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二维洪水演进数值模拟
引用本文:王志力,耿艳芬,金生.二维洪水演进数值模拟[J].计算力学学报,2007,24(4):533-538.
作者姓名:王志力  耿艳芬  金生
作者单位:1. 南京水利科学研究院,水文水资源与水利工程科学国家重点实验室,南京,210024;大连理工大学,土木水利学院,海岸和近海工程国家重点实验室,大连,116024
2. 东南大学,交通学院,南京,210096;大连理工大学,土木水利学院,海岸和近海工程国家重点实验室,大连,116024
3. 大连理工大学,土木水利学院,海岸和近海工程国家重点实验室,大连,116024
基金项目:国家自然科学基金(50379027),南京水利科学院基金(Y2061,YY2061),水文水资源与水利工程科学国家重点实验室开放基金(2006412911)资助项目
摘    要:利用非结构化的有限体积方法,建立了二维浅水方程高精度、高分辨率模型。以Roe类型的近似Rie-mann解计算界面通量,通过MUSCL和两步TVD Runge-Kutta法获得了空间和时间都具有二级精度的TVD格式。采用特征分解的方法处理底坡源项和采用半隐式方法处理摩擦源项均能保证了格式的稳定性与和谐性。通过水滴算例对模型进行验证,并应用此模型对98年胖头泡分滞洪区分洪过程进行模拟,获得滞洪区不同时段的淹没范围和淹没水深,为防洪救灾提供了依据。

关 键 词:分滞洪区  浅水方程  有限体积
文章编号:1007-4708(2006)04-0533-06
修稿时间:2005-12-26

The two-dimensional flood routing simulation
WANG Zhi-li,GENG Yan-fen,JIN Sheng.The two-dimensional flood routing simulation[J].Chinese Journal of Computational Mechanics,2007,24(4):533-538.
Authors:WANG Zhi-li  GENG Yan-fen  JIN Sheng
Institution:1. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Nanjing Hydraulic Research Institute, Nanjing 210024, China; 2. Transportation College, Southeast University, Nanjing 210096, China; 3. State Key Lab. of Costal and Offshore Eng. ,Dalian Univ. of Technol,Dalian 116024, China
Abstract:Unstructured finite-volume numerical algorithm was presented for solution of two-dimensional shallow water equations,which based on the Roe type approximate Riemann solver to the interface flux.The MUSCL and two-step Runge-Kutta were used to get high order scheme in spatial and time,respectively.Characteristics decomposition methods used to the slope source terms and semi-implicit method used to the friction source terms kept the scheme stability and harmonious.The drop test presents that this model is high resolution,high order and well for the wetting/dry interface.The model was also used to the PanTouPao detention basin to simulate the flood of 1998.
Keywords:flood detention basin  shallow water  finite volume
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