diff options
Diffstat (limited to 'img')
| -rw-r--r-- | img/poiseuille2d_error_comparison.tikz | 52 | ||||
| -rw-r--r-- | img/poiseuille2d_velocity_outflow.tikz | 14 |
2 files changed, 60 insertions, 6 deletions
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} ] |