## 3 Results and Discussion
### Flux Type
#### 3.4.1 Results of ROE Flux Type
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Simulation**} & \multicolumn{8}{c}{**Mean Error Ratios under Different Configurations**} \\ \cline{2-10}  & \multicolumn{3}{c}{**12 m**} & \multicolumn{3}{c}{**16 m**} & \multicolumn{3}{c}{**20 m**} \\ \cline{2-10}  & \multicolumn{1}{c}{P/P\({}_{t}\)} & \multicolumn{1}{c}{T/T\({}_{t}\)} & \multicolumn{1}{c}{U/U\({}_{t}\)} & \multicolumn{1}{c}{P/P\({}_{t}\)} & \multicolumn{1}{c}{T/T\({}_{t}\)} & \multicolumn{1}{c}{U/U\({}_{t}\)} & \multicolumn{1}{c}{P/P\({}_{t}\)} & \multicolumn{1}{c}{T/T\({}_{t}\)} & \multicolumn{1}{c}{U/U\({}_{t}\)} \\ \hline SST + & \multirow{2}{*}{8.94\%} & \multirow{2}{*}{5.91\%} & \multirow{2}{*}{4.07\%} & \multirow{2}{*}{8.16\%} & \multirow{2}{*}{13.63\%} & \multirow{2}{*}{5.25\%} & \multirow{2}{*}{9.47\%} & \multirow{2}{*}{6.02\%} & \multirow{2}{*}{2.86\%} \\ blunt & & & & & & & & & \\ \hline SA + & \multirow{2}{*}{3.62\%} & \multirow{2}{*}{5.56\%} & \multirow{2}{*}{1.14\%} & \multirow{2}{*}{5.89\%} & \multirow{2}{*}{6.11\%} & \multirow{2}{*}{3.63\%} & \multirow{2}{*}{7.27\%} & \multirow{2}{*}{1.68\%} & \multirow{2}{*}{2.22\%} \\ blunt & & & & & & & & & \\ \hline SST + & \multirow{2}{*}{10.41\%} & \multirow{2}{*}{8.54\%} & \multirow{2}{*}{4.38\%} & \multirow{2}{*}{5.96\%} & \multirow{2}{*}{8.19\%} & \multirow{2}{*}{2.07\%} & \multirow{2}{*}{15.30\%} & \multirow{2}{*}{8.00\%} & \multirow{2}{*}{2.38\%} \\ NACA4 & & & & & & & & & \\ \hline SA + & \multirow{2}{*}{8.52\%} & \multirow{2}{*}{3.55\%} & \multirow{2}{*}{1.40\%} & \multirow{2}{*}{5.12\%} & \multirow{2}{*}{4.57\%} & \multirow{2}{*}{1.71\%} & \multirow{2}{*}{15.45\%} & \multirow{2}{*}{9.74\%} & \multirow{2}{*}{2.06\%} \\ NACA4 & & & & & & & & \\ \hline
**SST + 132** & \multirow{2}{*}{**4.32\%**} & \multirow{2}{*}{**2.88\%**} & \multirow{2}{*}{**2.21\%**} & \multirow{2}{*}{2.78\%} & \multirow{2}{*}{6.14\%} & \multirow{2}{*}{1.78\%} & \multirow{2}{*}{4.14\%} & \multirow{2}{*}{4.64\%} & \multirow{2}{*}{2.83\%} \\
**points** & & & & & & & & \\ \hline SA + 132 & \multirow{2}{*}{8.91\%} & \multirow{2}{*}{6.31\%} & \multirow{2}{*}{3.91\%} & \multirow{2}{*}{7.32\%} & \multirow{2}{*}{5.83\%} & \multirow{2}{*}{1.26\%} & \multirow{2}{*}{13.73\%} & \multirow{2}{*}{7.50\%} & \multirow{2}{*}{2.34\%} \\ points & & & & & & & & & \\ \hline SST + 200 & \multirow{2}{*}{8.02\%} & \multirow{2}{*}{7.94\%} & \multirow{2}{*}{1.77\%} & \multirow{2}{*}{3.74\%} & \multirow{2}{*}{4.06\%} & \multirow{2}{*}{2.00\%} & \multirow{2}{*}{9.84\%} & \multirow{2}{*}{5.13\%} & \multirow{2}{*}{2.19\%} \\ points & & & & & & & & & \\ \hline SA + 200 & \multirow{2}{*}{7.83\%} & \multirow{2}{*}{4.63\%} & \multirow{2}{*}{1.76\%} & \multirow{2}{*}{4.79\%} & \multirow{2}{*}{3.75\%} & \multirow{2}{*}{1.29\%} & \multirow{2}{*}{3.51\%} & \multirow{2}{*}{4.13\%} & \multirow{2}{*}{2.48\%} \\ points & & & & & & & & & \\ \hline SST + 264 & \multirow{2}{*}{7.95\%} & \multirow{2}{*}{2.81\%} & \multirow{2}{*}{0.70\%} & \multirow{2}{*}{18.77\%} & \multirow{2}{*}{17.84\%} & \multirow{2}{*}{1.62\%} & \multirow{2}{*}{9.67\%} & \multirow{2}{*}{8.47\%} & \multirow{2}{*}{6.99\%} \\ points & & & & & & & & & \\ \hline SA + 264 & \multirow{2}{*}{5.19\%} & \multirow{2}{*}{5.03\%} & \multirow{2}{*}{4.08\%} & \multirow{2}{*}{6.81\%} & \multirow{2}{*}{8.17\%} & \multirow{2}{*}{1.23\%} & \multirow{2}{*}{13.73\%} & \multirow{2}{*}{7.50\%} & \multirow{2}{*}{5.67\%} \\ points & & & & & & & & & \\ \hline SST + 400 & \multirow{2}{*}{13.60\%} & \multirow{2}{*}{22.17\%} & \multirow{2}{*}{1.83\%} & \multirow{2}{*}{7.75\%} & \multirow{2}{*}{9.69\%} & \multirow{2}{*}{1.89\%} & \multirow{2}{*}{6.48\%} & \multirow{2}{*}{1.71\%} & \multirow{2}{*}{4.10\%} \\ points & & & & & & & & & \\ \hline SA + 400 & \multirow{2}{*}{12.65\%} & \multirow{2}{*}{12.06\%} & \multirow{2}{*}{0.95\%} & \multirow{2}{*}{3.66\%} & \multirow{2}{*}{4.98\%} & \multirow{2}{*}{1.81\%} & \multirow{2}{*}{7.52\%} & \multirow{2}{*}{9.22\%} & \multirow{2}{*}{1.35\%} \\ points & & & & & & & & & \\ \hline \hline \end{tabular}
\end{table}