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矩形明渠均匀流水深及底宽的渐近耦合算法

Asymptotic Coupling Algorithm for Water Depth and Bed Width of Uniform Flow in Rectangular Open Channels

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【作者】 许延生王楠楠赵鸣雁

【Author】 Xu Yansheng Wang Nannan Zhao Mingyan (College of Civil & Hydraulic Engineering,Shangdong Univ.,Jinan 250061)

【机构】 山东大学土建与水利工程学院!济南250061

【摘要】 基于矩形明渠均匀流方程的渐近解 ,通过线性耦合并构造残差的有理分式逼近函数 ,提出了一种渐近耦合法用于建立矩形明渠均匀流方程的近似算式 该算式便于直接计算 ,适用范围广 ,在定义域内的精度可达 10 -4 通过基本方程变形 ,还提出了另外一种形式略微复杂但精度可达 10 -8的近似算式

【Abstract】 According to the asymptotic solution of uniform flow equations for rectangular open channels,througn linear coupling and constructing rational fraction approaching function for residual,a asymptotic coupled method for constructing approximate formula of uniform flow equation of rectangular open channels is presented.The formula is simple in form.And its precision in the whole domain is within 10 -4 .Through transforming the original formula,another approximate formula with a slightly complex form is also presented,however its precision is within 10 -8 .

  • 【文献出处】 三峡大学学报(自然科学版) ,Journal of University of Hydraulic and Electric Engineering/yichang , 编辑部邮箱 ,2001年02期
  • 【分类号】TV133
  • 【被引频次】7
  • 【下载频次】96
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