浅水方程模拟中确定糙率的回归系数法  

A regression coefficient method for calibrating Manning's coefficients in shallow water flow modeling

作　　者：叶荣辉 宋志尧[2] 吴小明 张卓[2] 赵红军[3] 

机构地区：[1]珠江水利委员会珠江水利科学研究院,广东广州510611 [2]南京师范大学虚拟地理环境教育部重点实验室,江苏南京210046 [3]河海大学港口海岸与近海工程学院,江苏南京210098

出　　处：《水科学进展》2013年第4期574-580,共7页Advances in Water Science

基　　金：国家自然科学基金资助项目(41076008);水利部公益性行业科研专项经费资助项目(200901032)~~

摘　　要：基于水流模拟本身就是模拟模型回归求真(即实体原型)过程的认识,从模拟模型和实体原型之间的相关关系出发,应用统计学中的线性回归分析方法,通过回归系数建立了模型与原型糙率系数之间的关系式,提出了二维浅水方程模拟中糙率确定的回归系数法。数值试验表明,该方法并不依赖于糙率系数的初值,具有稳定性好、收敛速度快的特点;对磨刀门水道水流的数值模拟应用显示,该方法能有效地改善模拟计算的精度,具有较好的适应能力,简便实用,为二维浅水流动模拟计算时率定糙率系数提供了一种有效途径。Based on the cognition that numerical flow modeling is a regression process to prototype, from the correla- tion between model and prototype, a linear formulation that relates model＇s and prototype＇s Manning＇s roughness coeffi- cients（Manning＇s n） is derived and a regression coefficient method for calibrating Manning＇s n in shallow water equa- tions is presented. Numerical tests show that the method does not only rely on the initial value of Manning＇s n, but al- so has the attributes of good stability and fast convergence. Application to the complex flow simulation for the Mod- aomen channel indicates that the present method could improve the modeling precision, and has good adaptive, simple and practical abilities as well. It provides an effective way to determine Manning＇s n in shallow water equations.

关 键 词：浅水方程 数值模拟 曼宁系数 回归分析 磨刀门水道 

分 类 号：TV131.2[水利工程—水力学及河流动力学]