曲线坐标下连通域河道平面二维水流的数值模拟  

Numerical simulation for 2D multi-connected domain flows in a body-fitted curvilinear coordinate system

作　　者：戎贵文[1,2] 魏文礼[1] 刘玉玲[1] 

机构地区：[1]西安理工大学,西安710048 [2]安徽理工大学,淮南232001

出　　处：《应用力学学报》2010年第3期611-615,共5页Chinese Journal of Applied Mechanics

基　　金：中国博士后科学基金(20090451163);江苏省博士后基金(0901006C);陕西省重点学科建设项目

摘　　要：在边界拟合曲线坐标系下,运用B型交错网格模式和动边界扫描技术建立了基于连通域的二维水流数学模型,并提出了模型中有关参数的处理方法。采用贴体坐标变换将复杂的物理域变换成规则的计算域,在计算域上采用控制容积法离散方程,应用SIMPLEC算法计算速度-压力耦合。研究结果表明:采用控制容积法和SIMPLEC算法离散求解方程,具有良好的守恒性和稳定性;该模型能够较准确地模拟连通域河段的流场变化、水位变化等过程,可供实际工程应用。Under body-fitted curvilinear coordinate system, a 2D multi-connected domain flow mathematical model is established to simulate the flow characteristics in complex boundary rivers by using a B-type staggered grid and a technique of moving boundary. The physical domain is mapped into a uniform transformed space. The governing equations are firstly transformed from Cartesian coordinates to curvilinear coordinates, then discretized by the control volume method, and the coupling computation of velocity field and stress is used in SIMPLEC algorithm. The results indicate that the control volume method and SIMPLEC algorithm are good in conservation and stability for discretization and solution, the model is fairly effective for simulating flow in multi-connected domain rivers with complex boundaries, it is applicable to hydraulic engineering.

关 键 词：连通域河道 水流 控制容积 数学模型 

分 类 号：TV131.2[水利工程—水力学及河流动力学]