Optimal control of flood using finite element method.

This paper presents a method for optimal control of flood propagating through a reservior of river channel using the combination of the finite element method and optimal control theory. The numerical model of the flood propagation can be expressed by the linear two dimensional shallow water equation and the equation can be solved by the two step explicit schemes. For the control theory, the method presented by Sakawa and Shindo is effectively used. It is shown that the water elevation can be controlled as flat as possible by adjusting the discharge of the dam gate. This method is also adaptable to the control constraining the control outflow within the limit of inflow into a reservoir.