Astronomy & Astrophysics

All Figures

$\begin{figure} \par\subfigure[]{\includegraphics[width=6.5cm,clip]{0721fig1.eps} } \subfigure[]{\includegraphics[width=6.5cm,clip]{0721fig2.eps} }\end{figure}$ Figure 1: Fluid velocity in the simulation with $\rho_ {\rm u}= 5 \times 10^7 ~{\rm g} ~{\rm cm}^{-3}$ and $100 \times 100$ cells resolution. The x-axis and the y-axis show position in cm; the z-axis represents $\vert\ensuremath\mbox{\boldmath{$v$ }}\vert/s_{\rm l}$ a) snapshot at $t=0.01 ~{\rm s}$ , b) snapshot at $t=0.09 ~{\rm s}$ .
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width=14.4cm,clip]{0721fig3.eps} \end{figure}$ Figure 2: Flame propagation into quiescent fuel at $\rho_ {\rm u}= 5 \times 10^7 ~{\rm g} ~{\rm cm}^{-3}$ ; resolution: $200 \times 200$ cells, periodic boundary conditions; snapshots taken at a) 0, b) 5, c) 7.5, d) 10, e) 15, and f) 30 growth times $\tau _{\rm LD} = \omega _{\rm LD}^{-1}$ of a perturbation with $\lambda =200 \Delta x$ . The vorticity $\zeta$ (cf. Eq. (9)) is color-coded and the flame position is indicated by solid white curves.
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width=14.4cm,clip]{0721fig4.eps} \end{figure}$ Figure 3: Flame propagation into quiescent fuel at $\rho_ {\rm u}= 5 \times 10^7 ~{\rm g} ~{\rm cm}^{-3}$ ; resolution: $200 \times 200$ cells, reflecting boundary conditions; snapshots taken at a) 0, b) 5, c) 7.5, d) 10, e) 15, and f) 30 growth times $\tau _{\rm LD} = \omega _{\rm LD}^{-1}$ of a perturbation with $\lambda =200 \Delta x$ . The vorticity $\zeta$ (cf. Eq. (9)) is color-coded and the flame position is indicated by solid white curves.
Open with DEXTER

In the text

$\begin{figure} \par\subfigure[]{\includegraphics[width=8.2cm,clip]{0721fig5.eps} } \subfigure[]{\includegraphics[width=8.2cm,clip]{0721fig6.eps} }\end{figure}$ Figure 4: Evolution of the flame front for $\rho_ {\rm u}= 5 \times 10^7 ~{\rm g} ~{\rm cm}^{-3}$ a) with periodic boundaries in the y-direction, b) with reflecting boundaries in the y-direction. Each contour marks a time step of 0.5 $\tau_{\rm LD}(\lambda_{\rm pert}=3.2 \times 10^4~{\rm cm})$ . The contours are artificially shifted for better visibility and do not reflect the actual flame propagation velocity.
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width=8.2cm,clip]{0721fig7.eps} \end{figure}$ Figure 5: Velocity field in a simulation with a fuel density of $\rho_ {\rm u}= 5 \times 10^7 ~{\rm g} ~{\rm cm}^{-3}$ and $100 \times 100$ cells resolution at $t=0.09 ~{\rm s}$ ; solid curve indicates flame position.
Open with DEXTER

In the text

$\begin{figure} \par\subfigure[]{\includegraphics[width=8.3cm,clip]{0721fig8.eps} } \subfigure[]{\includegraphics[width=8.3cm,clip]{0721fig9.eps} } \end{figure}$ Figure 6: Evolution of the flame front at a) $\rho_{\rm u}=2.5\times 10^7 ~{\rm g}~{\rm cm}^{-3}$ and b) $\rho_ {\rm u}= 5 \times 10^7 ~{\rm g} ~{\rm cm}^{-3}$ . The contours mark evolution steps of 0.2 $\tau _{\rm LD}$ . Every 10th contour is highlighted bold for better visibility.
Open with DEXTER

In the text

$\begin{figure} \par\subfigure[]{\includegraphics[width=8.2cm,clip]{0721fig10.eps} } \subfigure[]{\includegraphics[width=8.2cm,clip]{0721fig11.eps} } \end{figure}$ Figure 7: Evolution of the flame front at a) $\rho_{\rm u}=1\times 10^7 ~{\rm g}~{\rm cm}^{-3}$ and b) $\rho_{\rm u}=1.25 \times 10^7 ~{\rm g}~{\rm cm}^{-3}$ . The contours mark evolution steps of 0.2 $\tau _{\rm LD}$ . Every 10th contour is highlighted bold for better visibility.
Open with DEXTER

