Add velocity profile of borderless poiseuille refinement

i.e. experimental evidence for naming border conditions inside of
     coupling areas root of the problem.

2 files changed, 41 insertions, 2 deletions

diff --git a/img/data/poiseuille2d_borderless_refine_velocity_profile_at_3.csv b/img/data/poiseuille2d_borderless_refine_velocity_profile_at_3.csv
new file mode 100644
index 0000000..58621e4
--- /dev/null
+++ b/img/data/poiseuille2d_borderless_refine_velocity_profile_at_3.csv
@@ -0,0 +1,20 @@
+geometry,ux,uy,p,x,y
+2.00000000e+00,0.00000000e+00,0.00000000e+00,7.98239648e-01,3.00000000e+00,0.00000000e+00
+1.00000000e+00,3.58970433e-01,3.31491401e-06,7.98365772e-01,3.00000000e+00,1.00000001e-01
+1.00000000e+00,5.09612501e-01,6.69445944e-06,7.98309624e-01,3.00000000e+00,1.50000006e-01
+1.00000000e+00,6.40170455e-01,9.24223787e-06,7.98298597e-01,3.00000000e+00,2.00000003e-01
+1.00000000e+00,7.50642061e-01,1.10856099e-05,7.98299968e-01,3.00000000e+00,2.50000000e-01
+1.00000000e+00,8.41026962e-01,1.15535386e-05,7.98303604e-01,3.00000000e+00,3.00000012e-01
+1.00000000e+00,9.11326647e-01,1.02199365e-05,7.98296034e-01,3.00000000e+00,3.49999994e-01
+1.00000000e+00,9.61540699e-01,7.73406464e-06,7.98290074e-01,3.00000000e+00,4.00000006e-01
+1.00000000e+00,9.91669297e-01,4.30808541e-06,7.98290670e-01,3.00000000e+00,4.49999988e-01
+1.00000000e+00,1.00171196e+00,-1.02215786e-14,7.98292458e-01,3.00000000e+00,5.00000000e-01
+1.00000000e+00,9.91669297e-01,-4.30808541e-06,7.98290670e-01,3.00000000e+00,5.50000012e-01
+1.00000000e+00,9.61540699e-01,-7.73406464e-06,7.98290074e-01,3.00000000e+00,6.00000024e-01
+1.00000000e+00,9.11326647e-01,-1.02199365e-05,7.98296034e-01,3.00000000e+00,6.49999976e-01
+1.00000000e+00,8.41026962e-01,-1.15535386e-05,7.98303604e-01,3.00000000e+00,6.99999988e-01
+1.00000000e+00,7.50642061e-01,-1.10856099e-05,7.98299968e-01,3.00000000e+00,7.50000000e-01
+1.00000000e+00,6.40170455e-01,-9.24223878e-06,7.98298597e-01,3.00000000e+00,8.00000012e-01
+1.00000000e+00,5.09612501e-01,-6.69445944e-06,7.98309624e-01,3.00000000e+00,8.50000024e-01
+1.00000000e+00,3.58970433e-01,-3.31491401e-06,7.98365772e-01,3.00000000e+00,8.99999976e-01
+2.00000000e+00,0.00000000e+00,0.00000000e+00,7.98239648e-01,3.00000000e+00,1.00000000e+00
diff --git a/img/poiseuille2d_velocity_outflow.tikz b/img/poiseuille2d_velocity_outflow.tikz
index ccc9711..e6897e8 100644
--- a/img/poiseuille2d_velocity_outflow.tikz
+++ b/img/poiseuille2d_velocity_outflow.tikz
@@ -3,12 +3,13 @@
 \pgfplotstableread[col sep=comma]{img/data/poiseuille2d_refined_order2ipol_velocity_profile_at_3.csv}\refinedLinearIpol
 %\pgfplotstableread[col sep=comma]{img/data/poiseuille2d_unrefined_coarse_velocity_profile_at_3.csv}\unrefinedCoarse
 \pgfplotstableread[col sep=comma]{img/data/poiseuille2d_unrefined_fine_velocity_profile_at_3.csv}\unrefinedFine
+\pgfplotstableread[col sep=comma]{img/data/poiseuille2d_borderless_refine_velocity_profile_at_3.csv}\borderlessRefine
 
 \begin{axis}[
 	scale only axis,
 	height=8cm,
 	width=0.4*\textwidth,
-	mark size=4,
+	mark size=3,
 	legend cell align=left,
 	legend style={at={(0.9,-0.1)},anchor=north},
 	grid=both,
@@ -38,6 +39,15 @@
 
 \addplot[
 	only marks,
+	mark=star,
+	color=gray!50!black
+] table [
+	x=y, y=ux
+] {\borderlessRefine};
+\addlegendentry{Halbseitig randlos verfeinertes Gitter mit kubischer Interpolation};
+
+\addplot[
+	only marks,
 	mark=asterisk,
 	color=blue!50!white
 ] table[
@@ -53,7 +63,7 @@
 	scale only axis,
 	height=8cm,
 	width=0.4*\textwidth,
-	mark size=4,
+	mark size=3,
 	grid=both,
 	xtick={0,0.25,0.5,0.75,1},
 	xshift=7cm,
@@ -85,6 +95,15 @@
 
 \addplot[
 	only marks,
+	mark=star,
+	color=gray!50!black
+] table [
+	x=y,
+	y expr=\thisrow{ux}+4*\thisrow{y}*(\thisrow{y}-1)
+] {\borderlessRefine};
+
+\addplot[
+	only marks,
 	mark=asterisk,
 	color=blue!50!white
 ] table[