Calculation of Water Discharge Through Sluice Based on Biharmonic Spline Interpolation and Dimensional Analysis
The accurate calculation of discharge through sluice is the basis of scientific control of the water transfer channel and safe operation of the water transfer system,and is also one of the important hydraulic models for the construction of the digital twin water transfer project.Although a large amount of real-time water situation data is accumulated during dispatc-hing operation,due to the influence of control mode and water demand,the monitoring data values are mostly concentrated in a small local range in practice,and it is difficult to obtain representative data covering a wide range,resulting in insuffi-cient generalization ability of the model of discharge through sluice.In view of the above issues,this paper proposes a method for calculation of the discharge through sluice based on the coupling of biharmonic spline interpolation and dimen-sional analysis.In the case that few representative sample points can be obtained in practice,after making full use of the position information of sample points for data interpolation,the dimensional analysis method is used to calculate discharge through sluice.Taking the Gang-tou sluice and Xiheishan sluice of the Middle Route of South-to-North Water Transfer Pro-ject as the research object,the determination coefficient and calculation accuracy of the measured samples and the fitting curve in the calculation of the discharge through sluice are compared and analyzed by the biharmonic spline interpolation and dimensional analysis method.The results show that compared with the single dimension analysis method,the method based on biharmonic spline interpolation and dimension analysis has higher calculation accuracy under the condition of lack of representative data.The determination coefficient of the fitting of the sluice relationship curve is increased by about 8%,and the absolute and relative errors of the sluice flow calculation results are reduced.
open channel water diversion projectdigital twinwater discharge through sluiceBiharmonic spline interpo-lationdimensional analysis
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