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大型河网水力水质数值模拟方法 【作者】徐小明 【导师】汪德(火艹口口隹)

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大型河网水力水质数值模拟方法

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【作者】徐小明 【导师汪德(火艹口口隹)水利论文 e`c(K/T jmQ
【作者基本信息】河海大学,水力学及河流动力学,2001年,博士水利论文 W HK"s+O?F4f9l

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【中文摘要】 水力模型以描述河道洪水波运动的Saint-Venant方程组为基础,用Newton-Raphson方法直接求解按Preissmann加权四点格式进行离散所得的非线性代数方程组,提出了压缩存贮形式的Gauss列主元消去法并对数值解的收敛性进行了讨论;将支流流量的松弛迭代方法从树状河系推广到了环状河网,使任意复杂河网水力计算的问题都可化为一系列的单一河道的水力计算问题;建立了水力模型与水质模型的联接,初步应用于既有洪水、暴雨、强潮等综合影响,又存在多种水工建筑物及水力调度问题的大型复杂河网中的非恒定流水力、水质计算问题;利用MapInfo对计算结果的可视化进行了研究,有利于决策者快速、方便、准确地作出决策。主要研究内容如下: 1.用Newton方法直接求解按Preissmann加权四点格式离散扩展形式的Saint-Venant方程组所得的非线性代数方程组,提高了数值解的精确性,并对数值解的收敛性进行了讨论。 2.提出了压缩存贮形式的Gauss列主元消去法,该方法具有存贮量小、舍入误差小、数值计算稳定的特点,在一定程度上解决了河网水力计算问题中关于众多线性方程组的存贮及其求解过程中可能面临的...更多困难。 3.将树状河系支流流量的松弛迭代方法推广为环状河网支流流量的松弛迭代方法,从而实现了对于任意形式河网的复杂水力计算问题都化为一系列的单一河道的简单水力计算问题。 4.考虑到水力模型和水质模型对结点及河道定义的不同,建立了任意复杂河网下两者间的对应关系及水力模型和水质模型的自动联结,使河网中的水质计算问题得以用本文对应的水力模型计算的流量为基础进行求解,从而解决了大型复杂河网中的水质计算问题。 5.从河网水力、水质实际问题的需要出发,详细分析了水力、水质模型结点及河段之间的关系及河网整体与局部之间的关系,实现了任意添加结点、任意增减河道的可行性及或整体河网,或任意局部河网计算的灵活性。 6.以地理信息系统软件MapInfo为开发平台,集成了Visual Basic、Brand C++等软件,对计算结果的可视化显示进行了研究,使水位、流量等冗繁而枯燥的数值计算结果变得直观、生动,有利于决策者进行快速、方便、正确的决策。  还原

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5X}$Q#oqN{0【英文摘要】 Numerical Simulation Method for Large Scale River Networks Hydraulics and Water QualityABSTRACTBased on the Saint-venant equations describing the channel flow movement, the nonlinear algebraic equations derived by the use of Preissmann weighted implicit four-point scheme are solved with the Netwon-Raphson method. A combined Gauss main-element elimination method with compress-storage technique is proposed. The relaxation iterative method for solving branch river networks is extended, which can turn the problem of any complex river networks into the problem of a series of single rivers. The coupling of hydraulic model with water quality model is built up. The combined model was applied to a large complicated river networks with numerical hydraulic structure which influenced by strong tide, storm and heave rain. Visualization of computational results is realized by means of Maplnfo, which displays the computational results in fast, convenient and accurate way. The main achievements are as...更多 follows:1. Based on the Saint-venant equations describing the channel flow movement, the nonlinear algebraic equations derived by the use of Preissmann weighted implicit four-point scheme are solved with the Netwon-Raphson method, which raises the accurate of the numerical solution, and the convergence of the numerical solution is discussed,2. A combined Gauss main-element elimination method with compress-storage technique is proposed, which with the characteristic of less -storage requirement, small rounding off and high stability, and solved the problem of large storage requirements in solving large linear algebraic equations in river networks hydraulics,3. The relaxation iterative method of branch flow in tree-type river systems is extended to the loop-type river networks, which can turn the problem of any complex river networks hydraulics into the problem of a series of single river hydraulics;4. Considering the different definition of the junction and channel between the model of hydraulics and water quality, the automatic Unking the model of hydraulics with water quality in any complex river networks is built up, with which based on the flow pattern from computation, the problem of water quality numerical simulation in large scale complex river networks can be solved;5. According to the needs of the actual problems in hydraulics and water quality, analysis the relation of the junctions, channels between the hydraulics model and water quality model and the relation of the entire river networks and the local river networks, by this way adding junctions, adding or reducing rivers to the water networks and computation to entire river networks and the local river networks can be realized,6. Based on geographic information system software Maplnfo, and integration the software of Visual Basic, Brand C++ and so on, Visualization of the results of computation as water lever and flow is realized, which benefits for the management to manage in fast, convenient and accurate way.  还原

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【中文关键词】 环状河网; 非恒定流; 收敛性; 压缩存贮形式的Gauss列主元消去法; 松弛 迭代方法; 水力模型和水质模型的联接; 可视化
"|P{8rV|8Fu:C0【英文关键词】 loop-type river networks; unsteady flow; Gauss main-element elimination method with compress-storage technique; unking the model of hydraulics with water quality; visualization

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