\begin{table}%t1
\par
\caption{\label{table:cases}Parameters of the simulations and estimated values of other
nondimensional parameters at the
initial vortex position. For comparison we also give values of some
parameters for Godon \& Livio (\cite{Godon1999}) and Davis (\cite{Davis2002}) simulations.}
%\centering
\par
\begin{tabular}{lccccccc}
  \hline \hline
    & ${c_{\rm s}}/v_{kv} \left({=}H/r \right)$ & $a$ & $n$ & ${\Delta d}/{r}$  &
    ${\Delta d}/{H}$  & ${v_{\rm M}}/{V_{{\rm Kep}}}$   &  $N$ \\
\hline 
A   & 0.26   &  0.1   & 0 & 0.25  & 1   & 0.0034   &  0.054       \\
 B   & 0.08   &  0.1   & 0 & 0.25  & 3.1 & 0.0034   & 0.054        \\
C   & 0.26   &  0.01  & 0 & 0.025 & 0.1 & 0.00034  & 0.054        \\
D   & 0.26   &  0.1   & 2 & 0.5   & 2	& 0.0015   & 0.015        \\
Godon \& Livio (1999) & 0.15 & --  & --  & 0.05 & 0.33 & 0.03 & 2.4 \\
Davis (2002)  & 0.075 & --  & --  & 0.25 & 3.3  & 0.08 & 1.3	 \\
\hline
\end{tabular}
\end{table}