Revamp gnuplot plotting to generate better output

Using the pdfcairo terminal for generating fluid flow plots in gnuplot
using raw paraview-generated CSV exports generates high quality results.
Sadly the resulting files are both unoptimized and quite big which leads
to both large and unperformant documents (i.e. some PDF readers even crash)

As an alternative this new gnuplot structure generates the fluid plot
itself using the pngcairo terminal and includes the resulting
high-resolution PNG image into a normal pdfcairo plot. This works out
quite well.

As a side benefit the plot scripts are now much easier to maintain.

30 files changed, 118 insertions, 121 deletions

diff --git a/content.tex b/content.tex
index 241be7e..80127dd 100644
--- a/content.tex
+++ b/content.tex
@@ -938,7 +938,7 @@ Für die Umsetzung in OpenLB parametrisieren wir die Geometrie bezogen auf den Z
 

 \begin{figure}[h]

 \begin{adjustbox}{center}

-\includegraphics[width=1.2\textwidth]{img/static/cylinder2d_unrefined_60s_full.pdf}

+\includegraphics[width=1.2\textwidth]{img/static/cylinder2d_unrefined_60s.pdf}

 \end{adjustbox}

 \caption{Uniform mit \(N=20\) aufgelöstes Strömungsbild zu \(t=60s\)}

 \label{fig:UniformCylinderVelocity60s}

@@ -948,7 +948,7 @@ Als Grundlage für den subjektiven Vergleich des Strömungsbildes simulieren wir
 

 \begin{figure}[h]

 \begin{adjustbox}{center}

-\includegraphics[width=1.2\textwidth]{img/static/cylinder2d_single_refinement_60s_full.pdf}

+\includegraphics[width=1.2\textwidth]{img/static/cylinder2d_single_refinement_60s.pdf}

 \end{adjustbox}

 \caption{Einfach verfeinertes Strömungsbild zu \(t=60s\)}

 \label{fig:SingleLevelRefinementCylinderVelocity60s}

@@ -963,7 +963,7 @@ An dieser Stelle wollen wir die Gelegenheit nutzen, uns näher mit der Wahl der
 

 \begin{figure}[h]

 \begin{adjustbox}{center}

-\includegraphics[width=1.2\textwidth]{img/static/cylinder2d_unrefined_60s_knudsen_full.pdf}

+\includegraphics[width=1.2\textwidth]{img/static/cylinder2d_unrefined_60s_knudsen.pdf}

 \end{adjustbox}

 \caption{Verfeinerungskriterium in einem uniform aufgelösten Gitter zu \(t=60s\)}

 \label{fig:UnrefinedCylinderKnudsen60s}

@@ -974,7 +974,7 @@ Große Teile des Gitters weisen demnach eine gute Auflösung mit Verfeinerungsfa
 

 \begin{figure}[h]

 \begin{adjustbox}{center}

-\includegraphics[width=1.2\textwidth]{img/static/cylinder2d_single_refinement_60s_knudsen_full.pdf}

+\includegraphics[width=1.2\textwidth]{img/static/cylinder2d_single_refinement_60s_knudsen.pdf}

 \end{adjustbox}

 \caption{Verfeinerungskriterium in einem einfach verfeinerten Gitter zu \(t=60s\)}

 \label{fig:SingleLevelRefinementCylinderKnudsen60s}

@@ -984,7 +984,7 @@ Insgesamt war unter dieser formaleren Analyse unsere intuitive Wahl des in Abbil
 

 \begin{figure}[h]

 \begin{adjustbox}{center}

-\includegraphics[width=1.2\textwidth]{img/static/cylinder2d_improved_grid_60s_knudsen_full.pdf}

+\includegraphics[width=1.2\textwidth]{img/static/cylinder2d_improved_grid_60s_knudsen.pdf}

