A High-Order Numerical Method to Study Three-Dimensional Hydrodynamics in a Natural River
A High-Order Numerical Method to Study Three-Dimensional Hydrodynamics in a Natural River
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DOI：
10.4208/aamm.2014.m605
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发表时间：
2015-04
影响因子：
1.4
通讯作者：
L. Shen;Chang-gen Lu;Weiguo Wu;S. Xue
中科院分区：
文献类型：
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作者：
L. Shen;Chang-gen Lu;Weiguo Wu;S. Xue
提出了一种三维流体力学的高阶数值方法。在正交曲线坐标系下，采用k-ε湍流模型，空间上采用高阶紧致格式，时间上采用Runge-Kutta格式求解雷诺平均Navier-Stokes方程。此外，本文还从水深平均动量方程出发，推导出一个二维方程来预报水位。首先通过对180°弯曲水槽的数值模拟验证了该方法的有效性。仿真结果与实测结果吻合较好，且优于SIMPLEC算法。将该方法应用于一条天然河流的三维水动力学研究，模拟结果与实测结果吻合较好。
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-e 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° 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.