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Volume 24 Issue 6
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Article Navigation >  Advances in Water Science  > 2013  >  24(6): 894-900

XIANG Xiaohua, WU Xiaoling, NIU Shuai, WANG Chuanhai. An application of flux difference splitting scheme in river-network model[J]. Advances in Water Science, 2013, 24(6): 894-900.
Citation: XIANG Xiaohua, WU Xiaoling, NIU Shuai, WANG Chuanhai. An application of flux difference splitting scheme in river-network model[J]. Advances in Water Science, 2013, 24(6): 894-900.
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An application of flux difference splitting scheme in river-network model

  • 1.

    College of Hydrology and Water Resources, Hohai University, Nanjing 210098, China;

  • 2.

    State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China;

  • 3.

    Nanjing Hydraulic Research Institute, Nanjing 210029, China

Funds:  The study is financially supported by the National Natural Science Foundation of China (No.41201030; No.51190091).
  • Received Date: 2012-12-25
  • Publish Date: 2013-11-25
  • The discrete procedure of non-conservative St. Venant equations is carried out by making use of the flux difference splitting scheme. In order to maintain the same dispersed form, characteristic theory is introduced into boundary points discretization. Combining with entropy correction, the flux limiter is introduced into the discrete equations to preserve the property of total variation diminishing (TVD). Based on the implication of TVD, a one-dimensional (1-D) river network model is derived. The 1-D model is used to simulate water levels and discharges in a reach of Chengtong River. Results show that the model is able to handle trans-critical flow fields with large time steps. The model simulates well the water stage and the diversion ratio of bifurcation, indicating the model has practical values in flow simulations.
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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An application of flux difference splitting scheme in river-network model

  • 1. College of Hydrology and Water Resources, Hohai University, Nanjing 210098, China;
  • 2. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China;
  • 3. Nanjing Hydraulic Research Institute, Nanjing 210029, China
Funds:  The study is financially supported by the National Natural Science Foundation of China (No.41201030; No.51190091).
  • Received Date: 2012-12-25
  • Publish Date: 2013-11-25

Abstract: The discrete procedure of non-conservative St. Venant equations is carried out by making use of the flux difference splitting scheme. In order to maintain the same dispersed form, characteristic theory is introduced into boundary points discretization. Combining with entropy correction, the flux limiter is introduced into the discrete equations to preserve the property of total variation diminishing (TVD). Based on the implication of TVD, a one-dimensional (1-D) river network model is derived. The 1-D model is used to simulate water levels and discharges in a reach of Chengtong River. Results show that the model is able to handle trans-critical flow fields with large time steps. The model simulates well the water stage and the diversion ratio of bifurcation, indicating the model has practical values in flow simulations.

XIANG Xiaohua, WU Xiaoling, NIU Shuai, WANG Chuanhai. An application of flux difference splitting scheme in river-network model[J]. Advances in Water Science, 2013, 24(6): 894-900.
Citation: XIANG Xiaohua, WU Xiaoling, NIU Shuai, WANG Chuanhai. An application of flux difference splitting scheme in river-network model[J]. Advances in Water Science, 2013, 24(6): 894-900.
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