 \end{adjustbox}

 \end{figure}

 

diff --git a/img/cavity2d.tikz b/img/cavity2d.tikz
deleted file mode 100644
index cb99dba..0000000
--- a/img/cavity2d.tikz
+++ /dev/null
@@ -1,16 +0,0 @@
-\begin{tikzpicture}
-\node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=5cm]{img/cavity2d.png}};
-\foreach \x in {0,...,4}
-	\foreach \y in {0,...,4}
-		\draw[white] (\x,\y) rectangle (\x+1,\y+1);
-
-\draw[black,thick] (0,0) rectangle (5,5);
-
-\draw[->] (0,5.2) -- node[above,midway] {\footnotesize\(u=(1,0)\)} (5,5.2);
-\draw (0,0) -- node[below] {\footnotesize\(u=(0,0)\)} (5,0);
-\draw (0,0) -- node[rotate=90,yshift=10pt] {\footnotesize\(u=(0,0)\)} (0,5);
-\draw (5,0) -- node[rotate=90,yshift=-10pt] {\footnotesize\(u=(0,0)\)} (5,5);
-
-\draw[<->] (-0.7,0) -- node[rotate=90,yshift=10pt] {\scriptsize \(L=1\), diskretisiert in \(N\) Knoten} (-0.7,5);
-\draw[<->] (0,-0.7) -- node[below] {\scriptsize \(L=1\), diskretisiert in \(N\) Knoten} (5,-0.7);
-\end{tikzpicture}
diff --git a/img/common/knudsen_fluid.gnuplot b/img/common/knudsen_fluid.gnuplot
new file mode 100644
index 0000000..7ceb6b8
--- /dev/null
+++ b/img/common/knudsen_fluid.gnuplot
@@ -0,0 +1,19 @@
+set terminal pngcairo size 3520, 656
+
+set output 'tmp/'.plotname.'.png'
+
+set palette defined (0 "dark-green", 0.5 "dark-green", 0.5 "yellow", 1.5 "yellow", 1.5 "red", 2 "red")
+
+set datafile separator ','
+
+set size 1,1
+set margin 0,0,0,0
+
+set yrange [0:4.1]
+set xrange [0:22]
+set cbrange [0:2]
+
+unset colorbox
+unset key
+unset tics
+unset border
diff --git a/img/cylinder2d_unrefined_60s_knudsen_full.gnuplot b/img/common/knudsen_wrapper.gnuplot
index a953bd7..5562b56 100644
--- a/img/cylinder2d_unrefined_60s_knudsen_full.gnuplot
+++ b/img/common/knudsen_wrapper.gnuplot
@@ -1,19 +1,16 @@
+reset
+
 set term pdfcairo enh size 21cm, 5cm
+set output 'static/'.plotname.'.pdf'
 
 set palette defined (0 "dark-green", 0.5 "dark-green", 0.5 "yellow", 1.5 "yellow", 1.5 "red", 2 "red")
 
-set datafile separator ','
-
 set size ratio -1
-
-set yrange [0:4.1]
-set xrange [0:22]
-set cbrange [0:2]
-
 set xtics 0,2,22
 set ytics 0,1,4
 set cbtics ("{/Symbol \243}0" 0, "1" 1, "{/Symbol \263}2" 2)
+set cbrange [0:2]
 
