In this work a 2D mathematical model for simulating the sedimentation of suspended particles in canals is proposed. This model is obtained by coupling the shallow water equations for hydrodynamics with the Exner equations for sediment transport. Looking to avoid the suspended particles settling and their unwanted effects, the model is used to formulate the problem of the management of an irrigation canal, as an optimal control problem (OCP) of partial differential equations. The OCP is solved by interfacing MIKE21 package for modelling stage, with the authors' own MATLAB code for optimizing purpose. Finally, some numerical results are presented for a realistic case.
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