adm-bssn-plots.tex

\def\Date{2 Jun 2024}

\documentclass[12pt]{article}
\usepackage[papersize={297mm,210mm},hmargin=2cm,tmargin=1.0cm,bmargin=1.5cm]{geometry}
\usepackage{cdblatex}% only needed if using cdblatex macros
\usepackage{pgfplots}
\usepackage{adm-bssn-plots}

\begin{document}

% =======================================================================================
\section*{Kasner evolution}

\pgfplotsset{compat=newest}
\pgfplotsset{width=0.45\textwidth,height=0.30\textwidth}

\begin{tabular}{cc}
\begin{tikzpicture}
   \begin{axis}
      [xmin= 0.5, xmax=11.5,
       title={\bf Metric components},
       xlabel=$t$, ylabel={$g_{xx}, \> g_{zz}$},
       grid=major, grid style={dashed,gray!30},
       legend entries = {$g_{xx}$, $g_{zz}$},
       legend pos = north west]
       \addplot[blue]   table [x index=0, y index=1]{adm/code/results/history.txt};
       \addplot[red]    table [x index=0, y index=3]{adm/code/results/history.txt};
   \end{axis}
\end{tikzpicture}
&
\begin{tikzpicture}
   \begin{axis}
      [xmin= 0.5, xmax=11.5,
       title={\bf Extrinsic curvatures},
       xlabel=$t$, ylabel={$K_{xx}, \> K_{zz}$},
       grid=major, grid style={dashed,gray!30},
       legend entries = {$K_{xx}$, $K_{zz}$}]
       \addplot[blue]   table [x index=0, y index=4]{adm/code/results/history.txt};
       \addplot[red]    table [x index=0, y index=6]{adm/code/results/history.txt};
   \end{axis}
\end{tikzpicture}\\
\begin{tikzpicture}
   \begin{axis}
      [xmin= 0.5, xmax=11.5,
       title={\bf Hamiltonian},
       xlabel=$t$, ylabel={$\cal H$},
       grid=major, grid style={dashed,gray!30},
       legend entries = {ADM, BSSN}]
       \addplot[red]    table [x index=0, y index=7]{adm/code/results/history.txt};
       \addplot[blue]   table [x index=0, y index=7]{bssn/code/results/history.txt};
   \end{axis}
\end{tikzpicture}
&
\hskip 1cm
\begin{minipage}[b]{0.35\textwidth}
   These plots show the evolution for basic ADM and BSSN data. The Kasner parameters
   were $p_1=p_2=2/3$ and $p_3=-1/3$. The only noticeable difference between the
   ADM and BSSN results are for the Hamiltonian.
   \vskip 4cm
   \hrule height 0pt
\end{minipage}
\end{tabular}

\end{document}