基于Roe格式黎曼近似解的二维FVM模型  

Two-dimension FVM model based on Riemann approximation for Roe format

作　　者：汪梅华 张铭[2] 柳杨[2] 乌景秀[2] 

机构地区：[1]衢州市港航管理局,浙江衢州324002 [2]南京水利科学研究院,江苏南京210029

出　　处：《水利水运工程学报》2016年第3期27-34,共8页Hydro-Science and Engineering

基　　金：国家自然科学基金资助项目(51209138;51139001);水利部公益性行业科研专项(201501007)

摘　　要：提出一种基于黎曼近似解Godunov格式的二维FVM模型求解口门区二维通航水力特性,并采用Roe格式计算界面通量。采用水面坡度代表源项中压力项的作用,有利于复杂地形条件计算的稳定性;通过对斜底单元干湿特性的合理划分,确保计算单元的水量和动量平衡及数值计算精度。利用该模型计算分析了衢江梯级塔底枢纽上下游口门区及引航段发电及泄洪条件下的通航水力特性,结果表明Roe格式的有限体积方法计算复杂地形条件下的水流流场稳定性好、计算精度高,为合理制定衢江梯级枢纽调度规则提供数据支持。Based on Riemann approximation for the Godunov format,a two dimensional FVM model is developed for simulating the navigable hydraulic characteristics of the entrance area,and the interface flux is computed using the Roe format. By using the slope of water surface to reflect the effects of pressures instead of the source term,the stability calculation can be carried out in the complex terrain conditions. The rational division of dry and wet characteristic unit sloping bottom is made to ensure the water mass and momentum balance and numerical calculation accuracy of the calculated units. The navigable hydraulic characteristics of upper and lower entrance areas of the Tadi hydrojunction of the Qujiang River cascade and the conditions of electro-generation and flood release are calculated by this model. The simulation and analysis results show that the finite volume method of the Roe format can calculate the flow field stability under the complex terrain conditions and has a high precision of calculation,which can provide the data supports for the Qujiang cascade hydrojunction in drawing up reasonable rules and regulations in the future.

关 键 词：山溪型航道 有限体积法 Roe格式 二维水力计算模型 

分 类 号：TV135.4[水利工程—水力学及河流动力学]