 set cblabel "Verfeinerungskriterium" offset 1,0
 
-plot 'data/cylinder2d_unrefined_60s_full.csv' using 6:7:(log($5/0.000866025)/log(2)) palette pt 5 ps 0.13 notitle
+plot 'tmp/'.plotname.'.png' binary filetype=png origin=(0.00625,0.00625) dx=0.00625 dy=0.00625 with rgbimage palette
diff --git a/img/moreland.pal b/img/common/moreland.pal
index 24b8cb9..24b8cb9 100644
--- a/img/moreland.pal
+++ b/img/common/moreland.pal
diff --git a/img/common/velocity_fluid.gnuplot b/img/common/velocity_fluid.gnuplot
new file mode 100644
index 0000000..bd8e194
--- /dev/null
+++ b/img/common/velocity_fluid.gnuplot
@@ -0,0 +1,19 @@
+set terminal pngcairo size 3520, 656
+
+set output 'tmp/'.plotname.'.png'
+
+load 'common/moreland.pal'
+
+set datafile separator ','
+
+set size 1,1
+set margin 0,0,0,0
+
+set yrange [0:4.1]
+set xrange [0:22]
+set cbrange [0:1.5]
+
+unset colorbox
+unset key
+unset tics
+unset border
diff --git a/img/common/velocity_wrapper.gnuplot b/img/common/velocity_wrapper.gnuplot
new file mode 100644
index 0000000..534040e
--- /dev/null
+++ b/img/common/velocity_wrapper.gnuplot
@@ -0,0 +1,16 @@
+reset
+
+set term pdfcairo enh size 21cm, 5cm
+set output 'static/'.plotname.'.pdf'
+
+load 'common/moreland.pal'
+
+set size ratio -1
+set xtics 0,2,22
+set ytics 0,1,4
+set cbtics 0,0.5,1.5
+set cbrange [0:1.5]
+
+set cblabel "Geschwindigkeitsnorm"
+
+plot 'tmp/'.plotname.'.png' binary filetype=png origin=(0.00625,0.00625) dx=0.00625 dy=0.00625 with rgbimage palette
diff --git a/img/cylinder2d_improved_grid_60s_knudsen.gnuplot b/img/cylinder2d_improved_grid_60s_knudsen.gnuplot
new file mode 100644
index 0000000..6885ca7
--- /dev/null
+++ b/img/cylinder2d_improved_grid_60s_knudsen.gnuplot
@@ -0,0 +1,16 @@
+plotname = "cylinder2d_improved_grid_60s_knudsen"
+knudsen = 0.000866025
+
+load 'common/knudsen_fluid.gnuplot'
+
+set obj 1 rect from 0.75,0.05 to 8.75,4.05
+set obj 1 fillstyle empty border -1 front lw 4
+
+set obj 2 rect from 1,1.05 to 5,3.05
+set obj 2 fillstyle empty border -1 front lw 4
+
+plot 'data/cylinder2d_improved_grid_twice_refined_60s_2.csv' using 6:7:(log($5/knudsen)/log(2)) palette pt 5 ps 1.3 notitle,\
+     'data/cylinder2d_improved_grid_twice_refined_60s_1.csv' using 6:7:(log($5/knudsen)/log(2)) palette pt 5 ps 0.7 notitle,\
+     'data/cylinder2d_improved_grid_twice_refined_60s_0.csv' using 6:7:(log($5/knudsen)/log(2)) palette pt 5 ps 0.3 notitle\
+
+load 'common/knudsen_wrapper.gnuplot'
diff --git a/img/cylinder2d_improved_grid_60s_knudsen_full.gnuplot b/img/cylinder2d_improved_grid_60s_knudsen_full.gnuplot
deleted file mode 100644
index c3c1a23..0000000
--- a/img/cylinder2d_improved_grid_60s_knudsen_full.gnuplot
+++ /dev/null
@@ -1,27 +0,0 @@
-set term pdfcairo enh size 21cm, 5cm
-
-set palette defined (0 "dark-green", 0.5 "dark-green", 0.5 "yellow", 1.5 "yellow", 1.5 "red", 2 "red")
-
-set datafile separator ','
