Predictive model for stage-discharge curve in compound channels with vegetated floodplains

doi:10.1007/s10483-014-1884-6

Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (12): 1495-1508.doi: https://doi.org/10.1007/s10483-014-1884-6

Predictive model for stage-discharge curve in compound channels with vegetated floodplains

刘超^1,2, 刘兴年^1,2, 杨克君^1,2

1. College of Water Resources and Hydropower, Sichuan University, Chengdu 610065, P. R. China;
2. State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, P. R. China

收稿日期:2013-11-19 修回日期:2014-04-08 出版日期:2014-12-01 发布日期:2014-12-01
通讯作者: Ke-jun YANG, Professor, Ph.D., E-mail: yangkejun@163.com E-mail:yangkejun@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Nos.51279117 and 11072161), the Program for New Century Excellent Talents in University of China (No.NCET-130393), and the National Science and Technology Ministry of China (No.2012BAB05B02)

Predictive model for stage-discharge curve in compound channels with vegetated floodplains

Chao LIU^1,2, Xing-nian LIU^1,2, Ke-jun YANG^1,2

1. College of Water Resources and Hydropower, Sichuan University, Chengdu 610065, P. R. China;
2. State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, P. R. China

Received:2013-11-19 Revised:2014-04-08 Online:2014-12-01 Published:2014-12-01
Supported by:
Project supported by the National Natural Science Foundation of China (Nos.51279117 and 11072161), the Program for New Century Excellent Talents in University of China (No.NCET-130393), and the National Science and Technology Ministry of China (No.2012BAB05B02)

摘要/Abstract

摘要： The governing equation of the discharge per unit width, derived from the flow continuity equation and the momentum equation in the vegetated compound channel, is established. The analytical solution to the discharge per unit width is presented, including the effects of bed friction, lateral momentum transfer, drag force, and secondary flows. A simple but available numerical integral method, i.e., the compound trapezoidal formula, is used to calculate the approximate solutions of the sub-area discharge and the total discharge. A comparison with the published experimental data from the U.K. Flood Channel Facility (UK-FCF) demonstrates that this model is capable of predicting not only the stage-discharge curve but also the sub-area discharge in the vegetated compound channel. The effects of the two crucial parameters, i.e., the divided number of the integral interval and the secondary flow coefficient, on the total discharge are discussed and analyzed.

关键词: stage-discharge curve, compound trapezoidal formula, compound channel, vegetation, overbank flow

Abstract: The governing equation of the discharge per unit width, derived from the flow continuity equation and the momentum equation in the vegetated compound channel, is established. The analytical solution to the discharge per unit width is presented, including the effects of bed friction, lateral momentum transfer, drag force, and secondary flows. A simple but available numerical integral method, i.e., the compound trapezoidal formula, is used to calculate the approximate solutions of the sub-area discharge and the total discharge. A comparison with the published experimental data from the U.K. Flood Channel Facility (UK-FCF) demonstrates that this model is capable of predicting not only the stage-discharge curve but also the sub-area discharge in the vegetated compound channel. The effects of the two crucial parameters, i.e., the divided number of the integral interval and the secondary flow coefficient, on the total discharge are discussed and analyzed.

Key words: compound trapezoidal formula, overbank flow, vegetation, compound channel, stage-discharge curve

中图分类号:

TV133.1

刘超;刘兴年;杨克君. Predictive model for stage-discharge curve in compound channels with vegetated floodplains[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(12): 1495-1508.

Chao LIU;Xing-nian LIU;Ke-jun YANG. Predictive model for stage-discharge curve in compound channels with vegetated floodplains[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(12): 1495-1508.

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Predictive model for stage-discharge curve in compound channels with vegetated floodplains

Predictive model for stage-discharge curve in compound channels with vegetated floodplains

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