In the text

$\begin{figure} \par\subfigure[]{\includegraphics[width=8.2cm,clip]{0721fig12.eps} } \subfigure[]{\includegraphics[width=8.2cm,clip]{0721fig13.eps} } \end{figure}$ Figure 8: Evolution of the flame front at a) $\rho_{\rm u}=7.5\times 10^7 ~{\rm g}~{\rm cm}^{-3}$ and b) $\rho_{\rm u}=1\times 10^8 ~{\rm g}~{\rm cm}^{-3}$ . The contours mark evolution steps of 0.2 $\tau _{\rm LD}$ . Every 10th contour is highlighted bold for better visibility.
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width=8.5cm,clip]{0721fig14.eps} \end{figure}$ Figure 9: Evolution of the flame front at $\rho_{\rm u} = 1\times 10^9 ~{\rm g}~{\rm cm}^{-3}$ . The contours mark evolution steps of 0.2 $\tau _{\rm LD}$ . Every 10th contour is highlighted bold for better visibility.
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width=14.2cm,clip]{0721fig15.eps} \end{figure}$ Figure 10: Increase in flame surface area at fuel densities of a) $\rho_{\rm u}=1.25 \times 10^7 ~{\rm g}~{\rm cm}^{-3}$ , b) $\rho_ {\rm u}= 5 \times 10^7 ~{\rm g} ~{\rm cm}^{-3}$ , c) $\rho_{\rm u}=1\times 10^8 ~{\rm g}~{\rm cm}^{-3}$ , d) $\rho_{\rm u} = 1\times 10^9 ~{\rm g}~{\rm cm}^{-3}$ .
Open with DEXTER

In the text

$\begin{figure} \par\subfigure[]{\includegraphics[width=6.5cm,clip]{0721fig1.eps} } \subfigure[]{\includegraphics[width=6.5cm,clip]{0721fig2.eps} }\end{figure}$	Figure 1: Fluid velocity in the simulation with $\rho_ {\rm u}= 5 \times 10^7 ~{\rm g} ~{\rm cm}^{-3}$ and $100 \times 100$ cells resolution. The x-axis and the y-axis show position in cm; the z-axis represents $\vert\ensuremath\mbox{\boldmath{$v$ }}\vert/s_{\rm l}$ a) snapshot at $t=0.01 ~{\rm s}$ , b) snapshot at $t=0.09 ~{\rm s}$ .
Open with DEXTER

$\begin{figure} \par\includegraphics[width=8.2cm,clip]{0721fig7.eps} \end{figure}$	Figure 5: Velocity field in a simulation with a fuel density of $\rho_ {\rm u}= 5 \times 10^7 ~{\rm g} ~{\rm cm}^{-3}$ and $100 \times 100$ cells resolution at $t=0.09 ~{\rm s}$ ; solid curve indicates flame position.
Open with DEXTER

$\begin{figure} \par\subfigure[]{\includegraphics[width=8.3cm,clip]{0721fig8.eps} } \subfigure[]{\includegraphics[width=8.3cm,clip]{0721fig9.eps} } \end{figure}$	Figure 6: Evolution of the flame front at a) $\rho_{\rm u}=2.5\times 10^7 ~{\rm g}~{\rm cm}^{-3}$ and b) $\rho_ {\rm u}= 5 \times 10^7 ~{\rm g} ~{\rm cm}^{-3}$ . The contours mark evolution steps of 0.2 $\tau _{\rm LD}$ . Every 10th contour is highlighted bold for better visibility.
Open with DEXTER

$\begin{figure} \par\subfigure[]{\includegraphics[width=8.2cm,clip]{0721fig10.eps} } \subfigure[]{\includegraphics[width=8.2cm,clip]{0721fig11.eps} } \end{figure}$	Figure 7: Evolution of the flame front at a) $\rho_{\rm u}=1\times 10^7 ~{\rm g}~{\rm cm}^{-3}$ and b) $\rho_{\rm u}=1.25 \times 10^7 ~{\rm g}~{\rm cm}^{-3}$ . The contours mark evolution steps of 0.2 $\tau _{\rm LD}$ . Every 10th contour is highlighted bold for better visibility.
Open with DEXTER

$\begin{figure} \par\subfigure[]{\includegraphics[width=8.2cm,clip]{0721fig12.eps} } \subfigure[]{\includegraphics[width=8.2cm,clip]{0721fig13.eps} } \end{figure}$	Figure 8: Evolution of the flame front at a) $\rho_{\rm u}=7.5\times 10^7 ~{\rm g}~{\rm cm}^{-3}$ and b) $\rho_{\rm u}=1\times 10^8 ~{\rm g}~{\rm cm}^{-3}$ . The contours mark evolution steps of 0.2 $\tau _{\rm LD}$ . Every 10th contour is highlighted bold for better visibility.
Open with DEXTER

$\begin{figure} \par\includegraphics[width=8.5cm,clip]{0721fig14.eps} \end{figure}$	Figure 9: Evolution of the flame front at $\rho_{\rm u} = 1\times 10^9 ~{\rm g}~{\rm cm}^{-3}$ . The contours mark evolution steps of 0.2 $\tau _{\rm LD}$ . Every 10th contour is highlighted bold for better visibility.
Open with DEXTER

$\begin{figure} \par\includegraphics[width=14.2cm,clip]{0721fig15.eps} \end{figure}$	Figure 10: Increase in flame surface area at fuel densities of a) $\rho_{\rm u}=1.25 \times 10^7 ~{\rm g}~{\rm cm}^{-3}$ , b) $\rho_ {\rm u}= 5 \times 10^7 ~{\rm g} ~{\rm cm}^{-3}$ , c) $\rho_{\rm u}=1\times 10^8 ~{\rm g}~{\rm cm}^{-3}$ , d) $\rho_{\rm u} = 1\times 10^9 ~{\rm g}~{\rm cm}^{-3}$ .
Open with DEXTER