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OPTIMAL CONTROL OF SEDIMENT DEPOSITION IN SHALLOW WATERS
  • SEYDOU SORE,
  • Yacouba SIMPORE
SEYDOU SORE
Universite Norbert Zongo

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Yacouba SIMPORE
Universite Norbert Zongo
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Abstract

not-yet-known not-yet-known not-yet-known unknown This article presents an algebraic method for designing an initial bed profile to ensure minimal sediment deposition in open channels. We address the hyperbolic system of partial differential equations, known as the Saint-Venant-Exner system, which describes the behavior of water flow and sediment transport. By applying a priori estimation techniques and reformulating the problem as an optimal control problem, we construct a minimizing control law, via the adjoint method. This control law ensures the stability of the system and minimizes sediment deposition. In addition, a finite volume scheme is implemented to numerically solve both the direct system (SVE) and its adjoint system. Numerical simulations are provided for illustration.
13 Oct 2024Submitted to Optimal Control, Applications and Methods
16 Oct 2024Submission Checks Completed
16 Oct 2024Assigned to Editor
16 Oct 2024Review(s) Completed, Editorial Evaluation Pending
18 Oct 2024Reviewer(s) Assigned
02 Dec 2024Editorial Decision: Revise Minor
14 Dec 20241st Revision Received
17 Dec 2024Submission Checks Completed
17 Dec 2024Assigned to Editor
17 Dec 2024Review(s) Completed, Editorial Evaluation Pending
17 Dec 2024Reviewer(s) Assigned