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Simulation du ruissellement d'eau de pluie sur des surfaces agricoles

Abstract : In this work, we aim at developping both a model and a numerical method adapted to the simulation of rainfallrunoff on agricultural fields. The model used is a system of partial differential equations for shallow water flows :namely the system of Saint Venant. Rain and infiltration are treated as source terms and with a coupled model ofinfiltration. Because of the hyperbolicity and conservativity properties, we are using a finite volume scheme with thehydrostatic reconstruction. This reconstruction allows us to deal with stationary equilibria and wet/dry transitionsdu to rainfall events. First, a systematic comparison on analytic solutions is achieved between various numericalfluxes, two second order reconstructions (a MUSCL and a modified ENO reconstructions) and different numericaltreatment of the friction term. This allows us to choose a numerical method adapted to runoff simulation. Moreoverit is able to catch roll waves phenomenons. Then we are interested in the rain and infiltration treatment. Infiltrationis modeled thanks to the Green Ampt model. This method is thereafter generalized to two dimensions and validatedon experimental results obtained by the INRA of Orléans and the IRD. The chosen numerical method has beenimplemented in an C++ open-source software for rainfall runoff on agricultural fields simulations : FullSWOF_2D.
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Olivier Delestre. Simulation du ruissellement d'eau de pluie sur des surfaces agricoles. Autre [q-bio.OT]. Université d'Orléans, 2010. Français. ⟨NNT : 2010ORLE2016⟩. ⟨tel-00531377v3⟩

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