Optimal Control of Sediment Deposition in Shallow Waters
Sore S, Simpore Y (2025)
Publication Type: Journal article
Publication year: 2025
Journal
DOI: 10.1002/oca.3269
Abstract
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. In theses simulations, an experimental rectangular channel with a unit width and a length 100m was considered. First, based on the control result, a bed profile that minimizes sediment deposition while simultaneously stabilizing the system's state was identified. Then, additional simulations were conducted to illustrate the sensitivity of the control solution to variations in sediment parameters and to the initial conditions.
Involved external institutions
Burkina Faso (BF)How to cite
APA:
Sore, S., & Simpore, Y. (2025). Optimal Control of Sediment Deposition in Shallow Waters. Optimal Control Applications & Methods. https://doi.org/10.1002/oca.3269
MLA:
Sore, Seydou, and Yacouba Simpore. "Optimal Control of Sediment Deposition in Shallow Waters." Optimal Control Applications & Methods (2025).
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