Water pollution control in stream network by finite element and linear programming method
Water pollution control in stream network by finite element and linear programming method
复制标题
有限元线性规划法控制河网水污染
DOI：
10.2183/pjab.75.138
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
S. Maeda
中科院分区：
文献类型：
--
作者：
T. Kawachi;S. Maeda
提出了一种基于有限元和线性规划法（FE和LP法）的河流水污染控制模型。该模型考虑了一个相互连接的溪流网络和两种水质成分，生化需氧量（BOD）和溶解氧（DO）。采用有限元法将BOD和DO输运方程转化为线性代数方程组，直接作为线性规划问题的等式约束。为了计算这些约束的某些系数，用牛顿-拉夫逊方法求解了稳态渐变流的动力方程和连续性方程。运行该模型，可以得到河网出水口BOD负荷的最优分配。以一个假想的网络为例，证明该模型可作为控制溪水污染的有效工具。
A stream water pollution control model based on the concept of the finite element and linear programming method (FE and LP method) is presented. The model considers a network of interconnected streams and two water quality constituents, biochemical oxygen demand (BOD) and dissolved oxygen (DO). The finite element method is used to cast BOD and DO transport equations into a system of linear algebraic equations which are directly employed as equality constraints of a linear programming problem. To evaluate some of the coefficients of those constraints, dynamic and continuity equations for steady-state gradually varied flow are solved by the Newton-Raphson method. Operating the model, an optimal allocation of BOD loads from outfalls in the stream network can be obtained. An application is made to a hypothetical network to demonstrate that the model could be a useful tool for stream water pollution control.