Skip to Main Content

To investigate the impacts of different employed parameters from the best proposed models on hydraulic jump characteristics prediction via SVMs, sensitivity analysis was performed. In order to evaluate the effect of each independent parameter, the model was run with all input parameters and then one of the input parameters was eliminated and the SVM model was re-run. The RMSE criterion was used as indication of the significance of each parameter. The results are listed in Table 8. In this table ΔRMSE represents the percentages of the added values to the error criteria for each eliminated parameter. Based on the results from Table 8, it could be inferred that variable F1 has the most significant effect on the characteristics of a hydraulic jump. Also, Table 8 shows the order of the impact of each input parameter.

Table 8

Relative significance of each of input parameters of the best models (basin with central sill)

Hydraulic jump characteristicsEliminated variablePerformance criteria for test series
 
RMSEΔRMSE%The order of the impact of parameters
Sequent depth ratio 
Y F1, S/h1, B, h₁/B 0.021 – – 
F1 0.184 766 1 
B 0.023 9.5 
S/h1 0.025 19 
h1/B 0.028 34 
Length of hydraulic jump 
Lj/h1 F1, (h₂–h1)/h₁, h₂/h₁, S/h1, 0.037 – – 
F1 0.144 289 1 
(h₂–h1)/h₁ 0.046 24 
h2/h1 0.043 14 
S/h1 0.041 11 
B 0.039 
Loss of energy 
 ΔEL/E1 F1, S/h1, h₁/B 0.025 – – 
F1 0.203 712 1 
S/h1 0.030 20 
h1/B 0.044 76 
Hydraulic jump characteristicsEliminated variablePerformance criteria for test series
 
RMSEΔRMSE%The order of the impact of parameters
Sequent depth ratio 
Y F1, S/h1, B, h₁/B 0.021 – – 
F1 0.184 766 1 
B 0.023 9.5 
S/h1 0.025 19 
h1/B 0.028 34 
Length of hydraulic jump 
Lj/h1 F1, (h₂–h1)/h₁, h₂/h₁, S/h1, 0.037 – – 
F1 0.144 289 1 
(h₂–h1)/h₁ 0.046 24 
h2/h1 0.043 14 
S/h1 0.041 11 
B 0.039 
Loss of energy 
 ΔEL/E1 F1, S/h1, h₁/B 0.025 – – 
F1 0.203 712 1 
S/h1 0.030 20 
h1/B 0.044 76 

Bold values show the most significant parameter.

Close Modal

or Create an Account

Close Modal
Close Modal