FEM COUPLED WITH LP FOR WATER POLLUTION CONTROL

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.