The present application relates to the field of hydraulics calculation and
hydraulic engineering design, in particular to a trapezoidal open channel hydraulics characteristic
water depth solving method and related products, including a method for solving the critical
water depth of a trapezoidal open channel and a method for solving the normal
water depth of a trapezoidal open channel; the method obtains the section parameters and the hydraulic parameters and is dimensionless; the variable substitution is performed on the critical water depth equation, which is converted into a
single variable sixth
algebraic equation and the high-order iteration root finding is adopted to obtain the critical water depth; the logarithmic domain
equivalent transformation is performed on the normal water depth equation to construct the root equation, and the small water depth asymptotic solution and the large water depth asymptotic solution are fused by a
smoothing weight function to generate the global continuous initial value, and then the normal water depth is obtained by iteration; the residual self-checking and numerical
anomaly detection are implemented in the
iteration process, and when triggered, the preset low-order robust
algorithm is automatically returned to correct until convergence; while ensuring the accuracy, the stability and efficiency in the difficult convergence condition are improved, and the method is suitable for the
automation and batch condition calculation of water conservancy
information system.