一维圣维南方程组的特征线法  

The Eigenfunction Method of One-dimensional Saint-venant Equations

作　　者：付典龙[1] 傅春[1] 

机构地区：[1]南昌大学建筑工程学院,江西南昌330031

出　　处：《南昌大学学报（工科版）》2006年第4期386-389,共4页Journal of Nanchang University(Engineering & Technology)

基　　金：国家自然科学基金资助项目(40361003)

摘　　要：天然情况下,河道水流有可能出现非恒定流,对于非恒定流问题可用圣维南方程组建立一维数学模型求解.介绍了求解一维非恒定水流数学模型的特征线方法,并且对其中关键性参数进行详细讨论和确定.通过对赣江支流锦江1982年和1985年洪水资料进行模拟计算,结果表明:计算水位过程和实测水位过程吻合较好,计算精度高.Under natural condition,the unsteady flow may exist in river. Based on the Saint-venant equations,a one-dimensional mathematical model can be used to simulate the unsteady flow. This paper presents the eigenfunction of the one-dimensional unsteady flow model and explains the method to solve the model. Moreover, the detailed discussions are also provided for the key issues of resolving processes. Subsequently, a case study, using the eigenfunction to calculate the floods of Jin River in 1982 and 1985, a tributary of Gan River shows the validity of.the method.

关 键 词：非恒定流 圣维南方程组 特征线法 

分 类 号：TV131.4[水利工程—水力学及河流动力学]