离散广义Nash汇流模型及其在河道洪水演算中的应用  

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

作　　者：闫宝伟[1] 于雨[1] 郭生练[2] 潘增 

机构地区：[1]华中科技大学水电与数字化工程学院,湖北武汉430074 [2]武汉大学水资源与水电工程科学国家重点实验室,湖北武汉430072

出　　处：《水利学报》2017年第7期773-778,共6页Journal of Hydraulic Engineering

基　　金：国家重点研发计划项目(2016YFC0402708);中央高校基本科研业务费项目(HUST:2015QN216)

摘　　要：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。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 inflowsat 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 detentionstorage curve. The DGNM,with a clear physical concept,also has a statistical significance. Its structure isvery 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.

关 键 词：广义Nash汇流理论 离散方程 河道洪水演算 滞蓄流量 线性组合 

分 类 号：TV121.7[水利工程—水文学及水资源]