Mathematical analysis of the optimal location of wastewater outfalls

摘要

In this work we deal with the design of wastewater treatment systems, mainly the optimal placement of underwater outfalls. This problem can be formulated as a state constrained optimal control problem where the control is the position of the outfalls, the cost function is the sum of the distances to the wastewater farms and the state equations are those modelling dissolved oxygen and biochemical oxygen demand concentrations. We discretize the problem by means of a characteristic Galerkin method and we propose an interior point algorithm for the numerical resolution of the discretized optimization problem. [References: 15]