章少辉,许 迪,李益农.基于混合数值解法的二维畦灌地表水流运动模拟I:模型建立[J].水利学报,2011,42(2): |
基于混合数值解法的二维畦灌地表水流运动模拟I:模型建立 |
A 2D surface water flow simulation of basin irrigation based on a hybrid numerical methodI. Establishment of model |
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DOI: |
中文关键词: 畦灌 二位地表水流 数值解法 时间-空间离散 模拟 |
英文关键词: basin irrigation 2D surface water flow numerical method time-space discretization simulation |
基金项目: |
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中文摘要: |
摘要:数值模拟畦灌水流运动过程可为地面灌溉系统设计与评价提供必要的工具和手段。本文在利用隐式三点后
差分隐时间格式对二维畦灌地表水流运动模型各矢量项进行时间离散基础上,采用有限差分法、有限体积法和有
限单元法分别对由隐时间格式与线性化过程生成的物理通量线性近似式系数的空间导数、物理通量的空间导数和
地形向量开展空间离散,对经时-空离散后形成的控制方程代数方程组进行数值解算,构建起基于混合数值解法
的二维畦灌地表水流运动模型。 |
英文摘要: |
Abstract:Numerical model of basin irrigation water flow is a necessary tool to design and evaluate surface irrigation systems. In this study,the time scheme of second order accurate implicit backwards difference was firstly used to form a time-stepping of 2D surface water flow model of basin irrigation,and then the finite-difference,finite-volume and finite element methods were respectively implemented to discretize the spatial derivative of physical flux linear approximation coefficient from implicit time scheme and linearization process,spatial derivative of physical flux and elevation vector of source items. Finally,time-space discretization formed algebra equations was solved. A 2D surface water flow numerical model of basin irrigation based on the hybrid numerical method was developed. |
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