Volume 7, Issue 2
A High-Order Numerical Method to Study Three-Dimensional Hydrodynamics in a Natural River

Luyu Shen ,  Changgen Lu ,  WeiguoWu and Shifeng Xue

10.4208/aamm.2014.m605

Adv. Appl. Math. Mech., 7 (2015), pp. 180-195.

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  • Abstract

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-ǫ 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.


  • History

Published online: 2018-05

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