small fixes

tex/header/preamble.tex

@@ -19,7 +19,7 @@
 
 \usepackage{listings}
 \lstMakeShortInline[columns=fixed]|
-\usepackage[section]{placeins}  % makes sure that the figures stay within their section
+\usepackage[subsection]{placeins}  % makes sure that the figures stay within their section
 
 \setmainfont{Latin Modern Roman}
 \setsansfont{Latin Modern Sans}

tex/main.tex

 %! TEX program = lualatex
 \input{.maindir/tex/header/preamble-section}
 \docStart
-\title{Dokumententitel}
+\title{Project 3: Laminar Flow}
 \author{Felix Hilsky}
 \maketitle
 % use \textinput as described in /header and _TEMPLATE

tex/mesh.tex

@@ -18,7 +18,7 @@ In the corners of the area around the cylinder the angle of the outermost cells
 
 \begin{figure}[htpb]
   \centering
-  \includegraphics[width=0.8\linewidth]{.maindir/zeichnungen/mesh}
+  \includegraphics[width=\linewidth]{.maindir/zeichnungen/mesh}
   \caption{The mesh for $N = 6$.% With $2$ correctors, $N=8$ does not work (Courant number blows up), but with $4$ correctors, it does work.
   }%
   \label{fig:mesh}

tex/reynold.tex

@@ -12,11 +12,11 @@ consider the definition of the Reynolds number:
 where $d = \SI{0.1}{\metre}$ is the diameter of the cylinder and $ν = \SI{10e-3}{\square\metre\per\second}$ is the kinematic viscosity\footnote{\url{https://en.wikipedia.org/wiki/Viscosity\#Kinematic_viscosity}}.
 Therefore
 \begin{align*}
-  \bar u = \frac{\Rey ν}{d} = \frac{\Rey · \SI{10e-3}{\square\metre\per\second}}{\SI{0.1}{\metre}} = \frac{\Rey}{100} \si{\metre\per\second} \\
-  \bar u = \SI{0.2}{\metre\per\second} \quad \text{for } \Rey = 20 \\
-  \bar u = \SI{1}{\metre\per\second} \quad \text{for } \Rey = 100
+  \bar u &= \frac{\Rey ν}{d} = \frac{\Rey · \SI{10e-3}{\square\metre\per\second}}{\SI{0.1}{\metre}} = \frac{\Rey}{100} \si{\metre\per\second} \\
+  \bar u &= \SI{0.2}{\metre\per\second} & \text{for } \Rey &= 20 \\
+  \bar u &= \SI{1}{\metre\per\second} & \text{for } \Rey &= 100
 \end{align*}
 This mean velocity needs to be changed in |0/U| in the code.
 It is not used if it lays in |system/codeDict|. (Ignored without error message or warning.)
-The mean velocity cannot be moved to |scale| as a variable because then the C++ code resuts in an error.
+The mean velocity cannot be moved to |scale| as a variable because then the C++ code results in an error.
 \docEnd

tex/unsteadystate.tex

@@ -8,7 +8,7 @@ The literature claims that at a Reynolds number of $\Rey = 100$ ($\bar u = \SI{1
 
 My experiments did not support this claim.
 With $u = \SI{1}{\metre\per\second}$ a steady state is reached before \SI{0.86}{\second}.
-This steady state can be seen in figure \ref{fig:unsteady}.
+This steady state can be seen in figure \ref{fig:unsteadystate}.
 \begin{figure}[htpb]
   \centering
   \newcommand{\picwidth}{0.95\linewidth}
@@ -16,11 +16,11 @@ This steady state can be seen in figure \ref{fig:unsteady}.
   \includegraphics[width=\picwidth]{.maindir/zeichnungen/100_u_y}
   \includegraphics[width=\picwidth]{.maindir/zeichnungen/100_p}
   \caption{The steady state is reached at time \SI{0.6}{\second}.
-    Those images are from $t ="\SI{0.86}{\second}$.
+    Those images are from $t = \SI{0.86}{\second}$.
     From top to bottom we have the velocity in flow direction,
     the velocity perpendicular to it and the pressure.%
   }
-  \label{fig:steadystate}
+  \label{fig:unsteadystate}
 \end{figure}
 
 The recirculation zone in this case is approximately \SIrange{25}{30}{\centi\metre} long.