diff options
Diffstat (limited to 'img')
| -rw-r--r-- | img/cavity2D.pdf | bin | 0 -> 153410 bytes | |||
| -rw-r--r-- | img/cavity2d.png | bin | 0 -> 28162 bytes | |||
| -rw-r--r-- | img/cavity2d.tikz | 16 | ||||
| -rw-r--r-- | img/d2q9.tikz | 29 | ||||
| -rw-r--r-- | img/grid_factors.tikz | 57 | ||||
| -rw-r--r-- | img/grid_refinement_overlap_zone_1.png | bin | 0 -> 50027 bytes | |||
| -rw-r--r-- | img/grid_refinement_overlap_zone_2.png | bin | 0 -> 52852 bytes | |||
| -rw-r--r-- | img/kit-logo.jpg | bin | 0 -> 671621 bytes | |||
| -rw-r--r-- | img/linear_convergence.pdf | bin | 0 -> 35633 bytes | |||
| -rw-r--r-- | img/multi_domain.tikz | 38 | ||||
| -rw-r--r-- | img/multi_grid.tikz | 25 | ||||
| -rw-r--r-- | img/overlap_zone.tikz | 24 |
12 files changed, 189 insertions, 0 deletions
diff --git a/img/cavity2D.pdf b/img/cavity2D.pdf Binary files differnew file mode 100644 index 0000000..a326a98 --- /dev/null +++ b/img/cavity2D.pdf diff --git a/img/cavity2d.png b/img/cavity2d.png Binary files differnew file mode 100644 index 0000000..8409ec5 --- /dev/null +++ b/img/cavity2d.png diff --git a/img/cavity2d.tikz b/img/cavity2d.tikz new file mode 100644 index 0000000..cb99dba --- /dev/null +++ b/img/cavity2d.tikz @@ -0,0 +1,16 @@ +\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/d2q9.tikz b/img/d2q9.tikz new file mode 100644 index 0000000..bd44101 --- /dev/null +++ b/img/d2q9.tikz @@ -0,0 +1,29 @@ +\begin{tikzpicture}[ + scale=1.5, + dot/.style={circle,fill=black,inner sep=2pt}, + center/.style={circle,fill=red,inner sep=3pt}, + arrow/.style={thick,->,>=stealth} +] + +\node[dot,label=below left:\(\xi_3\)] at (0,0){ }; +\node[dot,label=below:\(\xi_4\)] at (1,0){ }; +\node[dot,label=below right:\(\xi_5\)] at (2,0){ }; + +\node[dot,label=left:\(\xi_2\)] at (0,1){ }; +\node[center] at (1,1){ }; +\node[dot,label=right:\(\xi_6\)] at (2,1){ }; + +\node[dot,label=above left:\(\xi_1\)] at (0,2){ }; +\node[dot,label=above:\(\xi_8\)] at (1,2){ }; +\node[dot,label=above right:\(\xi_7\)] at (2,2){ }; + +\draw[arrow] (1.0,1.2) -- (1.0,1.8); +\draw[arrow] (1.2,1.0) -- (1.8,1.0); +\draw[arrow] (1.0,0.8) -- (1.0,0.2); +\draw[arrow] (0.8,1.0) -- (0.2,1.0); + +\draw[arrow] (1.2,1.2) -- (1.8,1.8); +\draw[arrow] (1.2,0.8) -- (1.8,0.2); +\draw[arrow] (0.8,0.8) -- (0.2,0.2); +\draw[arrow] (0.8,1.2) -- (0.2,1.8); +\end{tikzpicture} diff --git a/img/grid_factors.tikz b/img/grid_factors.tikz new file mode 100644 index 0000000..edb80ae --- /dev/null +++ b/img/grid_factors.tikz @@ -0,0 +1,57 @@ +\begin{tikzpicture}[ + cavity/.style = { + matrix of nodes, + nodes in empty cells, + column sep = -\pgflinewidth, + row sep = -\pgflinewidth, + nodes={ + inner sep=0mm, + outer sep=0pt, + minimum size=5mm, + text height=\ht\strutbox, + text depth=\dp\strutbox, + draw + } + } +] + +\matrix[cavity,label=below:{\(N=15\)}] { + 5 & 4 & 4 & 4 & 5 \\ + 3 & 3 & 2 & 3 & 4 \\ + 2 & 2 & 2 & 2 & 3 \\ + 1 & 1 & 1 & 1 & 1 \\ + 0 & 1 & 1 & 1 & 0 \\ +}; + +\matrix[cavity,label=below:{\(N=30\)}] at (3, 0) { + 4 & 3 & 3 & 3 & 4 \\ + 1 & 1 & 1 & 1 & 2 \\ + 1 & 0 & 0 & 1 & 2 \\ + 0 & 0 & 0 & 1 & 0 \\ + 0 & 0 & 0 & 0 & 0 \\ +}; + +\matrix[cavity,label=below:{\(N=60\)}] at (6, 0) { + 3 & 2 & 2 & 2 & 3 \\ + 0 & 0 & 0 & 0 & 1 \\ + 0 & 0 & 0 & 0 & 0 \\ + 0 & 0 & 0 & 0 & 0 \\ + 0 & 0 & 0 & 0 & 0 \\ +}; + +\matrix[cavity,label=below:{\(N=120\)}] at (9, 0) { + 2 & 1 & 1 & 1 & 2 \\ + 0 & 0 & 0 & 0 & 0 \\ + 0 & 0 & 0 & 0 & 0 \\ + 0 & 0 & 0 & 0 & 0 \\ + 0 & 0 & 0 & 0 & 0 \\ +}; + +\matrix[cavity,label=below:{\(N=240\)}] at (12, 0) { + 1 & 0 & 0 & 0 & 1 \\ + 0 & 0 & 0 & 0 & 0 \\ + 0 & 0 & 0 & 0 & 0 \\ + 0 & 0 & 0 & 0 & 0 \\ + 0 & 0 & 0 & 0 & 0 \\ +}; +\end{tikzpicture} diff --git