二维浅水流动的离散涡方法  

Discrete vortex method for two-dimensional shallow water flows

作　　者：黄远东[1] 吴文权[1] 张红武[2] 王光谦[2] 王兴奎[2] 

机构地区：[1]上海理工大学城市建设与环境工程学院,上海200093 [2]清华大学水利系,北京100084

出　　处：《上海理工大学学报》2004年第1期15-18,30,共5页Journal of University of Shanghai For Science and Technology

基　　金：国家自然科学基金和水利部联合资助项目(59890200);高等学校全国优秀博士论文作者专项资金(199935);上海市教委发展基金资助项目(03GK04);上海理工大学博士启动基金(X375)

摘　　要：根据二维浅水流动中旋涡既可产生于流动边界层,也可在主流场中自生自灭的特点,建立起Eulerian-Lagrangian框架下的二维浅水流动离散涡方法;利用该方法数值仿真了高雷诺数下的二维浅水方柱绕流,得到了流动的速度场、涡谱,计算结果中明显可见流动分离、旋涡以及旋涡随时间的发展演化,即模拟出流动所具有的非定常不稳定等非线性特征.A mixed Eulerian-Lagrangian discrete vortex method is developed for solving the shallow water flows. In this discrete vortex model, new vortices are generated not only at the boundaries, but also in areas where bed friction, Coriolis force, surface wind stresses, or depth gradient is present, and the vorticity transport equation is split into four parts: (1) the advective movement of potential vorticity. (2) the generation of vorticity due to bed friction, Coriolis force, surface wind stresses, or depth gradients. (3) the diffusion of vorticity due to viscosity. (4) the diffusion of vorticity due to dilation. The shallow water flows past a rectangular cylinder at high Reynolds number are simulated with the method, and the distribution of vortices and the velocity field are obtained. The flow separation and the consequential process of development of vortices are seen clearly from the gained results.

关 键 词：二维浅水流动 旋涡 离散涡方法 非定常不稳定 

分 类 号：O352[理学—流体力学] TV131.2[理学—力学]