diff options
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 Binary files differdeleted 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 Binary files differnew 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 Binary files differnew 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 Binary files differnew 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 Binary files differnew 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 Binary files differnew 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 Binary files differdeleted 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 Binary files differdeleted 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 Binary files differnew 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 Binary files differnew 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 Binary files differnew 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 Binary files differnew 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 Binary files differnew file mode 100644 index 0000000..806c2b0 --- /dev/null +++ b/img/tmp/cylinder2d_unrefined_60s_knudsen.png |