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authorAdrian Kummerlaender2019-01-31 14:59:42 +0100
committerAdrian Kummerlaender2019-01-31 14:59:42 +0100
commit6a7cc77bad20798682370118c9c3085d8a06e31e (patch)
tree0f620c0985e197f23f673328ac2529fed63126bc
parent09f06229c7c1143b1a348d4e3d165344dcb0b905 (diff)
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Update data, reinclude optimized grid plot
-rw-r--r--content.tex10
-rw-r--r--img/cylinder2d_optimized_low_resolution_grid_60s.gnuplot4
-rw-r--r--img/cylinder2d_optimized_low_resolution_grid_60s_knudsen.gnuplot4
-rw-r--r--img/data/cylinder2d_optimized_low_resolution_grid_60s_0.csv6170
-rw-r--r--img/data/cylinder2d_optimized_low_resolution_grid_60s_1.csv1314
-rw-r--r--img/data/cylinder2d_optimized_low_resolution_grid_60s_2.csv4738
-rw-r--r--img/data/cylinder2d_optimized_low_resolution_grid_60s_3.csv3281
-rw-r--r--img/static/cylinder2d_improved_grid_60s_knudsen.pdfbin60526 -> 60526 bytes
-rw-r--r--img/static/cylinder2d_low_resolution_outflow_refine_60s.pdfbin92972 -> 92972 bytes
-rw-r--r--img/static/cylinder2d_low_resolution_outflow_refine_60s_knudsen.pdfbin60467 -> 60467 bytes
-rw-r--r--img/static/cylinder2d_optimized_low_resolution_grid_60s.pdfbin154487 -> 151748 bytes
-rw-r--r--img/static/cylinder2d_optimized_low_resolution_grid_60s_knudsen.pdfbin75365 -> 73675 bytes
-rw-r--r--img/static/cylinder2d_optimized_low_resolution_grid_n5_knudsen.pdfbin65754 -> 0 bytes
-rw-r--r--img/static/cylinder2d_single_refinement_60s.pdfbin464746 -> 464746 bytes
-rw-r--r--img/static/cylinder2d_single_refinement_60s_knudsen.pdfbin62175 -> 62175 bytes
-rw-r--r--img/static/cylinder2d_unrefined_60s.pdfbin250176 -> 250176 bytes
-rw-r--r--img/static/cylinder2d_unrefined_60s_knudsen.pdfbin55197 -> 55197 bytes
-rw-r--r--img/tmp/cylinder2d_optimized_low_resolution_grid_60s.pngbin75561 -> 72957 bytes
-rw-r--r--img/tmp/cylinder2d_optimized_low_resolution_grid_60s_knudsen.pngbin30390 -> 29195 bytes
-rw-r--r--img/tmp/cylinder2d_optimized_low_resolution_grid_n5_knudsen.pngbin33675 -> 0 bytes
20 files changed, 7613 insertions, 7908 deletions
diff --git a/content.tex b/content.tex
index 4f298a0..a90ae1f 100644
--- a/content.tex
+++ b/content.tex
@@ -1025,6 +1025,16 @@ Typischerweise sind LBM-Simulationen des umströmten Zylinders für wirbelbilden
Dieses Beispiel gewinnt insbesondere an Eindruck, wenn wir die Gesamtanzahl der Gitterzellen mit den für ein stabiles uniformes Gitter benötigten Zellen vergleichen: Während das im Ausgang verfeinerte Gitter nur 2693 aktive Zellen beinhaltet, benötigt ein stabiles uniformes Gitter eine Auflösung von \(N=9\), was 7326 Zellen entspricht. Interessieren wir uns an dieser Stelle also nur für ein subjektiv korrektes und nicht-divergentes Strömungsbild, so ermöglicht uns Gitterverfeinerung ein Auskommen mit nur knapp einem Drittel der für ein unverfeinertes Gitter benötigten Zellen.
+\begin{figure}[h]
+\begin{adjustbox}{center}
+\includegraphics[width=1.2\textwidth]{img/static/cylinder2d_optimized_low_resolution_grid_60s.pdf}
+\end{adjustbox}
+\begin{adjustbox}{center}
+\includegraphics[width=1.2\textwidth]{img/static/cylinder2d_optimized_low_resolution_grid_60s_knudsen.pdf}
+\end{adjustbox}
+\caption{Analyse einer problembezogenen Verteilung der Gitterauflösung}
+\end{figure}
+
\bigskip
Auf diese Weise illustriert sich hier auch ein bisher nur in der Einführung erwähnter Vorteil von Gitterverfeinerung: Selbst wenn ein Verfeinerungsverfahren bezogen auf den Fehler im Vergleich mit analytischen Lösungen keine Verbesserungen oder sogar leichte Einbußen produziert, kann es doch potenziell eingesetzt werden, um Probleme zu behandeln, welche anderweitig nicht oder nur mit deutlich höherem Speicher- und Rechenaufwand zugänglich wären.
