All Figures

$\begin{figure} \par\includegraphics[width=8.4cm,clip]{4094_1.eps} \end{figure}$ Figure 1: Magnitude of the maximum of the nuclear energy generation rate for a density $\rho = \unit [5.0 \times 10^{7}]{g\ cm^{-3}}$ and different spatial resolutions $\unit [0.4]{cm}\ ({\rm ref}_{\rm max}=6)$ , $\unit [0.1]{cm}\ ({\rm ref}_{\rm max}=8)$ , $\unit [2.5 \times 10^{-2}]{cm}\ ({\rm ref}_{\rm max}=10)$ , and $\unit [6.25 \times 10^{-3}]{cm}\ ({\rm ref}_{\rm max}=12)$ .
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In the text

$\begin{figure} \par\includegraphics[width=8.5cm,clip]{4094_2.eps} \end{figure}$ Figure 2: Temperature, pressure, and nuclear energy generation profile of a detonation front for $\rho = \unit [5.0 \times 10^{7}]{g\ cm^{-3}}$ $\unit [4.0 \times 10^{7}]{s}$ after ignition. The dotted lines depict the detonation width b according to our definition.
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In the text

$\begin{figure} \par\includegraphics[width=8.3cm,clip]{4094_3.eps} \end{figure}$ Figure 3: Initial conditions for a system with $\rho = \unit [5.0 \times 10^{7}]{g\ cm^{-3}}$ and an ash obstacle type M2 with width $w = \unit [128]{cm}$ . From top to bottom: temperature, density, pressure.
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In the text

$\begin{figure} \par\includegraphics[width=8.4cm,clip]{4094_4.eps} \end{figure}$ Figure 4: Peak value of the pressure associated with the shock front over position for $\rho = \unit [5.0 \times 10^{7}]{g\ cm^{-3}}$ . The grey shaded areas illustrate the width of the obstacle from $w=\unit [4{-}256]{cm}$ . The legend shows the scaled width $w_{\rm s}$ of the obstacles.
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In the text

$\begin{figure} \par\subfigure[$\rho=3{,}2 \times 10^7~\rm g\ cm^{-3}$ , ash type... ... ash type M2] {\includegraphics[width=7cm,clip]{4094_5c.eps} }\par\end{figure}$ Figure 5: Temporal evolution of the mass fractions of the six most important isotopes within the obstacle for an eviromental density of $\rho = \unit [5.0 \times 10^{7}]{g\ cm^{-3}}$ . The legend shows the mass fractions of the specific isotopes at time $t=\unit [1{.}0 \times 10^{-6}]{s}$ .
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In the text

$\begin{figure} \par\includegraphics[width=8.4cm,clip]{4094_6.eps} \end{figure}$ Figure 6: Peak value of the pressure associated with the shock front over position for $\rho = \unit [3.2 \times 10^{7}]{g\ cm^{-3}}$ . The grey-shaded areas illustrate the width of the obstacle from $w=\unit [4{-}256]{cm}$ . The legend shows the scaled width $w_{\rm s}$ of the obstacles.
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In the text

$\begin{figure} \par\subfigure[temperature $T/\lg\left({\rm K}\right)$ ]{\include... ...graphics[trim=0 0 33 0, angle=90,width=8.8cm,clip]{4094_7c.eps} } \end{figure}$ Figure 7: Initial conditions for the 2D simulations with $\rho = \unit [5.0 \times 10^{7}]{g\ cm^{-3}}$ and a cirular obstacle of ash with radius $r=\unit [64]{cm}$ .
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In the text

$\begin{figure} \par\includegraphics [bb=330 100 518 662, trim=50 0 33 0, angle=... ... 518 662, trim=0 0 33 0, angle=90,width=8.8cm,clip] {4094_8f.eps} \end{figure}$ Figure 8: Carbon mass fraction using logarithmic scaling. The distance between the two semicircles is $\unit [16]{cm}$ .
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In the text

$\begin{figure} \par\includegraphics [bb=330 100 518 662, trim=50 0 33 0, angle=... ... 518 662, trim=0 0 33 0, angle=90,width=8.8cm,clip] {4094_9f.eps} \end{figure}$ Figure 9: Carbon mass fraction using logarithmic scaling. The distance between the two semicircles is $\unit [12]{cm}$ .
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In the text

