 AM<br>
<b>To: </b>"Moreland, Kenneth" <kmorel@sandia.gov>, "paraview@paraview.org" <paraview@paraview.org><br>
<b>Subject: </b>[EXTERNAL] AW: [Paraview] Gradient filter: boundary effects</span><span style="font-size:12.0pt;color:black"><o:p></o:p></span></p>
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<p class="MsoNormal">Hi Kenneth,<o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
<p class="MsoNormal">thank you for the quick answer!<o:p></o:p></p>
<p class="MsoNormal">So it seems not that trivial to calculate an electrical field between a rod and a plane given the potential…<o:p></o:p></p>
<p class="MsoNormal">The compute derivatives filter does not give me the problem at the boundary indeed. Instead it gives a value per cell, not per node, which does not look nice.<o:p></o:p></p>
<p class="MsoNormal">Is there a friendly filter or switch which would give me the smoothed surface representation back?<o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
<p class="MsoNormal">Thanks,<o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
<p class="MsoNormal">Matthias<o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
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<p class="MsoNormal"><b><span style="font-size:10.0pt;font-family:Tahoma">Von:</span></b><span style="font-size:10.0pt;font-family:Tahoma"> Moreland, Kenneth [mailto:kmorel@sandia.gov]
<br>
<b>Gesendet:</b> Dienstag, 27. September 2016 14:14<br>
<b>An:</b> Zenker, Dr. Matthias; paraview@paraview.org<br>
<b>Betreff:</b> Re: [Paraview] Gradient filter: boundary effects</span><o:p></o:p></p>
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<p class="MsoNormal"> <o:p></o:p></p>
<p class="MsoNormal">Matthias,<o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
<p class="MsoNormal">The gradient is estimated with finite differences. Thus, it is not wholly unexpected that there could be differences at the boundaries. However, the algorithm does
<i>not</i> assume zero for adjacent cells at the boundaries.<o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
<p class="MsoNormal">The way the unstructured gradient filter works is that it computes the local gradient in each cell at each of the cell’s points. Then for every point it averages the gradient from all incident cells at that point. (If you have the Faster
Approximation option on, then the filter only computes one gradient per cell in the center and averages those. Faster, but more artifacts, particularly at the edges.)<o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
<p class="MsoNormal">If this averaging is causing you an issue, you might try the Compute Derivatives filter. This does a wholly local operation within each cell, so you should not see any artifacts (unless the field itself has artifacts at the boundaries).<o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
<p class="MsoNormal">-Ken<o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
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<p class="MsoNormal"><b><span style="color:black">From: </span></b><span style="color:black">ParaView <<a href="mailto:paraview-bounces@paraview.org">paraview-bounces@paraview.org</a>> on behalf of "Zenker, Dr. Matthias" <<a href="mailto:Matthias.Zenker@erbe-med.com">Matthias.Zenker@erbe-med.com</a>><br>
<b>Date: </b>Tuesday, September 27, 2016 at 5:45 AM<br>
<b>To: </b>"<a href="mailto:paraview@paraview.org">paraview@paraview.org</a>" <<a href="mailto:paraview@paraview.org">paraview@paraview.org</a>><br>
<b>Subject: </b>[EXTERNAL] [Paraview] Gradient filter: boundary effects</span><o:p></o:p></p>
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<p class="MsoNormal"><span style="font-family:"Times New Roman""> </span><o:p></o:p></p>
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<p class="MsoNormal">Hi,<o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
<p class="MsoNormal">when I use the gradient filter (unstructured dataset), I observe edge effects which are IMO unphysical. For the nodes on the outer boundary of my domain, the gradient magnitude is smaller than I would expect. The behavior is like the filter
tries to use the adjacent nodes to calculate the gradient, and since there are none outside the domain, it assumes zero and finds a lower result.<o:p></o:p></p>
<p class="MsoNormal">If so, I would consider this a bug – is there a fix or workaround?<o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
<p class="MsoNormal">Thanks,<o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
<p class="MsoNormal">Matthias<o:p></o:p></p>
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