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1 results

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

  • Luyu Shen, Changgen Lu, Weiguo Wu, Shifeng Xue
  • Journal:
    Advances in Applied Mathematics and Mechanics / Volume 7 / Issue 2 / April 2015
    Published online by Cambridge University Press:
    23 March 2015, pp. 180-195
    Print publication:
    April 2015

  • 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.