From a70da97447ca60ac5cf6926037c07bf05baa2346 Mon Sep 17 00:00:00 2001 From: bangerth Date: Thu, 6 Nov 2008 23:33:16 +0000 Subject: [PATCH] Also add the 3d pictures and results. git-svn-id: https://svn.dealii.org/trunk@17502 0785d39b-7218-0410-832d-ea1e28bc413d --- deal.II/examples/step-31/doc/results.dox | 62 ++++++++++++++++++ .../step-31/doc/step-31.3d.solution.00.png | Bin 0 -> 58959 bytes .../step-31/doc/step-31.3d.solution.01.png | Bin 0 -> 60384 bytes .../step-31/doc/step-31.3d.solution.02.png | Bin 0 -> 65433 bytes .../step-31/doc/step-31.3d.solution.03.png | Bin 0 -> 71168 bytes .../step-31/doc/step-31.3d.solution.04.png | Bin 0 -> 77819 bytes .../step-31/doc/step-31.3d.solution.05.png | Bin 0 -> 90633 bytes .../step-31/doc/step-31.3d.solution.06.png | Bin 0 -> 100880 bytes .../step-31/doc/step-31.3d.solution.07.png | Bin 0 -> 107200 bytes .../step-31/doc/step-31.3d.solution.08.png | Bin 0 -> 112965 bytes .../step-31/doc/step-31.3d.solution.09.png | Bin 0 -> 118321 bytes .../step-31/doc/step-31.3d.solution.10.png | Bin 0 -> 122924 bytes 12 files changed, 62 insertions(+) create mode 100644 deal.II/examples/step-31/doc/step-31.3d.solution.00.png create mode 100644 deal.II/examples/step-31/doc/step-31.3d.solution.01.png create mode 100644 deal.II/examples/step-31/doc/step-31.3d.solution.02.png create mode 100644 deal.II/examples/step-31/doc/step-31.3d.solution.03.png create mode 100644 deal.II/examples/step-31/doc/step-31.3d.solution.04.png create mode 100644 deal.II/examples/step-31/doc/step-31.3d.solution.05.png create mode 100644 deal.II/examples/step-31/doc/step-31.3d.solution.06.png create mode 100644 deal.II/examples/step-31/doc/step-31.3d.solution.07.png create mode 100644 deal.II/examples/step-31/doc/step-31.3d.solution.08.png create mode 100644 deal.II/examples/step-31/doc/step-31.3d.solution.09.png create mode 100644 deal.II/examples/step-31/doc/step-31.3d.solution.10.png diff --git a/deal.II/examples/step-31/doc/results.dox b/deal.II/examples/step-31/doc/results.dox index 8e502905f1..4cbc1ea878 100644 --- a/deal.II/examples/step-31/doc/results.dox +++ b/deal.II/examples/step-31/doc/results.dox @@ -150,6 +150,68 @@ adaptive mesh and the flow field at the same time steps: +

Results in 3d

+ +The same thing can of course be done in 3d by changing the template +parameter to the BoussinesqFlowProblem object in main() +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: + + + + + + + + + + + + + + + + + + + + + + +
+ @image html "step-31.3d.solution.00.png" "" width=22% + + @image html "step-31.3d.solution.01.png" "" width=22% + + @image html "step-31.3d.solution.02.png" "" width=22% + + @image html "step-31.3d.solution.03.png" "" width=22% +
+ @image html "step-31.3d.solution.04.png" "" width=22% + + @image html "step-31.3d.solution.05.png" "" width=22% + + @image html "step-31.3d.solution.06.png" "" width=22% + + @image html "step-31.3d.solution.07.png" "" width=22% +
+ @image html "step-31.3d.solution.08.png" "" width=22% + + @image html "step-31.3d.solution.09.png" "" width=22% + + @image html "step-31.3d.solution.10.png" "" width=22% + +
+ +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. +

Numerical experiments to determine optimal parameters

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