From 742568b658dae0361e8bd182cec7fd101c48a101 Mon Sep 17 00:00:00 2001
From: Adrian Kummerlaender
Date: Fri, 25 Jan 2019 16:13:42 +0100
Subject: Add poiseuille2d error plot

---
 img/poiseuille2d_error_comparison.tikz | 52 ++++++++++++++++++++++++++++++++++
 img/poiseuille2d_velocity_outflow.tikz | 14 +++++----
 2 files changed, 60 insertions(+), 6 deletions(-)
 create mode 100644 img/poiseuille2d_error_comparison.tikz

(limited to 'img')

diff --git a/img/poiseuille2d_error_comparison.tikz b/img/poiseuille2d_error_comparison.tikz
new file mode 100644
index 0000000..54e4ac8
--- /dev/null
+++ b/img/poiseuille2d_error_comparison.tikz
@@ -0,0 +1,52 @@
+\begin{tikzpicture}
+\begin{axis}[
+	scale only axis,
+	height=8cm,
+	width=0.7*\textwidth,
+	symbolic x coords={\texttt{uN10},\texttt{uN20},\texttt{vN10A},\texttt{vN20A},\texttt{vN10B},\texttt{vN20B}},
+	xtick=data,
+	ylabel=L2-genormter Fehler,
+	ymode=log,
+	log origin=infty,
+	y tick label style={/pgf/number format/sci},
+	ybar=5pt,
+	bar width=9pt,
+	legend cell align={left}
+]
+
+\addplot coordinates {
+(\texttt{uN10},1.88337e-3)
+(\texttt{uN20},1.16253e-3)
+(\texttt{vN10A},1.00761e-2)
+(\texttt{vN20A},1.02424e-2)
+(\texttt{vN10B},1.77561e-3)
+(\texttt{vN20B},2.04335e-3)
+};
+
+\addplot coordinates {
+(\texttt{uN10},3.11534e-3)
+(\texttt{uN20},2.27404e-3)
+(\texttt{vN10A},2.71447e-2)
+(\texttt{vN20A},2.07924e-2)
+(\texttt{vN10B},3.11244e-3)
+(\texttt{vN20B},3.39432e-3)
+};
+
+\legend{Geschwindigkeit,Druck}
+\end{axis}
+\end{tikzpicture}
+
+\bigskip
+\begin{tabular}{l l l l}
+& Gitterstruktur & Geschwindigkeitsfehler & Druckfehler \\
+\hline
+\texttt{uN10} & \(11 \times 41\) & 1.88337e-3 & 3.11534e-3 \\
+\hline
+\texttt{uN20} & \(21 \times 81\) & 1.16253e-3 & 2.27404e-3 \\
+\hline
+\texttt{vN10A} & \(11 \times 21\) & 1.00761e-2 & 2.71447e-2 \\
+\texttt{vN20A} & \hphantom{\(11 \times 21\)} \(21 \times 43\) & 1.02424e-2 & 2.07924e-2 \\
+\hline
+\texttt{vN10B} & \(11 \times 41\) & 1.77561e-3 & 3.11244e-3 \\
+\texttt{vN20B} & \hphantom{\(11 \times 41\)} \(17 \times 41\) & 2.04335e-3 & 3.39432e-3 \\
+\end{tabular}
diff --git a/img/poiseuille2d_velocity_outflow.tikz b/img/poiseuille2d_velocity_outflow.tikz
index e6897e8..96eec84 100644
--- a/img/poiseuille2d_velocity_outflow.tikz
+++ b/img/poiseuille2d_velocity_outflow.tikz
@@ -11,9 +11,10 @@
 	width=0.4*\textwidth,
 	mark size=3,
 	legend cell align=left,
-	legend style={at={(0.9,-0.1)},anchor=north},
+	legend style={at={(1.05,-0.2)},anchor=north},
 	grid=both,
 	ylabel=\(x\)-Geschwindigkeit,
+	xlabel=\(y\)-Position,
 	xtick={0,0.25,0.5,0.75,1},
 	title=Geschwindigkeitsprofil,
 	every axis plot/.append style={thick}
@@ -26,7 +27,7 @@
 ] table [
 	x=y, y=ux
 ] {\refinedCubicIpol};
-\addlegendentry{Halbseitig verfeinertes Gitter mit kubischer Interpolation};
+\addlegendentry{Halbseitig verfeinertes \(n=10\) Gitter mit kubischer Interpolation};
 
 \addplot[
 	only marks,
@@ -35,7 +36,7 @@
 ] table [
 	x=y, y=ux
 ] {\refinedLinearIpol};
-\addlegendentry{Halbseitig verfeinertes Gitter mit linearer Interpolation};
+\addlegendentry{Halbseitig verfeinertes \(n=10\) Gitter mit linearer Interpolation};
 
 \addplot[
 	only marks,
@@ -44,7 +45,7 @@
 ] table [
 	x=y, y=ux
 ] {\borderlessRefine};
-\addlegendentry{Halbseitig randlos verfeinertes Gitter mit kubischer Interpolation};
+\addlegendentry{Halbseitig randlos verfeinertes \(n=10\) Gitter mit kubischer Interpolation};
 
 \addplot[
 	only marks,
@@ -53,7 +54,7 @@
 ] table[
 	x=y, y=ux
 ] {\unrefinedFine};
-\addlegendentry{Uniform fein aufgelöstes Gitter};
+\addlegendentry{Uniform fein mit \(n=20\) aufgelöstes Gitter};
 
 \addplot [domain=0:1, samples=100]{-4*x*(x-1)};
 \addlegendentry{Analytische Lösung}
@@ -68,9 +69,10 @@
 	xtick={0,0.25,0.5,0.75,1},
 	xshift=7cm,
 	scaled y ticks=false,
+	y tick label style={/pgf/number format/sci},
 	ylabel=Fehler,
+	xlabel=\(y\)-Position,
 	yticklabel pos=right,
-	y tick label style={/pgf/number format/sci},
 	title=Fehler zur analytischen Lösung,
 	every axis plot/.append style={thick}
 ]
-- 
cgit v1.2.3