Control of canal flow by adjoint sensitivity method

A new method for control of unsteady flow in open channels is presented. Co ntrol is achieved using an iterative approach, the Broyden, Fletcher, Goldf arb, and Shanno quasi-Newton method that utilizes an adjoint sensitivity me thod to efficiently compute gradient information. The adjoint equations are derived from the differential form of the full shallow-water equations in one dimension and the resulting sensitivies allow a wide class of flows to be controlled. In addition, the adjoint sensitivity method permits both sch eduled and adaptive flow control to be achieved. Application of the method to scheduled flow control is presented.