diff --git a/tex/header/preamble.tex b/tex/header/preamble.tex
index ad791b89ab41cc728fc89d567f9f61d579b5d5b6..805c8a03bc6ae5cb0b391e60b41b7e1e81f34a4c 100644
--- a/tex/header/preamble.tex
+++ b/tex/header/preamble.tex
@@ -28,9 +28,9 @@
 \addbibresource{.maindir/tex/bibliography.bib}
 
 \hypersetup{
-  pdftitle={Title missing},
+  pdftitle={Project 4: unsteady turbulent flow around a cylinder},
   pdfauthor={Felix Hilsky},
-  pdfsubject={Subject missing},
+  pdfsubject={Computational fluid dynamics},
   pdfcreator={LuaLaTeX},
   pdfproducer={LuaLaTeX via latexmk},
   pdfkeywords={},
diff --git a/tex/main.tex b/tex/main.tex
index 3c0a44371ed9a26de8531275bb14c4f4583d0a1b..cd41c1cfc7ae4b5eada9c0bf63099431776e5a00 100644
--- a/tex/main.tex
+++ b/tex/main.tex
@@ -1,11 +1,13 @@
 %! TEX program = lualatex
 \input{.maindir/tex/header/preamble-section}
 \docStart
-\title{Dokumententitel}
+\title{Project 4: unsteady turbulent flow around a cylinder}
 \author{Felix Hilsky}
 \maketitle
 % use \textinput as described in /header and _TEMPLATE
 \textinput{setup}
+\textinput{reynold.tex}
+\textinput{results}
 \begin{appendices}
   % \textinput{some-appendix-section}
 \end{appendices}
diff --git a/tex/results.tex b/tex/results.tex
index da1a9b77ac735fefb32490710a28b795fc10313c..913775c9c2710c1cd5c63a9fd360a4c402db1bc9 100644
--- a/tex/results.tex
+++ b/tex/results.tex
@@ -4,16 +4,24 @@
 % inputs the preamble only if necessary
 \docStart
 \section{Measurements}
+The drag coefficiant was calculated with the OpenFOAM intrinsic function
+|forceCoeffsIncompressible| with the reference area |Aref| of
+$2 · r · l = \SI{2}{\square\metre}$ where $l$ is the thickness of the domain and $r$ the radius of the cylinder.
+
+The average temperature gradient of the cylinder was calculated with the OpenFOAM instrinsic post processing functions |grad(T)|, |mag(grad(T))| and |patchAverage(name=cylinder,mag(grad(T)))|.
+We need $\abs{n·∇T}$ instead of $\abs{∇T}$ but in this case those two values are equal since $∇T$ can be split into the tangential and normal parts and the tangential part must be zero since the temperature of the cylinder is equal everywhere.
+
+The results are summerized in table \ref{tab:values}.
 \begin{table}[htpb]
   \centering
   \caption{Scalar results of the numerical experiments}
   \label{tab:values}
-  \begin{tabular}{cccc}
-    $\Rey$ & $u_{in}$ & $C_D$ & $\arrow n · ∇T|_{\text{cyl}} & \Nus \\
-    \num{e2} & \num{0.2} \\
-    \num{e3} & \num{2} \\
-    \num{e4} & \num{20} \\
-    \num{e5} & \num{200}
+  \begin{tabular}{cccccc}
+    $\Rey$ & $u_{in}$ & \# cells & $C_D$ & $\vec n · ∇T\vert_{\text{cyl}}$ & $\Nus$ \\
+    \num{e2} & \num{0.05} & \\
+    \num{e3} & \num{0.5} & \\
+    \num{e4} & \num{5} & \\
+    \num{e5} & \num{50} &
   \end{tabular}
 \end{table}
 % do not use \input nor \begin{document nor \end{document}
diff --git a/tex/reynold.tex b/tex/reynold.tex
index 07a9eb3527b36df4193f61805c20d65ac249eeeb..4d09f588bd46b4451a66725ba4a36267e89daaa0 100644
--- a/tex/reynold.tex
+++ b/tex/reynold.tex
@@ -6,7 +6,7 @@
 \section{Reynolds number}
 The Reynolds number is defined as
 \begin{align*}
-  \Rey = \frac{u d}{ν} ⇒ u = \frac{\Rey ν}{d} = \frac{\Rey}{500}.
+  \Rey = \frac{u d}{ν} ⇒ u = \frac{\Rey ν}{d} = \frac{\Rey}{2000} = \num{5e-4} \Rey.
 \end{align*}
 In the default case $d = \SI{2}{\metre}$, $ν=\SI{e-3}{\square\metre\per\second}$.
 The inflow velocity is chose in a way that the desired Reynold numbers are reached,
diff --git a/tex/timestep.tex b/tex/timestep.tex
new file mode 100644
index 0000000000000000000000000000000000000000..8e4562247ea30128a260b356479d427e2d8836e8
--- /dev/null
+++ b/tex/timestep.tex
@@ -0,0 +1,28 @@
+%! TEX program = lualatex
+
+\input{.maindir/tex/header/preamble-section}
+% inputs the preamble only if necessary
+\docStart
+\section{Time stepping}
+The timesteps were adjusted automatically because for moderate to higher velocities the Courant numbers were very high (over 40) at time steps of one second but stable.
+This resulted in time steps listed in table \ref{fig:timesteps}.
+As it is visible there, the combination of high Reynolds number ($\num{e5}$) with higher cell number $N > 2$) is not viable to run.
+
+Since for low Reynold numbers, the time step became too big, a maximal time step of \num{0.1} was introduced.
+
+\begin{table}[htpb]
+  \centering
+  \caption{Time steps due to automatic adjustment with max courant number of \num{1}.}
+  \label{tab:timesteps}
+  \begin{tabular}{ccc}
+    Nr. of cells & Reynold number & time step \\
+    % 1016 = "N = 1"; 4064 = "N = 2"
+    4064 & \num{e2} & 1.3 \\ % todo: run again with smaller timestep
+    4064 & \num{e3} & 0.0795 \\
+    4064 & \num{e4} & 0.0065 \\
+    1016 & \num{e5} & 0.0017 \\
+    4065 & \num{e5} & 0.00051
+  \end{tabular}
+\end{table}
+
+\docEnd