# A Deep Learning-Based Mapping Model for Three-Dimensional Propeller RANS and LES Flow Fields
## 4 Experiments
### Discussion  
In this section, we further discuss the experimental results, the limitations of the method, and the possible improvement of the proposed model. Firstly, it can be seen that in fluid simulations, the average acceptable error for validating correct resolution is in the order of 3 to 7%. However, for the prediction by our model for some variables, the error is around 8%, and in some cases, it exceeds 25% in the \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Mapping** & **V\_axial** & **V\_tangential** & **V\_radial** & **Average** \\
**Model** & **V\_axial** & **V\_tangential** & **V\_radial** & **Prediction** \\  & & & & **Time (s)** \\ \hline
3D mapping & & & & \\ model & 2.73\% & 27.59\% & 22.73\% & 467 \\
2D mapping & & & & \\ model & 5.78\% & 8.12\% & 9.87\% & 1974 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: The error rate of the mapping between mapping models for the dataset. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{\(x\)} & \multirow{2}{*}{\(y\)} & \multirow{2}{*}{\(z\)} & \multicolumn{2}{c}{**V\_axial (m/s)**} & \multicolumn{2}{c}{**V\_tangential (m/s)**} & \multicolumn{2}{c}{**V\_radial (m/s)**} \\ \cline{3-10}  & & & **Result** & **Label** & **Result** & **Label** & **Result** & **Label** \\ \hline \(-0.16585\) & \(-0.08994\) & \(-0.21504\) & 2.15706 & 2.19746 & 0.14224 & 0.14532 & 0.29168 & 0.29109 \\ \(-0.16508\) & \(-0.08907\) & \(-0.21451\) & 2.15313 & 2.15768 & 0.14123 & 0.14672 & 0.29196 & 0.28270 \\ \(-0.16503\) & \(-0.08974\) & \(-0.21626\) & 2.15808 & 2.16042 & 0.14013 & 0.15002 & 0.29114 & 0.28450 \\ \(-0.16578\) & \(-0.08829\) & \(-0.21483\) & 2.14943 & 2.15647 & 0.13969 & 0.15043 & 0.29172 & 0.28002 \\ \(-0.16585\) & \(-0.09063\) & \(-0.21638\) & 2.16025 & 2.15890 & 0.14129 & 0.15098 & 0.29034 & 0.27628 \\ \(-0.16587\) & \(-0.08892\) & \(-0.21644\) & 2.15362 & 2.15467 & 0.13917 & 0.15431 & 0.29166 & 0.26920 \\ \(-0.16385\) & \(-0.08907\) & \(-0.21554\) & 2.15616 & 2.15543 & 0.13933 & 0.15653 & 0.29141 & 0.26843 \\ \(-0.16391\) & \(-0.08757\) & \(-0.21501\) & 2.15019 & 2.15571 & 0.13741 & 0.15702 & 0.29236 & 0.28698 \\ \(-0.16496\) & \(-0.08727\) & \(-0.21354\) & 2.14572 & 2.15565 & 0.13927 & 0.13605 & 0.29261 & 0.26581 \\ \(-0.16501\) & \(-0.08827\) & \(-0.21607\) & 2.15193 & 2.15477 & 0.13775 & 0.15723 & 0.29230 & 0.28890 \\ \(-0.16582\) & \(-0.08804\) & \(-0.21334\) & 2.14704 & 2.15098 & 0.14111 & 0.15702 & 0.29198 & 0.28945 \\ \(-0.16381\) & \(-0.09057\) & \(-0.21604\) & 2.16112 & 2.15386 & 0.14047 & 0.15436 & 0.29006 & 0.27584 \\ \(-0.16390\) & \(-0.09010\) & \(-0.21757\) & 2.16120 & 2.15779 & 0.13828 & 0.15675 & 0.28969 & 0.27541 \\ \(-0.16383\) & \(-0.08856\) & \(-0.21707\) & 2.15608 & 2.18456 & 0.13682 & 0.13467 & 0.29152 & 0.28534 \\ \(-0.16499\) & \(-0.09118\) & \(-0.21700\) & 2.16223 & 2.09779 & 0.14071 & 0.13575 & 0.28947 & 0.27355 \\ \(-0.16576\) & \(-0.08996\) & \(-0.21754\) & 2.15976 & 2.17690 & 0.13850 & 0.13890 & 0.29016 & 0.27628 \\ \(-0.16503\) & \(-0.08902\) & \(-0.21773\) & 2.15670 & 2.09443 & 0.13735 & 0.13752 & 0.29094 & 0.26750 \\ \(-0.16500\) & \(-0.08677\) & \(-0.21533\) & 2.14615 & 2.06082 & 0.13620 & 0.13605 & 0.29291 & 0.26581 \\ \(-0.16583\) & \(-0.08682\) & \(-0.21438\) & 2.14438 & 2.06082 & 0.13809 & 0.13605 & 0.29214 & 0.26554 \\ \(-0.16585\) & \(-0.08737\) & \(-0.21597\) & 2.14746 & 2.06082 & 0.13699 & 0.13605 & 0.29236 & 0.26581 \\ \(-0.16582\) & \(-0.09121\) & \(-0.21787\) & 2.16155 & 2.09789 & 0.13943 & 0.13678 & 0.28929 & 0.27476 \\ \(-0.16586\) & \(-0.08881\) & \(-0.21822\) & 2.15459 & 2.12824 & 0.13693 & 0.15567 & 0.29151 & 0.27895 \\ \(-0.16585\) & \(-0.08768\) & \(-0.21740\) & 2.15043 & 2.18457 & 0.13613 & 0.15919 & 0.29295 & 0.27568 \\ \(-0.16236\) & \(-0.08905\) & \(-0.21556\) & 2.15768 & 2.10101 & 0.13863 & 0.15366 & 0.29105 & 0.28543 \\ \(-0.16502\) & \(-0.08824\) & \(-0.21605\) & 2.15187 & 2.15473 & 0.137549 & 0.15724 & 0.29217 & 0.28836 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: The data from the propeller center area. mapping analysis.