$\begin{figure} \par\includegraphics[width=8.4cm,clip]{4094_1.eps} \end{figure}$	Figure 1: Magnitude of the maximum of the nuclear energy generation rate for a density $\rho = \unit [5.0 \times 10^{7}]{g\ cm^{-3}}$ and different spatial resolutions $\unit [0.4]{cm}\ ({\rm ref}_{\rm max}=6)$ , $\unit [0.1]{cm}\ ({\rm ref}_{\rm max}=8)$ , $\unit [2.5 \times 10^{-2}]{cm}\ ({\rm ref}_{\rm max}=10)$ , and $\unit [6.25 \times 10^{-3}]{cm}\ ({\rm ref}_{\rm max}=12)$ .
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$\begin{figure} \par\includegraphics[width=8.5cm,clip]{4094_2.eps} \end{figure}$	Figure 2: Temperature, pressure, and nuclear energy generation profile of a detonation front for $\rho = \unit [5.0 \times 10^{7}]{g\ cm^{-3}}$ $\unit [4.0 \times 10^{7}]{s}$ after ignition. The dotted lines depict the detonation width b according to our definition.
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$\begin{figure} \par\includegraphics[width=8.3cm,clip]{4094_3.eps} \end{figure}$	Figure 3: Initial conditions for a system with $\rho = \unit [5.0 \times 10^{7}]{g\ cm^{-3}}$ and an ash obstacle type M2 with width $w = \unit [128]{cm}$ . From top to bottom: temperature, density, pressure.
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$\begin{figure} \par\includegraphics[width=8.4cm,clip]{4094_4.eps} \end{figure}$	Figure 4: Peak value of the pressure associated with the shock front over position for $\rho = \unit [5.0 \times 10^{7}]{g\ cm^{-3}}$ . The grey shaded areas illustrate the width of the obstacle from $w=\unit [4{-}256]{cm}$ . The legend shows the scaled width $w_{\rm s}$ of the obstacles.
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$\begin{figure} \par\subfigure[$\rho=3{,}2 \times 10^7~\rm g\ cm^{-3}$ , ash type... ... ash type M2] {\includegraphics[width=7cm,clip]{4094_5c.eps} }\par\end{figure}$	Figure 5: Temporal evolution of the mass fractions of the six most important isotopes within the obstacle for an eviromental density of $\rho = \unit [5.0 \times 10^{7}]{g\ cm^{-3}}$ . The legend shows the mass fractions of the specific isotopes at time $t=\unit [1{.}0 \times 10^{-6}]{s}$ .
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$\begin{figure} \par\includegraphics[width=8.4cm,clip]{4094_6.eps} \end{figure}$	Figure 6: Peak value of the pressure associated with the shock front over position for $\rho = \unit [3.2 \times 10^{7}]{g\ cm^{-3}}$ . The grey-shaded areas illustrate the width of the obstacle from $w=\unit [4{-}256]{cm}$ . The legend shows the scaled width $w_{\rm s}$ of the obstacles.
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$\begin{figure} \par\subfigure[temperature $T/\lg\left({\rm K}\right)$ ]{\include... ...graphics[trim=0 0 33 0, angle=90,width=8.8cm,clip]{4094_7c.eps} } \end{figure}$	Figure 7: Initial conditions for the 2D simulations with $\rho = \unit [5.0 \times 10^{7}]{g\ cm^{-3}}$ and a cirular obstacle of ash with radius $r=\unit [64]{cm}$ .
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$\begin{figure} \par\includegraphics [bb=330 100 518 662, trim=50 0 33 0, angle=... ... 518 662, trim=0 0 33 0, angle=90,width=8.8cm,clip] {4094_8f.eps} \end{figure}$	Figure 8: Carbon mass fraction using logarithmic scaling. The distance between the two semicircles is $\unit [16]{cm}$ .
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$\begin{figure} \par\includegraphics [bb=330 100 518 662, trim=50 0 33 0, angle=... ... 518 662, trim=0 0 33 0, angle=90,width=8.8cm,clip] {4094_9f.eps} \end{figure}$	Figure 9: Carbon mass fraction using logarithmic scaling. The distance between the two semicircles is $\unit [12]{cm}$ .
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