Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (7): 741-747.

• 论文 •    下一篇

HIGH-RESOLUTION NUMERICAL MODEL FOR SHALLOW WATER FLOWS AND POLLUTANT DIFFUSIONS

王嘉松1, 何友声2   

  1. 1. School of Mechanic Engineering, Shanghai Jiaotong University, Shanghai 200030, P R China;
    2. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P R China
  • 收稿日期:2001-06-08 修回日期:2002-02-28 出版日期:2002-07-18 发布日期:2002-07-18
  • 基金资助:
    the National Natural Science Foundation of China(10002021)

HIGH-RESOLUTION NUMERICAL MODEL FOR SHALLOW WATER FLOWS AND POLLUTANT DIFFUSIONS

WANG Jia-song1, HE You-sheng2   

  1. 1. School of Mechanic Engineering, Shanghai Jiaotong University, Shanghai 200030, P R China;
    2. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P R China
  • Received:2001-06-08 Revised:2002-02-28 Online:2002-07-18 Published:2002-07-18
  • Supported by:
    the National Natural Science Foundation of China(10002021)

摘要: A finite-volume high-resolution numerical model for coupling the shallow water flows and pollutant diffusions was presented based on using a hybrid TVD scheme in space discretization and a Runge-Kutta method in time discretization. Numerical simulations for modelling dam-break, enlarging open channel flow and pollutant dispersion were implemented and compared with experimental data or other published computations. The validation of this method shows that it can not only deal with the problem involving discontinuities and unsteady flows, but also solve the general shallow water flows and pollutant diffusions.

Abstract: A finite-volume high-resolution numerical model for coupling the shallow water flows and pollutant diffusions was presented based on using a hybrid TVD scheme in space discretization and a Runge-Kutta method in time discretization. Numerical simulations for modelling dam-break, enlarging open channel flow and pollutant dispersion were implemented and compared with experimental data or other published computations. The validation of this method shows that it can not only deal with the problem involving discontinuities and unsteady flows, but also solve the general shallow water flows and pollutant diffusions.

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