Control Parametrization and Finite Element Method for Controlling Multi-species Reactive Transport in an Underground Channel
In this paper, a cleaning program involving effluent discharge of several species in a one-dimensional underground channel is considered. Due to environmental health requirements, the outlet concentration of each species at any time during the entire cleaning activities has to be kept at a certain low level in order to offset the deteriorating effect of contaminant destruction. Thus, a computational scheme using combined control parametrization and finite element method is used to develop a cleaning program to meet the above environmental health requirements. Numerical examples have been used to illustrate the efficiency of our method.
control parametrization underground channel species concentration optimal control galerkin scheme