文章摘要
张大伟,权锦,马建明,向立云.基于Godunov格式的流域地表径流二维数值模拟[J].水利学报,2018,49(7):787-794,802
基于Godunov格式的流域地表径流二维数值模拟
Two-dimensional numerical simulation for surface runoff in catchments based on Godunov scheme
投稿时间:2018-05-01  
DOI:10.13243/j.cnki.slxb.20180388
中文关键词: 地表径流  二维数值模拟  浅水方程  非结构网格  Godunov格式
英文关键词: surface runoff  two-dimensional numerical simulation  shallow water equations  unstructured grid  Godunov scheme
基金项目:国家重点研发计划项目(2017YFC1502703);国家自然科学基金项目(51509263);中国水利水电科学研究院基本科研业务费项目(JZ0145B772017)
作者单位
张大伟 中国水利水电科学研究院, 北京 100038 
权锦 中国水利水电科学研究院, 北京 100038 
马建明 中国水利水电科学研究院, 北京 100038 
向立云 中国水利水电科学研究院, 北京 100038 
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中文摘要:
      采用完整二维浅水方程组模拟地表径流运动时会遇到干湿转化处理的难题,为解决该问题,本文采用坡面流为均匀覆盖流域地表的片状薄层水流的概念开发完成了一套新的基于Godunov格式的地表径流二维水动力模型。模型中,采用三角形网格离散计算区域,修正的Roe格式计算界面通量,底坡项直接积分求解,对高度非线性的摩阻项进行半隐式处理。本模型的最大优势是干湿处理变得异常简洁,单元水面和地形均无需任何特殊处理。通过4个经典算例验证了该模型具有良好的精度和稳定性。最后将模型用于解家湾流域S曲线的计算和实测场次降雨径流过程的模拟,所得计算结果合理、可靠,表明本文模型具备模拟流域地表径流运动的能力,可为小流域汇流计算提供一种新的解决方案。
英文摘要:
      When the two-dimensional fully dynamic water equations (SWEs) are used to simulate the sur-face runoff propagation, the problem of drying and wetting conversion is encountered. To resolve this prob-lem, a new numerical model has been developed using Godunov scheme based on the sheet flow concept. In this model,the corrected Roe's approximate Riemann solver for the calculation of fluxes in triangulated unstructured grid is used;the bottom slope terms are calculated directly by applying the Green's theorem, and the semi-implicit discretization method is adopted to deal with the highly nonlinear friction terms. The main advantage of this model is that the drying and wetting treatment becomes extremely simple, and no special reconstruction is required for the water surface and topography of the unit. The new model provides more comprehensive calculation capabilities, which are proved by four case studies. Finally, the model is applied in the Xiejiawan catchment for S curve calculation and rainfall runoff process simulation, and the result is reasonable and reliable. Therefore, the model has been proved that it has the ability to simulate surface runoff propagation in real-world catchments and it can provide a new way for the calculation of sur-face runoff in small watershed.
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