变步长法在天然河道水面线计算中的应用  

Application of varies increment iteration to simulation of water-surface profile in natural channels

作　　者：万五一[1] 江春波[1] 李玉柱[1] 

机构地区：[1]清华大学水利水电工程系,北京100084

出　　处：《哈尔滨工业大学学报》2007年第4期647-649,共3页Journal of Harbin Institute of Technology

基　　金：中国博士后科学基金资助项目(2004036254)

摘　　要：试算法是计算天然河道水面线的常用方法之一.为了提高试算法的计算效率,以试算法的基本原理为基础,采用变步长的计算格式对天然河道水面线进行数值模拟,并分析步长变化系数对计算效率的影响,确定最优变化系数λ的取值范围为0.2~0.5.实例表明,变步长格式比常规格式收敛速度快,在同等条件下,常规格式需要计算70000次的河道水面线,变步长格式只需计算600次左右.该方法提高了试算法的电算效率,能够应用于各种渠道和天然河道非均匀渐变流水面线的计算机模拟.Trail - error is an usual method to simulate water - surface profile of natural channels. Based on the trail -error method, a varied increment iteration is presented to improve the computation of water - surface profile. Optimized coefficient λ is about from 0. 2 to 0. 5 according to the relationship between coefficient λ and runtime. An example shows that the new method improves the numerical computation efficiency. Considering the same conditions, the method can get the solution by only 600 steps, while the ordingary method spends about 70000 steps. This new method is convenient to simulate water - surface profile of natural and ar- tificial channel.

关 键 词：天然河道 水面线 试算法 明渠 

分 类 号：TV131[水利工程—水力学及河流动力学]