通量差分裂方法在一维河网模型中的应用  

An application of flux difference splitting scheme in river-network model

作　　者：向小华[1,2] 吴晓玲[1,2] 牛帅[3] 王船海[1,2] 

机构地区：[1]河海大学水文水资源学院,江苏南京210098 [2]河海大学水文水资源与水利工程科学国家重点实验室,江苏南京210098 [3]南京水利科学研究院,江苏南京210029

出　　处：《水科学进展》2013年第6期894-900,共7页Advances in Water Science

基　　金：国家自然科学基金资助项目(41201030;51190091)~~

摘　　要：以通量差分裂格式离散非守恒型圣维南方程组,为保证河网整体离散形式的一致性,采用特征线方法离散边界节点,并引入限制器和熵修正使离散模型具有TVD(Total Variation Diminishing)特性,在线性隐式化的基础上最终构建基于隐式TVD类方法的一维河网水流模型。通过实例验证,表明提出的方法能处理跨临界流变化,而且在实际复杂河网中对水位及主、支河道分流比都能较好地模拟,具有一定实用性。The discrete procedure of non-conservative St. Venant equations is carried out by making use of the flux difference splitting scheme. In order to maintain the same dispersed form, characteristic theory is introduced into boundary points discretization. Combining with entropy correction, the flux limiter is introduced into the discrete equa- tions to preserve the property of total variation diminishing （TVD）. Based on the implication of TVD, a one-dimen- sional （I-D） river network model is derived. The 1 -D model is used to simulate water levels and discharges in a reach of Chengtong River. Results show that the model is able to handle trans-critical flow fields with large time steps. The model simulates well the water stage and the diversion ratio of bifurcation, indicating the model has practical values in flow simulations.

关 键 词：水动力学 数值方法 有限体积法 一维河网 通量差分裂 

分 类 号：TV133[水利工程—水力学及河流动力学]