New numerical schemes for extreme geophysical phenomena

##Final GeoNum Workshop ###New numerical schemes for extreme geophysical phenomena

The GeoNum project aims at deriving high-order numerical methods to approximate nonlinear hyperbolic systems that arise when considering gravitational flows. The objectives are twofold. On the one hand, relevant models have to be carefully chosen in order to perform simulations of physical interest. Indeed, geophysical flows are generally modelled using Saint-Venant equations, which are not systematically well adapted to predict sophisticated shallow water flows. These models have to be extended to take into account important phenomena including turbulence, complex bathymetries or the sediments' impact on the topography's variation. On the other hand, the developments of new strategies to enforce highly accurate approximations required to simulate environmental flows are considered. Moreover, a particular attention must be paid on the robustness of the suggested algorithms. To address such an issue, classical schemes have to be extended into relevant high order approximations independently of both chosen topography and domain geometry. As a consequence, the resulting approaches are well adapted to perform real-life simulations.

Lieu: Laboratoire de Mathématiques Jean Leray

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