基于HLLC近似Riemann求解器的天然河道水流运动模拟  

Simulation of Natural River Flow Based on HLLC Approximate Riemann Solver

作　　者：孙万光[1,2] 杨海滔 杨斌斌 房巍 范宝山 SUN Wan-guang;YANG Hai-tao;YANG Bin-bin;FANG Wei;FAN Bao-shan(China Water Northeastern Investigation,Design and Research Corporation Limited,Changchun 130061,China;Research Center for Cold Region Engineering,Ministry of Water Resources,Changchun 130061,China;Liaoning Provincial River and Reservoir Management Service Center(Bureau of Hydrology,Liaoning Province),Shenyang 110003,China)

机构地区：[1]中水东北勘测设计研究有限责任公司,长春130061 [2]水利部寒区工程技术研究中心,长春130061 [3]辽宁省河库管理服务中心(辽宁省水文局),沈阳110003

出　　处：《中国农村水利水电》2022年第2期12-19,共8页China Rural Water and Hydropower

基　　金：国家重点研发计划资助项目(2018YFC0407303)。

摘　　要：天然河道断面几何形状快速变化条件下的一维复杂水流运动高精度数值模拟仍面临较大困难。基于Godunov格式,提出了基于守恒型圣维南方程的HLLC近似Riemann求解器的通量计算方法,将该求解器由浅水方程拓展至守恒型圣维南方程;提出了针对天然河道复杂断面几何形状下的变量空间重构方法:依据过流断面面积和静力矩等效原则将河道断面概化成矩形,通过线性插值构造单元界面处断面几何形状,根据水位重构结果计算界面两侧过流断面面积和静力矩的重构值,保证计算格式守恒。实例研究表明,天然河道断面几何形状快速变化条件下,该方法的计算结果与实测值吻合良好,同时对于混合水流运动具有较高模拟精度。研究成果为天然河道水动力及环境水力学高精度数值模拟提供了新的方法。High precision numerical simulation of one-dimensional complex flow in natural rivers is still faced with great difficulties under the condition of rapid change of cross-section geometry.Based on the Godunov Scheme,a flux calculation method for HLLC approximate Riemann Solver based on the conservation type Saint Venant Equation is proposed.The solver is extended from the shallow water equation to the conservative Saint Venant Equation.A variable space reconstruction method for natural rivers with complex cross-section geometry is proposed.According to the equivalent principle of flow section area and static moment,the cross-section is generalized into a rectangle.The cross-section geometry at the interface of the element is constructed by linear interpolation.According to the reconstruction results of water level,the reconstruction values of flow section area and static moment on both sides of the interface are calculated.The conservation of calculation format is guaranteed.The case study shows that under the condition of rapid change of cross-section geometry of natural rivers,the calculation results of the proposed method are in good agreement with the measured values,and it has high simulation accuracy for mixed flow.The research results provide a new method for the high precision numerical simulation of natural river hydrodynamics and environmental hydraulics.

关 键 词：守恒型圣维南方程 Godunov格式 HLLC近似Riemann求解器 变量重构 天然河道 

分 类 号：TV134[水利工程—水力学及河流动力学]