A High-Order Numerical Method to Study Three-Dimensional Hydrodynamics in a Natural River  

作　　者：Luyu Shen Changgen Lu Weiguo Wu Shifeng Xue 

机构地区：[1]College of Marine Sciences,Nanjing University of Information Science and Technology,Nanjing 210044,China [2]College of Atmospheric Sciences,Nanjing University of Information Science and Technology,Nanjing 210044,China [3]Department of Engineering Mechanics,China University of Petroleum,Dongying 266555,China

出　　处：《Advances in Applied Mathematics and Mechanics》2015年第2期180-195,共16页应用数学与力学进展（英文）

基　　金：This work is supported by the National Natural Science Foundation of China(Grant No.11172143);Research Innovation Program for College Graduates of Jiangsu Province(CXZZ130518).

摘　　要：A high-order numerical method for three-dimensional hydrodynamics is p-resented.The present method applies high-order compact schemes in space and a Runge-Kutta scheme in time to solve the Reynolds-averaged Navier-Stokes equations with the k-ǫturbulence model in an orthogonal curvilinear coordinate system.In ad-dition,a two-dimensional equation is derived from the depth-averaged momentum equations to predict the water level.The proposed method isfirst validated by its application to simulateflow in a 180◦curved laboratoryflume.It is found that the simulated results agree with measurements and are better than those from SIMPLEC algorithm.Then the method is applied to study three-dimensional hydrodynamics in a natural river,and the simulated results are in accordance with measurements.

关 键 词：Compact scheme three-dimensional hydrodynamics k-ǫturbulence model orthog-onal curvilinear coordinate system Runge-Kutta scheme 

分 类 号：O17[理学—数学]