[cig-commits] commit 2380 by bangerth to /var/svn/dealii/aspect

[dealii.demon at gmail.com]

Revision 2380

Finish the 3d shell section.

A   trunk/aspect/doc/manual/cookbooks/shell_simple_3d/heatflux.png
A   trunk/aspect/doc/manual/cookbooks/shell_simple_3d/velocities.png
U   trunk/aspect/doc/manual/manual.tex
U   trunk/aspect/doc/manual.pdf


http://www.dealii.org/websvn/revision.php?repname=Aspect+Repository&path=%2F&rev=2380&peg=2380

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--- trunk/aspect/doc/manual/manual.tex	2014-03-31 13:22:49 UTC (rev 2379)
+++ trunk/aspect/doc/manual/manual.tex	2014-03-31 14:19:16 UTC (rev 2380)
@@ -4667,6 +4667,7 @@
 \label{fig:simple-shell-3d}
 \end{figure}
 
+\paragraph{The input file.}
 Compared to the input file discussed in the previous section, the number of
 changes is relatively small. However, when taking into account the various
 discussions about which parts of the model were or were not realistic, they go
@@ -4814,16 +4815,67 @@
 \end{lstlisting}
 
 
+\paragraph{Evaluation.}
+Just as in the 2d case above, there are still many things that are wrong from a
+physical perspective in this setup, notably the no-slip boundary conditions at
+the bottom and of course the simplistic material model with its fixed viscosity
+and its neglect for adiabatic heating and compressibility.
+But there are also a number of things that are already order of magnitude
+correct here.
 
-Heat balance:
+For example, if we look at the heat flux this model produces, we find that the
+convection here produces approximately the correct number. Wikipedia's article
+on \href{http://en.wikipedia.org/wiki/Earth's_internal_heat_budget}{Earth's
+internal heat budget}%
+ootnote{Not necessarily the most scientific source, but easily
+accessible and typically about right in terms of numbers. The numbers stated
+here are those listed on Wikipedia at the time this section was written in
+March 2014.}
+states that the overall heat flux through the Earth surface is about $47