@Article{AAMM-7-2,
author = {Shen, Luyu and Lu, Changgen and Wu, Weiguo and Xue, Shifeng},
title = {A High-Order Numerical Method to Study Three-Dimensional Hydrodynamics in a Natural River},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2015},
volume = {7},
number = {2},
pages = {180--195},
abstract = {<p style="text-align: justify;">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 $k-ϵ$&nbsp;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.</p><p><br/></p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m605},
url = {https://global-sci.com/article/73390/a-high-order-numerical-method-to-study-three-dimensional-hydrodynamics-in-a-natural-river}
}