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Simulation numérique d'un essai de surverse

Abstract : In this paper, the overtopping of an earthen, cohesive dike is considered. Physical and numerical modelling of such phenomenon is often a compromise between physical relevance, numerical precision and computing time. At this stage the overtopping free surface flow is modelled over a smooth or partly eroded slope. Progressive erosion and sediment transport phenomena are not addressed but shall be included later by (hydrodynamic) coupling. A bifluids Eulerian model at low Mach number is used to model the complex hydrodynamics of overtopping. This bi-fluid, non-viscous and almost incompressible model is physically more relevant than Saint-Venant models which are often used. Indeed, jets flows and recirculations are better dealt with by diphasic models. Obviously this model is less accurate than a Navier-Stokes model, with or without turbulence, but its formulation allows for a realistic three-dimensional representation of hydrodynamics through (computing) time-wise cheaper simulations. Specifically, the hyperbolic formulation of the problem to solve allows the use of a fast parallel explicit finite volume solver. It benefits from dynamic mesh refinement based on numerical entropy production criteria, in order to optimize the number of unknowns, thus computing time, while increasing the accuracy in areas of interest. Thanks to the adaptive mesh refinement procedure, steady flow conditions are quicker to obtain, and height and velocity field are in good agreement with field measurements. The results are also compared to computations performed with a commercial CFD software using a diphasic Navier-Stokes model and k-ω SST turbulent model.
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Submitted on : Saturday, May 16, 2020 - 6:30:39 PM
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S. Jeuck, Charrier Guillaume, F. Golay, Stéphane Bonelli. Simulation numérique d'un essai de surverse. Digues maritimes et fluviales de protection contre les inondations - 3e colloque - Digues 2019, Mar 2019, Aix-en-Provence, France. pp.8, ⟨10.5281/zenodo.2530076⟩. ⟨hal-02609792⟩



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