-
-set size ratio -1
-
-set yrange [0:4.1]
-set xrange [0:22]
-set cbrange [0:2]
-
-set xtics 0,2,22
-set ytics 0,1,4
-set cbtics ("{/Symbol \243}0" 0, "1" 1, "{/Symbol \263}2" 2)
-
-set cblabel "Verfeinerungskriterium" offset 1,0
-
-set obj 1 rect from 0.75,0.05 to 8.75,4.05
-set obj 1 fillstyle empty border -1 front
-
-set obj 2 rect from 1,1.05 to 5,3.05
-set obj 2 fillstyle empty border -1 front
-
-plot 'data/cylinder2d_improved_grid_twice_refined_60s_2.csv' using 6:7:(log($5/0.000866025)/log(2)) palette pt 5 ps 0.13 notitle,\
-     'data/cylinder2d_improved_grid_twice_refined_60s_1.csv' using 6:7:(log($5/0.000866025)/log(2)) palette pt 5 ps 0.065 notitle,\
-     'data/cylinder2d_improved_grid_twice_refined_60s_0.csv' using 6:7:(log($5/0.000866025)/log(2)) palette pt 5 ps 0.0325 notitle
diff --git a/img/cylinder2d_single_refinement_60s.gnuplot b/img/cylinder2d_single_refinement_60s.gnuplot
new file mode 100644
index 0000000..34f9b85
--- /dev/null
+++ b/img/cylinder2d_single_refinement_60s.gnuplot
@@ -0,0 +1,11 @@
+plotname = "cylinder2d_single_refinement_60s"
+
+load 'common/velocity_fluid.gnuplot'
+
+set obj 1 rect from 0.75,0.55 to 8.75,3.55
+set obj 1 fillstyle empty border -1 front lw 4
+
+plot 'data/cylinder2d_single_level_refinement_60s_0.csv' using 6:7:(sqrt($2*$2+$3*$3)) palette pt 5 ps 1.3 notitle,\
+     'data/cylinder2d_single_level_refinement_60s_1.csv' using 6:7:(sqrt($2*$2+$3*$3)) palette pt 5 ps 0.7 notitle
+
+load 'common/velocity_wrapper.gnuplot'
diff --git a/img/cylinder2d_single_refinement_60s_full.gnuplot b/img/cylinder2d_single_refinement_60s_full.gnuplot
deleted file mode 100644
index 546d353..0000000
--- a/img/cylinder2d_single_refinement_60s_full.gnuplot
+++ /dev/null
@@ -1,23 +0,0 @@
-set term pdfcairo enh size 21cm, 5cm
-
-load 'moreland.pal'
-
-set datafile separator ','
-
-set size ratio -1
-
-set yrange [0:4.1]
-set xrange [0:22]
-set cbrange [0:1.5]
-
-set xtics 0,2,22
-set ytics 0,1,4
-set cbtics 0,0.5,1.5
-
-set cblabel "Geschwindigkeitsnorm"
-
-set obj 1 rect from 0.75,0.55 to 8.75,3.55
-set obj 1 fillstyle empty border -1 front
-
-plot 'data/poiseuille2d_single_level_refinement_60s_0.csv' using 6:7:(sqrt($2*$2+$3*$3)) palette pt 5 ps 0.13 notitle,\
-     'data/poiseuille2d_single_level_refinement_60s_1.csv' using 6:7:(sqrt($2*$2+$3*$3)) palette pt 5 ps 0.065 notitle
diff --git a/img/cylinder2d_single_refinement_60s_knudsen.gnuplot b/img/cylinder2d_single_refinement_60s_knudsen.gnuplot
new file mode 100644
index 0000000..809abc1
--- /dev/null
+++ b/img/cylinder2d_single_refinement_60s_knudsen.gnuplot
@@ -0,0 +1,12 @@
+plotname = "cylinder2d_single_refinement_60s_knudsen"
+knudsen = 0.000866025
+
+load 'common/knudsen_fluid.gnuplot'
+
+set obj 1 rect from 0.75,0.55 to 8.75,3.55
+set obj 1 fillstyle empty border -1 front lw 4
+
