离散广义Nash汇流模型及其在河道洪水演算中的应用

基于广义Nash汇流理论,通过定义S曲线或滞蓄曲线,简化了广义Nash汇流计算公式,并推导得出了离散广义Nash汇流模型,将河道下断面出流过程表述为时段初、末入流量与当前时刻及之前若干时刻出流量的线性组合,权重系数由S曲线或滞蓄曲线得出。该模型物理概念明确,又有一定统计意义,结构简单,形式直观,便于在实际中推广应用,最后通过实例分析检验了模型的预报能力。

The discrete generalized Nash Model and its application in the river flood routing

Based on the generalized Nash flow routing theory,the calculation formula was simplified by the definition of S-curve or detention storage curve. The discrete generalized Nash model (DGNM) for river flow routing was derived. The outflow downstream can be expressed by a linear combination of the inflows at the beginning and end of the current time, and the outflows of the current time and several times be-fore. The weight coefficients of the linear combination were obtained by the defined S-curve or detention storage curve. The DGNM,with a clear physical concept,also has a statistical significance. Its structure is very simple and its form is more intuitive, which facilitates its popularization and application in practice. The case study also suggested that the DGNM has a good forecasting ability.