Applications of Haar wavelet transform to analyze water surface profile over trapezoid broad-crested side weir

Side weirs are structures that are installed along a channel and when the height of water is exceeding the crest, extra flow inters to the subsidiary channel. In this research, experimental and numerical investigation for solving the differential equation of water surface profile over trapezoidal broad-crested side weir in rectangular channels is reported. Also, the water surface profiles for different width, height and side slope of the weir were measured and compared to those of the Haar wavelet method. The Lowest error percentage in calculating y1 (maximum error) was observed in the side slop of side weir 1.5, width 8 and height 10 centimeter. When height and side slope of side weir were increased, the error of estimation was decreased. Haar wavelet method is also compared with Runge-Kutta Method. The correlation coefficient of Haar wavelet method and experimental data was more than 0.979. Haar wavelet method has higher correlation coefficient than Runge-Kutta method. Also, the results show that the Haar wavelet method can estimate the water depths better than Runge-Kutta method.