+plot 'data/cylinder2d_single_level_refinement_60s_0.csv' using 6:7:(log($5/knudsen)/log(2)) palette pt 5 ps 1.3 notitle,\
+     'data/cylinder2d_single_level_refinement_60s_1.csv' using 6:7:(log($5/knudsen)/log(2)) palette pt 5 ps 0.7 notitle
+
+load 'common/knudsen_wrapper.gnuplot'
diff --git a/img/cylinder2d_single_refinement_60s_knudsen_full.gnuplot b/img/cylinder2d_single_refinement_60s_knudsen_full.gnuplot
deleted file mode 100644
index c9eb537..0000000
--- a/img/cylinder2d_single_refinement_60s_knudsen_full.gnuplot
+++ /dev/null
@@ -1,23 +0,0 @@
-set term pdfcairo enh size 21cm, 5cm
-
-set palette defined (0 "dark-green", 0.5 "dark-green", 0.5 "yellow", 1.5 "yellow", 1.5 "red", 2 "red")
-
-set datafile separator ','
-
-set size ratio -1
-
-set yrange [0:4.1]
-set xrange [0:22]
-set cbrange [0:2]
-
-set xtics 0,2,22
-set ytics 0,1,4
-set cbtics ("{/Symbol \243}0" 0, "1" 1, "{/Symbol \263}2" 2)
-
-set cblabel "Verfeinerungskriterium" offset 1,0
-
-set obj 1 rect from 0.75,0.55 to 8.75,3.55
-set obj 1 fillstyle empty border -1 front
-
-plot 'data/cylinder2d_single_level_refinement_60s_0.csv' using 6:7:(log($5/0.000866025)/log(2)) palette pt 5 ps 0.13 notitle,\
-     'data/cylinder2d_single_level_refinement_60s_1.csv' using 6:7:(log($5/0.000866025)/log(2)) palette pt 5 ps 0.065 notitle
diff --git a/img/cylinder2d_unrefined_60s.gnuplot b/img/cylinder2d_unrefined_60s.gnuplot
new file mode 100644
index 0000000..3c6194a
--- /dev/null
+++ b/img/cylinder2d_unrefined_60s.gnuplot
@@ -0,0 +1,7 @@
+plotname = "cylinder2d_unrefined_60s"
+
+load 'common/velocity_fluid.gnuplot'
+
+plot 'data/cylinder2d_unrefined_60s.csv' using 6:7:(sqrt($2*$2+$3*$3)) palette pt 5 ps 1.3 notitle
+
+load 'common/velocity_wrapper.gnuplot'
diff --git a/img/cylinder2d_unrefined_60s_full.gnuplot b/img/cylinder2d_unrefined_60s_full.gnuplot
deleted file mode 100644
index 57bfca3..0000000
--- a/img/cylinder2d_unrefined_60s_full.gnuplot
+++ /dev/null
@@ -1,19 +0,0 @@
-set term pdfcairo enh size 21cm, 5cm
-
-load 'moreland.pal'
-
-set datafile separator ','
-
-set size ratio -1
-
-set yrange [0:4.1]
-set xrange [0:22]
-set cbrange [0:1.5]
-
-set xtics 0,2,22
-set ytics 0,1,4
-set cbtics 0,0.5,1.5
-
-set cblabel "Geschwindigkeitsnorm"
-
-plot 'data/poiseuille2d_unrefined_60s_full.csv' using  6:7:(sqrt($2*$2+$3*$3)) palette pt 5 ps 0.13 notitle
diff --git a/img/cylinder2d_unrefined_60s_knudsen.gnuplot b/img/cylinder2d_unrefined_60s_knudsen.gnuplot
new file mode 100644
index 0000000..6143107
--- /dev/null
+++ b/img/cylinder2d_unrefined_60s_knudsen.gnuplot
@@ -0,0 +1,8 @@
+plotname = "cylinder2d_unrefined_60s_knudsen"
+knudsen = 0.000866025
+
+load 'common/knudsen_fluid.gnuplot'
+
+plot 'data/cylinder2d_unrefined_60s.csv' using 6:7:(log($5/knudsen)/log(2)) palette pt 5 ps 1.3 notitle
+
+load 'common/knudsen_wrapper.gnuplot'
diff --git a/img/data/cylinder2d_unrefined_60s_full.csv b/img/data/cylinder2d_unrefined_60s.csv
