\begin{table}%ta.2 %\centering \par \caption{\label{Tab:n2d-HD-models}Summary of 2D hydrodynamic supersonic models.} \tiny \begin{tabular}{lccccccccccc} \hline\hline \noalign{\smallskip} Name & $l_x$ & $l_y$ & $m_x \times m_y$ & $P_0$ & $U_0$ & $\Mach$ & $a$ & $k_x$ & BC & $\Gamma_{\rm num}$ & Oscillations\\ \hline HD2o-1-l & 1 & 4 & $200 \times 800$ & 1 & 2.322 & 1.8 & 0.05 & $2\pi$ & open & 0.97 & \\ HD2o-1 & 1 & 2 & $200 \times 400$ & 1 & 2.322 & 1.8 & 0.05 & $2\pi$ & open & 0.96 & \\ HD2o-1-i & 1 & 1 & $200 \times 200$ & 1 & 2.322 & 1.8 & 0.05 & $2\pi$ & open & 0.73 & \\ HD2o-1-s & 1 & 0.5 & $200 \times 100$ & 1 & 2.322 & 1.8 & 0.05 & $2\pi$ & open & 0.16 & $\surd$ \\ HD2o-2 & 1 & 2 & $200 \times 400$ & 1 & 2.451 & 1.9 & 0.05 & $2\pi$ & open & 0.30 & $\surd$ \\ HD2o-3 & 1 & 2 & $200 \times 400$ & 1 & 2.5155 & 1.95 & 0.05 & $2\pi$ & open & 0.26 & $\surd$ \\ HD2o-4 & 1 & 2 & $200 \times 400$ & 1 & 2.58 & 2 & 0.05 & $2\pi$ & open & 0 \\ HD2o-5 & 1 & 2 & $200 \times 400$ & 1 & 5.16 & 4 & 0.05 & $2\pi$ & open & 0 \\ %\hline HD2r-0 & 1 & 2 & $200 \times 400$ & 1 & 1.29 & 1 & 0.05 & $2\pi$ & reflecting & 1.73 & \\ HD2r-1 & 1 & 2 & $200 \times 400$ & 1 & 2.322 & 1.8 & 0.05 & $2\pi$ & reflecting & 0.96 & \\ HD2r-1-i & 1 & 1 & $200 \times 200$ & 1 & 2.322 & 1.8 & 0.05 & $2\pi$ & reflecting & 0.56 & \\ HD2r-1-s & 1 & 0.5 & $200 \times 100$ & 1 & 2.322 & 1.8 & 0.05 & $2\pi$ & reflecting & 0.56 & $\surd$ \\ HD2r-1-S & 1 & 0.25 & $200 \times 50$ & 1 & 2.322 & 1.8 & 0.05 & $2\pi$ & reflecting & 0.35 & $\surd$ \\ HD2r-4 & 1 & 2 & $200 \times 400$ & 1 & 2.58 & 2 & 0.05 & $2\pi$ & reflecting & 0.46 & $\surd$ \\ HD2r-4-HR & 1 & 2 & $400 \times 800$ & 1 & 2.58 & 2 & 0.05 & $2\pi$ & reflecting & 0.44 & $\surd$ \\ HD2r-5 & 1 & 2 & $200 \times 400$ & 1 & 5.16 & 4 & 0.05 & $2\pi$ & reflecting & 0.52 & $\surd$ \\ \hline \end{tabular} \tablefoot{The table entries are the same data as Table~\ref{Tab:n2d-grow-models} with the following exceptions: the column $\vec b_0$ is skipped, and we do not list a theoretical value of the growth rate. Instead, we give our choice of boundary conditions in the transverse direction in column ``BC''. In the last column, we indicate models for which the instability grows oscillatory by a confirmation mark, $\surd$. Note that model grw-3 of \tabref{Tab:n2d-grow-models} corresponds to model HD2r-0 with open boundaries.} \vspace*{3mm} %\end{table}