root/trunk/matml/transport/problems/castabox/castabox-solution.tex

\documentclass{article}
\usepackage{fullpage}
\begin{document}
\begin{enumerate}
% This is meant to be processed with PDFLaTeX
\item Cast-a-Box

\begin{enumerate}
\item The following images were grabbed at $t=0.005$, 0.025, and 0.065 seconds.
  The default temperatures are shown as contour surfaces, from inside to
  outside these are: 1195, 1150, 1100, 1050, 1000 and 950 degrees.  In the plot
  on the right, the dark blue contour covers the top of the box, indicating
  that the top has frozen over and a considerable amount of liquid is trapped
  inside, which will almost certainly lead to a defect.

\begin{center}
  \pdfimageresolution 240
  $\ $\pdfximage{trouble1.png}\pdfrefximage\pdflastximage
  \pdfximage{trouble2.png}\pdfrefximage\pdflastximage
  \pdfximage{trouble3.png}\pdfrefximage\pdflastximage$\ $
\end{center}

\item The next images were captured at times $t=0.04$, 0.15, and 0.4 during a
  simulation run with option {\tt -top\_tenv 1000}, which might correspond to
  heating the top surface to that temperature using a flame.  The same
  temperature contours are shown, and it is evident that the last liquid to
  solidify will be on the top surface of the casting, preventing such a
  defect.  The last bit of liquid solidifies at $t=0.515$.

\begin{center}
  \pdfimageresolution 240
  $\ $\pdfximage{success1.png}\pdfrefximage\pdflastximage
  \pdfximage{success2.png}\pdfrefximage\pdflastximage
  \pdfximage{success3.png}\pdfrefximage\pdflastximage$\ $
\end{center}
\end{enumerate}

\end{enumerate}
\end{document}