FEM Coupled with LP for Water Pollution Control

by Tanehiro Futagami, Lect.; Dept. of Civ. Engrg., Hiroshima Inst. of Tech., Itsukaichi, Saiki, Hiroshima, Japan,
Mashio Yatsuzuka, Engr.; Koosei Construction Co. Ltd., Kyoto, Japan,
Nobuyuki Tamai, (A.M.ASCE), Assoc. Prof.; Dept. of Civ. Engrg., Univ. of Tokyo, Tokyo, Japan,

Serial Information: Journal of the Hydraulics Division, 1976, Vol. 102, Issue 7, Pg. 881-897

Document Type: Journal Paper


The FE (finite element) and LP (linear programming) method has been developed in order to solve systems of differential equations with equality or inequality constraints and an objective function. The applicability of the FE and LP method is shown through numerical examples of water pollution problems governed by the convective diffusion equation. The method makes it possible to obtain the optimal discharges from the various types of outfall to meet water quality requirements, and also the distribution patterns of several water qualities in the water basin simultaneously. A new criterion for selecting the locations of outfalls and the optimal volumes of dicharged wastewater may be given by the method. In order to check the results of the FE and LP method, an analytical method by the double Fourier series is developed and described briefly.

Subject Headings: Water pollution | Water quality | Water discharge | Finite element method | Coupling | Computer programming | Differential equations | Diffusion

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