\begin{table}%t3 \caption{\label{table:sizes_summary}Time-averaged properties of the core size PDFs for solenoidal and compressive forcing.} %\centering \par \begin{tabular}{cccccc} \hline \hline \noalign{\smallskip} \multicolumn{6}{c}{Solenoidal forcing, $\zeta=1.0$}\\ \hline Grid points & $N_{{\rm BE}}$ & Turbulent support& $\left<\overline{r}\right>\ [{\rm cells}]$ & $\left<\sigma_{r}\right>\ [{\rm cells}]$ & $\left [\%]$ \\ \hline ${\rm 256}^3$ &$1.2\times 10^{5}$ & no & $3.72\pm0.08\phantom{0}$ & $1.74\pm0.05\phantom{0}$ & $15.8\pm1.6\phantom{0}$ \\ ${\rm 256}^3$ &$1.2\times 10^{5}$ & yes & $3.70\pm0.08$ & $1.77\pm0.05$ & $16.7\pm1.7$ \\ ${\rm 256}^3$ &$1.0\times 10^{3}$ & no & $10.5\pm0.5$ & $3.4\pm0.3$ & $0$ \\ ${\rm 256}^3$ &$1.0\times 10^{3}$ & yes & $12.8\pm1.0$ & $4.8\pm0.7$ & $0$ \\ ${\rm 512}^3$ &$1.2\times 10^{5}$ & no &$5.78\pm0.12$ & $2.51\pm0.05$ & $1.4\pm0.5$ \\ ${\rm 512}^3$ &$1.2\times 10^{5}$ & yes &$5.82\pm0.13$ & $2.60\pm0.06$ & $1.6\pm0.5$ \\ ${\rm 512}^3$ &$1.0\times 10^{3}$ & no & $18.4\pm0.8$ & $6.1\pm0.5$ & $0$ \\ ${\rm 512}^3$ &$1.0\times 10^{3}$ & yes & $26.3\pm3.0$ & $10.7\pm1.9$ & $0$ \\ ${\rm 1024}^3$ &$1.2\times 10^{5}$ & no &$9.37\pm0.22$ & $4.17\pm0.10$ & $0.037\pm0.044$ \\ ${\rm 1024}^3$ &$1.2\times 10^{5}$ & yes &$9.82\pm0.24$ & $4.56\pm0.12$ & $0.041\pm0.050$ \\ ${\rm 1024}^3$ &$1.0\times 10^{3}$ & no & $34.5\pm1.8$ & $11.7\pm1.1$ & $0$ \\ ${\rm 1024}^3$ &$1.0\times 10^{3}$ & yes & $60.8\pm7.6$ & $23.1\pm4.3$ & $0$ \\ \hline %inserts single line \multicolumn{6}{c}{Compressive forcing, $\zeta=0.0$}\\ \hline ${\rm 256}^3$ &$1.2\times 10^{5}$ & no & $2.98\pm0.15\phantom{0}$ & $1.67\pm0.11\phantom{0}$ & $34.8\pm3.6\phantom{0}$ \\ ${\rm 256}^3$ &$1.2\times 10^{5}$ & yes & $2.94\pm0.15$ & $1.68\pm0.11$ & $35.9\pm3.6$ \\ ${\rm 256}^3$ &$1.0\times 10^{3}$ & no & $6.0\pm0.6$ & $3.3\pm0.5$ & $2.9\pm2.9$\\ ${\rm 256}^3$ &$1.0\times 10^{3}$ &yes & $5.8\pm0.6$ & $3.4\pm0.6$ & $3.5\pm3.6$\\ ${\rm 512}^3$ &$1.2\times 10^{5}$ & no & $4.18\pm0.19$ & $2.28\pm0.11$ & $14.7\pm3.8$ \\ ${\rm 512}^3$ &$1.2\times 10^{5}$ & yes & $4.10\pm0.19$ & $2.29\pm0.12$ & $15.9\pm2.8$ \\ ${\rm 512}^3$ &$1.0\times 10^{3}$ & no & $9.0\pm0.8$ & $4.7\pm0.9$ & $0.04\pm0.18$ \\ ${\rm 512}^3$ &$1.0\times 10^{3}$ & yes & $8.9\pm0.9$ & $5.0\pm1.2$ & $0.039 \pm 0.2$ \\ ${\rm 1024}^3$ &$1.2\times 10^{5}$ & no & $6.07\pm0.37$ & $3.42\pm0.23$ & $3.7\pm1.4$ \\ ${\rm 1024}^3$ &$1.2\times 10^{5}$ & yes & $5.95\pm0.38$ & $3.45\pm0.25$ & $4.2\pm1.6$ \\ ${\rm 1024}^3$ &$1.0\times 10^{3}$ & no & $15.1\pm1.9$ & $9.0\pm1.7$ & $0.008\pm0.07$ \\ ${\rm 1024}^3$ &$1.0\times 10^{3}$ & yes & $16.0\pm2.4$ & $11.0\pm2.6$ & $0.012\pm0.10$ \\ \hline %inserts single line \end{tabular} \end{table}