@Article{AAMM-7-180, author = {Shen , LuyuLu , ChanggenWu , 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 = {2018}, volume = {7}, number = {2}, pages = {180--195}, 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 $k-ϵ$ 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.


}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.m605}, url = {http://global-sci.org/intro/article_detail/aamm/12043.html} }