]> https://gitweb.dealii.org/ - dealii.git/commitdiff
Also add the 3d pictures and results.
authorWolfgang Bangerth <bangerth@math.tamu.edu>
Thu, 6 Nov 2008 23:33:16 +0000 (23:33 +0000)
committerWolfgang Bangerth <bangerth@math.tamu.edu>
Thu, 6 Nov 2008 23:33:16 +0000 (23:33 +0000)
git-svn-id: https://svn.dealii.org/trunk@17502 0785d39b-7218-0410-832d-ea1e28bc413d

deal.II/examples/step-31/doc/results.dox

index 8e502905f10de42ff4692451bf30bea61aa260aa..4cbc1ea878dddcdbe9ec2c01b69046295be852a1 100644 (file)
@@ -150,6 +150,68 @@ adaptive mesh and the flow field at the same time steps:
 </table>
 
 
+<h3> Results in 3d </h3>
+
+The same thing can of course be done in 3d by changing the template
+parameter to the BoussinesqFlowProblem object in <code>main()</code>
+from 2 to 3. Visualizing the temperature isocontours at time steps 0,
+50, 100, 150, 200, 300, 400, 500, 600, 700, and 800 yields the
+following plots:
+
+<table align="center" border="1" cellspacing="3" cellpadding="3">
+  <tr>
+    <td>
+        @image html "step-31.3d.solution.00.png" "" width=22%
+    </td>
+    <td>
+        @image html "step-31.3d.solution.01.png" "" width=22%
+    </td>
+    <td>
+        @image html "step-31.3d.solution.02.png" "" width=22%
+    </td>
+    <td>
+        @image html "step-31.3d.solution.03.png" "" width=22%
+    </td>
+  </tr>
+
+  <tr>
+    <td>
+        @image html "step-31.3d.solution.04.png" "" width=22%
+    </td>
+    <td>
+        @image html "step-31.3d.solution.05.png" "" width=22%
+    </td>
+    <td>
+        @image html "step-31.3d.solution.06.png" "" width=22%
+    </td>
+    <td>
+        @image html "step-31.3d.solution.07.png" "" width=22%
+    </td>
+  </tr>
+
+  <tr>
+    <td>
+        @image html "step-31.3d.solution.08.png" "" width=22%
+    </td>
+    <td>
+        @image html "step-31.3d.solution.09.png" "" width=22%
+    </td>
+    <td>
+        @image html "step-31.3d.solution.10.png" "" width=22%
+    </td>
+    <td>
+    </td>
+  </tr>
+</table>
+
+That the first picture looks like three hedgehogs stems from
+the fact that our scheme essentially projects the source times the
+first time step size onto the mesh to obtain the temperature field in
+the first time step. Since the source function is discontinuous, we
+need to expect over- and undershoots from this project. This is in
+fact what happens (it's easier to check this in 2d) and leads to the
+crumpled appearance of the isosurfaces.
+
 
 
 <h3> Numerical experiments to determine optimal parameters </h3>

In the beginning the Universe was created. This has made a lot of people very angry and has been widely regarded as a bad move.

Douglas Adams


Typeset in Trocchi and Trocchi Bold Sans Serif.