多沙河流的非恒定一维水沙数学模型及其应用

Unsteady one-dimensional numerical model for alluvial rivers with heavy sediment load and its applications

  • 摘要: 介绍多沙河流上非恒定一维水沙数学模型采用网格上流量与水位交错布置的方案,应用Total Variation Diminishing(TVD)格式求解基本方程,模型具有守恒性好、无虚假振荡、算法简单的优点,克服了断面急剧变化时计算容易失稳的困难。同时,由于采用了适合于多沙河流的泥沙运动基本方程及相关参数,因此,该一维模型能够适应多沙河流高浓度输沙及大幅度冲淤变化的特征,成功模拟了黄河干、支流上的洪水传播。

     

    Abstract: An unsteady one-dimensional numerical model was developed for the simulation of flood routine and alluvial process of rivers with heavy sediment load.In this model,the basic equations and relations for sediment transport were modified to cope with hyper-concentrated flow.To avoid non-physical oscillation caused by sharply changed channel geometry and intensive erosion/deposition,the governing equations were discreted in staggered grid and a TVD scheme was adopt to obtain numerical solution.Applications of the model were also presented in this paper.

     

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