[Commits] [svn:einsteintoolkit] Paper_EinsteinToolkit_2010/ (Rev. 112)

[diener at cct.lsu.edu]

User: diener
Date: 2011/08/21 03:30 PM

Modified:
 /
  ET.tex

Log:
 Add the first couple of plots for the distorted rotating black hole
 example.

File Changes:

Directory: /
============

File [modified]: ET.tex
Delta lines: +20 -1
===================================================================
--- ET.tex	2011-08-21 20:29:34 UTC (rev 111)
+++ ET.tex	2011-08-21 20:30:39 UTC (rev 112)
@@ -2252,8 +2252,27 @@
 resolution on the finest grid and the second number in parenthesis is the
 resolution on the coarsest grid. The runs where performed using the tapering
 evolution scheme in \codename{Carpet} in order to avoid interpolation in
-time during prolongation.
+time during prolongation. The initial data corresponds to a rotating black
+hole perturbed by an $\ell =2, m=0$ Brill wave and as such has a non-zero
+gravitational wave content. We evolved using 4th order finite differencing from
+$T=0M$ until the black hole had settled down to a stationary state at $T=120M$.
 
+\begin{figure}
+ \includegraphics[width=0.33\textwidth,angle=-90]{examples/kerr/figs/waves}
+ \includegraphics[width=0.33\textwidth,angle=-90]{examples/kerr/figs/waves_conv}
+ \caption{The right plot shows the extracted $\ell =2, m=0$ mode of $\Psi_4$
+          as function of time from the high resultion run. The extraction was
+          done at $R=30M$. Shown is both the real (solid red line) and the
+          imaginary (dashed green line) part of the waveform. The left plot
+          shows for the real part of the $\ell =2, m=0$ waveforms the
+          difference between the medium and low resolution runs (solid red
+          line), the difference between the high and medium resolution runs
+          (dashed green line) as well as the scaled (for 4th order
+          convergence) difference between the medium and low resolution runs
+          (dotted blue line).}
+ \label{fig:kerr_waves}
+\end{figure}
+
 \subsection{BHB\pages{2 Bruno}}
 \label{sec:bbh-example}
 %BCM: DONE:ID parameters, TP number of collocation points, grid structure,