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-rw-r--r-- | content.tex | 6 | ||||
-rw-r--r-- | img/restriction_base.tikz | 45 |
2 files changed, 51 insertions, 0 deletions
diff --git a/content.tex b/content.tex index c02ce30..b3b5054 100644 --- a/content.tex +++ b/content.tex @@ -480,6 +480,12 @@ Die skalierte Dekomposition \ref{eq:basicF2G} lässt sich in der Schreibweise vo Die für unser Verfahren \cite[Kap.~3.3]{Lagrava12} beschriebene Restriktion ist der Mittelwert aller umliegenden gerichteten Nicht-Equilibriumanteilen:
\[\resarg{i}{x_{f \to g}} := \frac{1}{q} \sum_{j=0}^{q-1} f_{f,i}^\text{neq}(x_{f \to g} + \delta x_f \xi_j) \numberthis\label{eq:neqAvgRestrictionF2G}\]
+\begin{figure}[H]
+\centering
+\input{img/restriction_base.tikz}
+\caption{Einzugsgebiet der Restriktionsoperation \(\resarg{7}{x_{f \to g}}\)}
+\end{figure}
+
\newpage
\subsubsection{Interpolation}\label{kap:Interpolation}
diff --git a/img/restriction_base.tikz b/img/restriction_base.tikz new file mode 100644 index 0000000..9c2c132 --- /dev/null +++ b/img/restriction_base.tikz @@ -0,0 +1,45 @@ +\begin{tikzpicture}[ + scale=2.0, + coarse/.style={circle,draw=black,very thick,inner sep=4}, + fine/.style={cross out,draw=gray,inner sep=2}, + usedArrow/.style={very thick,->,>=stealth}, + availableArrow/.style={draw=gray,->,>=stealth} +] + +\node[fine] at (0,0){ }; +\node[fine] at (1,0){ }; +\node[fine] at (2,0){ }; + +\node[fine] at (0,1){ }; +\node[fine] at (1,1){ }; +\node[coarse] at (1,1){ }; +\node[fine] at (2,1){ }; + +\node[fine] at (0,2){ }; +\node[fine] at (1,2){ }; +\node[fine] at (2,2){ }; + +\foreach \x in {0,...,2} + \foreach \y in {0,...,2} { + \draw[availableArrow] (\x+0.1,\y) -- (\x+0.3,\y){ }; + \draw[availableArrow] (\x+0.1,\y-0.1) -- (\x+0.3,\y-0.3){ }; + \draw[availableArrow] (\x,\y-0.1) -- (\x,\y-0.3){ }; + \draw[availableArrow] (\x-0.1,\y-0.1) -- (\x-0.3,\y-0.3){ }; + \draw[availableArrow] (\x-0.1,\y) -- (\x-0.3,\y){ }; + \draw[availableArrow] (\x-0.1,\y+0.1) -- (\x-0.3,\y+0.3){ }; + \draw[availableArrow] (\x,\y+0.1) -- (\x,\y+0.3){ }; + }; + +\draw[usedArrow] (2.1,2.1) -- (2.3,2.3){ }; +\draw[usedArrow] (2.1,1.1) -- (2.3,1.3){ }; +\draw[usedArrow] (2.1,0.1) -- (2.3,0.3){ }; + +\draw[usedArrow] (1.1,2.1) -- (1.3,2.3){ }; +\draw[usedArrow] (1.1,1.1) -- (1.3,1.3){ }; +\draw[usedArrow] (1.1,0.1) -- (1.3,0.3){ }; + +\draw[usedArrow] (0.1,2.1) -- (0.3,2.3){ }; +\draw[usedArrow] (0.1,1.1) -- (0.3,1.3){ }; +\draw[usedArrow] (0.1,0.1) -- (0.3,0.3){ }; + +\end{tikzpicture} |