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

作者：Shen, Luyu; Lu, Changgen^*; Wu, Weiguo; Xue, Shifeng

来源：Advances in Applied Mathematics and Mechanics, 2015, 7(2): 180-195.

DOI：10.4208/aamm.2014.m605

• Compact scheme
• three-dimensional hydrodynamics
• k-epsilon turbulence model
• orthogonal curvilinear coordinate system
• Runge-Kutta scheme

A high-order numerical method for three-dimensional hydrodynamics is presented. 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-epsilon turbulence model in an orthogonal curvilinear coordinate system. In addition, a two-dimensional equation is derived from the depth-averaged momentum equations to predict the water level. The proposed method is first validated by its application to simulate flow in a 180 degrees curved laboratory flume. 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.

• 出版日期2015-4
• 单位中国石油大学（北京）; 南京信息工程大学