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Simulation numérique du transport sédimentaire : aspects déterministes et stochastiques

Abstract : In this thesis, we are interested on the study of a sediment transport model through two different approaches. One of them concerns the numerical modelling of the problem and proposes a numerical problem-solving method based on an approximate Riemann solver for the Saint-Venant-Exner system which is one of the most common model to deal with sedimentary bed-load transport. This last one is based on a coupling between the hydraulic model of Saint-Venant and the morphodynamic model of Exner. The key point of the proposed method is the treatment of the coupling issue. Indeed, there exists two strategies; the first one consists on decoupling the resolution of the fluid part from the solid part and making them interact at fixed times whereas the second one considers a coupled approach to solve the system by jointly updating the hydraulic and solid quantities at same times. We then raise the issue of the choice of the strategy for which we suggest answers by comparing both approaches. The other one focuses on the development of a methodology to study the uncertainties related to the model previously mentioned. To this end, we propose a stochastic formulation of the Saint-Venant-Exner system and we look for characterizing the variabilities of the outputs in relation to the naturally random input parameters. This first study reveals the need for a return to the Saint-Venant system with a perturbed bed to understand the sensitivity of the hydraulic quantities on the topographical perturbations.
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Submitted on : Thursday, December 8, 2016 - 3:06:05 PM
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Philippe Ung. Simulation numérique du transport sédimentaire : aspects déterministes et stochastiques. Analyse numérique [math.NA]. Université d'Orléans, 2016. Français. ⟨NNT : 2016ORLE2019⟩. ⟨tel-01412545⟩

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