diff --git a/img/cylinder2d_optimized_low_resolution_grid_60s.gnuplot b/img/cylinder2d_optimized_low_resolution_grid_60s.gnuplot
index 594e9e9..0f1df37 100644
--- a/img/cylinder2d_optimized_low_resolution_grid_60s.gnuplot
+++ b/img/cylinder2d_optimized_low_resolution_grid_60s.gnuplot
@@ -12,10 +12,10 @@ load 'common/velocity_wrapper.gnuplot'
set obj 1 rect from 0.75,0.2 to 8.85,3.9
set obj 1 fillstyle empty border -1 front lw 1
-set obj 2 rect from 0.95,0.95 to 5.05,3.05
+set obj 2 rect from 0.95,1.0 to 5.05,3.05
set obj 2 fillstyle empty border -1 front lw 1
-set obj 3 rect from 19.95,0 to 22,4.1
+set obj 3 rect from 20.95,0 to 22,4.1
set obj 3 fillstyle empty border -1 front lw 1
load 'common/include_fluid.gnuplot'
diff --git a/img/cylinder2d_optimized_low_resolution_grid_60s_knudsen.gnuplot b/img/cylinder2d_optimized_low_resolution_grid_60s_knudsen.gnuplot
index 95c2082..f0fb8c9 100644
--- a/img/cylinder2d_optimized_low_resolution_grid_60s_knudsen.gnuplot
+++ b/img/cylinder2d_optimized_low_resolution_grid_60s_knudsen.gnuplot
@@ -13,10 +13,10 @@ load 'common/knudsen_wrapper.gnuplot'
set obj 1 rect from 0.75,0.2 to 8.85,3.9
set obj 1 fillstyle empty border -1 front lw 1
-set obj 2 rect from 0.95,0.95 to 5.05,3.05
+set obj 2 rect from 0.95,1.0 to 5.05,3.05
set obj 2 fillstyle empty border -1 front lw 1
-set obj 3 rect from 19.95,0 to 22,4.1
+set obj 3 rect from 20.95,0 to 22,4.1
set obj 3 fillstyle empty border -1 front lw 1
load 'common/include_fluid.gnuplot'
diff --git a/img/data/cylinder2d_optimized_low_resolution_grid_60s_0.csv b/img/data/cylinder2d_optimized_low_resolution_grid_60s_0.csv
index dca5e8b..055de88 100644
--- a/img/data/cylinder2d_optimized_low_resolution_grid_60s_0.csv
+++ b/img/data/cylinder2d_optimized_low_resolution_grid_60s_0.csv
@@ -1,3085 +1,3085 @@
-geometry,physVelocity:0,physVelocity:1,physPressure,knudsen,Points:0,Points:1
-1.00000000e+00,8.06575000e-01,-2.10904524e-01,5.13937771e-01,4.62518568e-04,1.00000000e+00,1.00000000e+00
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-1.00000000e+00,8.22630942e-01,-2.22508356e-01,5.21168709e-01,4.37204697e-04,1.00000000e+00,1.04999995e+00
-1.00000000e+00,8.34503055e-01,-2.37095684e-01,5.03272474e-01,4.42086486e-04,1.04999995e+00,1.04999995e+00
-1.00000000e+00,8.32643092e-01,-2.39432320e-01,4.97167498e-01,6.38270110e-04,1.10000002e+00,1.00000000e+00
-1.00000000e+00,8.46416175e-01,-2.54096001e-01,5.09843528e-01,5.87922288e-04,1.10000002e+00,1.04999995e+00
-1.00000000e+00,8.48055959e-01,-2.52038449e-01,4.88302052e-01,7.07074592e-04,1.14999998e+00,1.00000000e+00
-1.00000000e+00,8.62231910e-01,-2.69356221e-01,5.01912415e-01,7.46943115e-04,1.14999998e+00,1.04999995e+00
-1.00000000e+00,8.64810824e-01,-2.64002025e-01,4.78492260e-01,7.84853823e-04,1.20000005e+00,1.00000000e+00
-1.00000000e+00,8.78943145e-01,-2.79850811e-01,4.80288446e-01,6.38897007e-04,1.20000005e+00,1.04999995e+00
-1.00000000e+00,8.82380426e-01,-2.75772810e-01,4.67242181e-01,8.00025766e-04,1.25000000e+00,1.00000000e+00
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diff --git a/img/data/cylinder2d_optimized_low_resolution_grid_60s_1.csv b/img/data/cylinder2d_optimized_low_resolution_grid_60s_1.csv
index c60a6ce..3c94f2e 100644
--- a/img/data/cylinder2d_optimized_low_resolution_grid_60s_1.csv
+++ b/img/data/cylinder2d_optimized_low_resolution_grid_60s_1.csv
@@ -1,862 +1,452 @@
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diff --git a/img/data/cylinder2d_optimized_low_resolution_grid_60s_2.csv b/img/data/cylinder2d_optimized_low_resolution_grid_60s_2.csv
index 0d02885..b3c4b2a 100644
--- a/img/data/cylinder2d_optimized_low_resolution_grid_60s_2.csv
+++ b/img/data/cylinder2d_optimized_low_resolution_grid_60s_2.csv
@@ -1,2369 +1,2369 @@
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