diff --git a/tex/header/preamble.tex b/tex/header/preamble.tex index 83e7cafd8d5e465d9c2dbbe5fd3d9eb075d4314e..08f4b5853a90a5ead99191e4f771bec67cc60b98 100644 --- a/tex/header/preamble.tex +++ b/tex/header/preamble.tex @@ -1,6 +1,6 @@ %! TEX program = lualatex -\documentclass{scrartcl} +\documentclass[landscape]{scrartcl} \usepackage[margin=1cm, bottom=2.5cm]{geometry} % \RedeclareSectionCommand % das kommt vom KOMA-Skript % [beforeskip=-1.5ex plus -.1ex minus -.1ex, diff --git a/tex/main.tex b/tex/main.tex index 0901c4ef0588e8885edb9923a9d8005120a81644..842dc81c6fee45a6551959fedb16e028fc82df51 100644 --- a/tex/main.tex +++ b/tex/main.tex @@ -5,6 +5,7 @@ \author{Felix Hilsky} \maketitle % use \textinput as described in /header and _TEMPLATE +{\scriptsize This document is set in landscape to show the tables without special formattling.} \textinput{setup} \textinput{reynold.tex} \textinput{results} diff --git a/tex/results.tex b/tex/results.tex index 37e08c0b45632c3f0909401f046aeec73ad93764..878035236fa45e495d266a66bda93ff781991e7f 100644 --- a/tex/results.tex +++ b/tex/results.tex @@ -28,6 +28,9 @@ For the Nusselt number Churchill and Berstein found the following formula in ter The results of this equation are listed in table \ref{tab:values}. For reference values for the drag coefficiant we can refer to the paper \textcite{same} which solved the same problem for $\Rey = 100, 1000$ and $3900$. +The values for $100$ and $1000$ are inserted into table \ref{tab:values} for comparison. + +\textcite[4.1.1 The laminar flow][5]{same} reports that at $\Rey = 100$ a steady state is reached after \SI{15}{\second}. This was not confirmed by my experiments: the visual inspection indicated a stabilisation around \SIrange{60}{80}{\second}. The development of the drag coefficiant over time indicates stabilisation at around \SI{}{\second}.?? % check at end \section{Measurements} The drag coefficiant was calculated with the OpenFOAM intrinsic function @@ -42,9 +45,13 @@ The results are summerized in table \ref{tab:values}. \centering \caption{Scalar results of the numerical experiments. ref-$\Nus$ is the Nusselt number according to the Churchill-Bernstein equation.} \label{tab:values} - \begin{tabular}{ccccccc} - $\Rey$ & $u_{in}$ & \# cells & $C_D$ & $\vec n · ∇T\vert_{\text{cyl}}$ & $\Nus$ & ref-$\Nus$\\ - \num{e2} & \num{0.05} & & & & & 5.1%56 + \begin{tabular}{cccccccccc} + $\Rey$ & $u_{in}$ & \# cells & $Δt$ & $t_{\max}$ $C_D$ & $\vec n · ∇T\vert_{\text{cyl}}$ & ref-$C_D$ & $\Nus$ & ref-$\Nus$\\ + \num{e2} & \num{0.05} & 1664 & & & & 5.1%56 + \\ + \num{e2} & \num{0.05} & 6656 & & & & 5.1%56 + \\ + \num{e2} & \num{0.05} & 26624 & & & & 5.1%56 \\ \num{e3} & \num{0.5} & & & & & 15%.930 \\ diff --git a/tex/setup.tex b/tex/setup.tex index 94382e2fce86aa7b1cdf16d736ef595c0e9e042f..0d506ee05a1e5e6d813415a8a8fa260cb84ee5b4 100644 --- a/tex/setup.tex +++ b/tex/setup.tex @@ -31,8 +31,8 @@ The mesh at $N=1$ is displayed in figure \ref{fig:mesh}. \begin{figure}[htpb] \centering - \includegraphics[width=0.95\linewidth]{.maindir/zeichnungen/mesh} % check at end - \includegraphics[width=0.95\linewidth]{.maindir/zeichnungen/meshcloseup} % check at end + \includegraphics[width=0.95\linewidth,height=0.4\textheight,keepaspectratio]{.maindir/zeichnungen/mesh} % check at end + \includegraphics[width=0.95\linewidth,height=0.4\textheight,keepaspectratio]{.maindir/zeichnungen/meshcloseup} % check at end \caption{The mesh at $N=1$. As mentioned in the description the resolution at the cylinder wall is very high and therefore a second close-up view of the cylinder is displayed here (which is still too big). For orientation the corners of the arked square are marked red.}% \label{fig:mesh} \end{figure}