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Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (1): 53-63.

• 论文 • 上一篇    下一篇

THE EQUATIONS OF COMPLETE DEPTH-AVERAGED TURBULENCE MODEL IN GENERAL ORTHOGONAL COORDINATES

丁剡1, 周雪漪1, 余常昭1, 梁栋2   

  1. 1. Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, P. R. China;
    2. Department of Thermal Engineering, Tsinghua University, Beijing 100084, P. R. China
  • 收稿日期:1994-06-14 出版日期:1996-01-18 发布日期:1996-01-18

THE EQUATIONS OF COMPLETE DEPTH-AVERAGED TURBULENCE MODEL IN GENERAL ORTHOGONAL COORDINATES

Ding Yan1, Zhou Xueyi1, Yu Changzhao1, Liang Dong2   

  1. 1. Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, P. R. China;
    2. Department of Thermal Engineering, Tsinghua University, Beijing 100084, P. R. China
  • Received:1994-06-14 Online:1996-01-18 Published:1996-01-18

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摘要： For shallow water flow, the depth-averaged governing equations are derived by depth-averaging of the mean equations for three-dimensional turbulent flows. The influences of free water surface and of topography of river bed are taken into account.The depth-averaged equations of k-εturbulence model are also obtained. Because it Accounts for the three-dimensional effect, this model is named as the complete Depth-averaged model.The boundaries of natural water bodies are usually curved.In this work, the derived equations in Cartesian coordinates are transformed into orthogonal coordinates. The obtained equations can be applied directly to numerical computation of practical problems.

Abstract: For shallow water flow, the depth-averaged governing equations are derived by depth-averaging of the mean equations for three-dimensional turbulent flows. The influences of free water surface and of topography of river bed are taken into account.The depth-averaged equations of k-εturbulence model are also obtained. Because it Accounts for the three-dimensional effect, this model is named as the complete Depth-averaged model.The boundaries of natural water bodies are usually curved.In this work, the derived equations in Cartesian coordinates are transformed into orthogonal coordinates. The obtained equations can be applied directly to numerical computation of practical problems.

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