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下边界条件为水位流量关系的扩散波洪水演算方法研究
引用本文:黄国如,胡和平,田富强,尹大凯. 下边界条件为水位流量关系的扩散波洪水演算方法研究[J]. 水科学进展, 2001, 12(4): 479-484
作者姓名:黄国如  胡和平  田富强  尹大凯
作者单位:清华大学水利水电工程系, 北京, 100084
基金项目:国家重点基础研究发展规划(973)项目(G1999043607);教育部高等学校骨干教师支持计划(1999)
摘    要:经大量的理论分析和实际洪水演算表明,扩散波可较好地反映洪水波的运动特点。本文基于河道下断面的水位流量关系和连续方程的联立求解,导出了水位流量关系型的下边界条件。利用Laplace变换,得到了扩散波方程在该边界条件下的解析解。文中的求解过程表明,可利用该法进行洪水演算,关键在于如何与实际洪水结合,这个问题有待进一步地分析研究。

关 键 词:扩散波方程   水位流量关系   下边界条件   洪水演算
文章编号:1001-6791(2001)04-0479-06
收稿时间:2000-09-08
修稿时间:2000-09-08

Study on Diffusive Wave Flood Routing for the Stage Discharge Relationship Downstream Boundary Condition
HUANG Guo-ru,HU He-ping,TIAN Fu-qiang,YIN Da-kai. Study on Diffusive Wave Flood Routing for the Stage Discharge Relationship Downstream Boundary Condition[J]. Advances in Water Science, 2001, 12(4): 479-484
Authors:HUANG Guo-ru  HU He-ping  TIAN Fu-qiang  YIN Da-kai
Affiliation:Department of Hydraulic and Hydropower Engineering, Tsinghua University, Beijing 100084, China
Abstract:It is proved that the diffusive equation is accurate enough, but relatively simple, to calculate flood propagation both in theoretical and practical perspectives.The-stage discharge curve at the downstream boundary is combined with the cont inuity equat ion of the St Venant equations to create the stage discharge relationship type boundary condition for the downstream condition The Laplace transform method is employed to obtain the analytical solut ion to the diffusive equation with the boundary condit ion A case study indicates that the proposed method is adequate to calculate channel flood propagation.
Keywords:diffusion equation  stage-discharge curve  downstream boundary condition  flood routing  
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