a/img/grid_refinement_overlap_zone_1.png b/img/grid_refinement_overlap_zone_1.png Binary files differnew file mode 100644 index 0000000..34e7c5b --- /dev/null +++ b/img/grid_refinement_overlap_zone_1.png diff --git a/img/grid_refinement_overlap_zone_2.png b/img/grid_refinement_overlap_zone_2.png Binary files differnew file mode 100644 index 0000000..4210a50 --- /dev/null +++ b/img/grid_refinement_overlap_zone_2.png diff --git a/img/kit-logo.jpg b/img/kit-logo.jpg Binary files differnew file mode 100644 index 0000000..5da07af --- /dev/null +++ b/img/kit-logo.jpg diff --git a/img/linear_convergence.pdf b/img/linear_convergence.pdf Binary files differnew file mode 100644 index 0000000..a1176fe --- /dev/null +++ b/img/linear_convergence.pdf diff --git a/img/multi_domain.tikz b/img/multi_domain.tikz new file mode 100644 index 0000000..8b9a02c --- /dev/null +++ b/img/multi_domain.tikz @@ -0,0 +1,38 @@ +\begin{tikzpicture}[ + scale=0.4, + coarse/.style={circle,draw=black,inner sep=2pt}, + fine/.style={circle,draw=black,inner sep=1pt} +] + +\foreach \x in {0,...,3} + \foreach \y in {0,...,7} + \node[coarse] at (\x,\y){ }; +\foreach \x in {4,...,7} + \foreach \y in {0,...,2} + \node[coarse] at (\x,\y){ }; +\foreach \x in {4,...,7} + \foreach \y in {5,...,7} + \node[coarse] at (\x,\y){ }; + +\draw (9,3.5) node[cross out,draw=black,line width=0.5mm,rotate=45]{}; + +\foreach \x in {0,...,10} + \foreach \y in {0,...,10} + \node[fine] at (11+0.5*\x,1+0.5*\y){ }; + +\draw[->,line width=0.5mm] (18,3.5) -- (20,3.5); + +\foreach \x in {22,...,25} + \foreach \y in {0,...,7} + \node[coarse] at (\x,\y){ }; +\foreach \x in {26,...,29} + \foreach \y in {0,...,2} + \node[coarse] at (\x,\y){ }; +\foreach \x in {26,...,29} + \foreach \y in {5,...,7} + \node[coarse] at (\x,\y){ }; + +\foreach \x in {0,...,10} + \foreach \y in {0,...,10} + \node[fine] at (24+0.5*\x,1+0.5*\y){ }; +\end{tikzpicture} diff --git a/img/multi_grid.tikz b/img/multi_grid.tikz new file mode 100644 index 0000000..28661c5 --- /dev/null +++ b/img/multi_grid.tikz @@ -0,0 +1,25 @@ +\begin{tikzpicture}[ + scale=0.4, + coarse/.style={circle,draw=black,inner sep=2pt}, + fine/.style={circle,draw=black,inner sep=1pt} +] + +\foreach \x in {0,...,7} + \foreach \y in {0,...,7} + \node[coarse] at (\x,\y){ }; + +\draw (9,3.5) node[cross out,draw=black,line width=0.5mm,rotate=45]{}; + +\foreach \x in {0,...,8} + \foreach \y in {0,...,8} + \node[fine] at (11+0.5*\x,1+0.5*\y){ }; + +\draw[->,line width=0.5mm] (18,3.5) -- (20,3.5); + +\foreach \x in {0,...,7} + \foreach \y in {0,...,7} + \node[coarse] at (22+\x,\y){ }; +\foreach \x in {0,...,8} + \foreach \y in {0,...,8} + \node[fine] at (24+0.5*\x,1+0.5*\y){ }; +\end{tikzpicture} diff --git a/img/overlap_zone.tikz b/img/overlap_zone.tikz new file mode 100644 index 0000000..a491292 --- /dev/null +++ b/img/overlap_zone.tikz @@ -0,0 +1,24 @@ +\begin{tikzpicture}[ + scale=1.5, + coarse/.style={circle,draw=black,thick,inner sep=4pt}, + fine/.style={cross out,draw=black,thick,minimum size=8pt}, + arrow/.style={-{Latex[length=2mm]},thick} +] + +\foreach \x in {-1,...,3} + \foreach \y in {0,...,2} + \node[coarse] at (\x,\y){ }; + +\foreach \x in {0,...,8} + \foreach \y in {0,...,4} + \node[fine] at (2+\x*0.5,\y*0.5){ }; + +\draw[dashed,thick] (1.8,-0.2) rectangle (2.2,2.2); +\draw[dashed,thick] (2.8,-0.2) rectangle (3.2,2.2); + +\draw[arrow] (2,3.3) node[right] {Übertragung von grob nach fein} -- (2,2.3); +\draw[arrow] (3,2.8) node[right] {Übertragung von fein nach grob} -- (3,2.3); + +\draw[decorate,decoration={brace,amplitude=10pt,mirror},line width=1pt] +(1.8,-0.4) -- (3.2,-0.4) node[midway,below,yshift=-6pt] {Übergangsbereich}; +\end{tikzpicture} |