index 4b27f13..4b27f13 100644
--- a/img/data/cylinder2d_unrefined_60s_full.csv
+++ b/img/data/cylinder2d_unrefined_60s.csv
diff --git a/img/static/cavity2d.png b/img/static/cavity2d.png
deleted file mode 100644
index 8409ec5..0000000
--- a/img/static/cavity2d.png
+++ /dev/null
diff --git a/img/static/cylinder2d_improved_grid_60s_knudsen.pdf b/img/static/cylinder2d_improved_grid_60s_knudsen.pdf
new file mode 100644
index 0000000..ed288cd
--- /dev/null
+++ b/img/static/cylinder2d_improved_grid_60s_knudsen.pdf
diff --git a/img/static/cylinder2d_single_refinement_60s.pdf b/img/static/cylinder2d_single_refinement_60s.pdf
new file mode 100644
index 0000000..149e040
--- /dev/null
+++ b/img/static/cylinder2d_single_refinement_60s.pdf
diff --git a/img/static/cylinder2d_single_refinement_60s_knudsen.pdf b/img/static/cylinder2d_single_refinement_60s_knudsen.pdf
new file mode 100644
index 0000000..a641d36
--- /dev/null
+++ b/img/static/cylinder2d_single_refinement_60s_knudsen.pdf
diff --git a/img/static/cylinder2d_unrefined_60s.pdf b/img/static/cylinder2d_unrefined_60s.pdf
new file mode 100644
index 0000000..e81e767
--- /dev/null
+++ b/img/static/cylinder2d_unrefined_60s.pdf
diff --git a/img/static/cylinder2d_unrefined_60s_knudsen.pdf b/img/static/cylinder2d_unrefined_60s_knudsen.pdf
new file mode 100644
index 0000000..72c5de8
--- /dev/null
+++ b/img/static/cylinder2d_unrefined_60s_knudsen.pdf
diff --git a/img/static/massloss_paraview_plot.png b/img/static/massloss_paraview_plot.png
deleted file mode 100644
index 6a8c443..0000000
--- a/img/static/massloss_paraview_plot.png
+++ /dev/null
diff --git a/img/static/refined_poiseuille_1.png b/img/static/refined_poiseuille_1.png
deleted file mode 100644
index 7d2453e..0000000
--- a/img/static/refined_poiseuille_1.png
+++ /dev/null
diff --git a/img/tmp/cylinder2d_improved_grid_60s_knudsen.png b/img/tmp/cylinder2d_improved_grid_60s_knudsen.png
new file mode 100644
index 0000000..90fbae6
--- /dev/null
+++ b/img/tmp/cylinder2d_improved_grid_60s_knudsen.png
diff --git a/img/tmp/cylinder2d_single_refinement_60s.png b/img/tmp/cylinder2d_single_refinement_60s.png
new file mode 100644
index 0000000..847c215
--- /dev/null
+++ b/img/tmp/cylinder2d_single_refinement_60s.png
diff --git a/img/tmp/cylinder2d_single_refinement_60s_knudsen.png b/img/tmp/cylinder2d_single_refinement_60s_knudsen.png
new file mode 100644
index 0000000..6703f56
--- /dev/null
+++ b/img/tmp/cylinder2d_single_refinement_60s_knudsen.png
diff --git a/img/tmp/cylinder2d_unrefined_60s.png b/img/tmp/cylinder2d_unrefined_60s.png
new file mode 100644
index 0000000..e55f82e
--- /dev/null
+++ b/img/tmp/cylinder2d_unrefined_60s.png
diff --git a/img/tmp/cylinder2d_unrefined_60s_knudsen.png b/img/tmp/cylinder2d_unrefined_60s_knudsen.png
new file mode 100644
index 0000000..806c2b0
--- /dev/null
+++ b/img/tmp/cylinder2d_unrefined_60s_knudsen.png