24–27 oct. 2022
Institut de Mathématiques de Toulouse
Fuseau horaire Europe/Paris

On the "projection" structure of the Green-Naghdi equations

27 oct. 2022, 11:20
50m
Amphithéâtre Laurent Schwartz, building 1R3 (Institut de Mathématiques de Toulouse)

Amphithéâtre Laurent Schwartz, building 1R3

Institut de Mathématiques de Toulouse

118 route de Narbonne 31062 Toulouse Cedex 9

Orateur

Martin Parisot (Inria)

Description

Many reduced models of the water wave equations, in particular the Green-Naghdi equations, can be presented as a "projection" of the shallow water equations onto a set of admissible functions. We will see why we use quotation marks for this property, and how to use it to its advantage for many numerical and modeling problems (entropic stability, boundary conditions, balanced, HPC, coupling, dispersion relation).

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