Séminaire
Titre :
A variational discretization of the rotating shallow water equations on the sphere
Nom du conférencier :
R. Brecht
Son affiliation :
Memorial University of Newfoundland
Laboratoire organisateur : LMD
Date et heure : 14-12-2018 14h00
Lieu :
ENS - 24 rue Lhomond - 75005 Paris (departement de geosciences - 5eme etage - salle Serre)
Résumé :
We develop a variational integrator for the shallow-water equations on a rotating sphere. The variational integrator is built around a discretization of the continuous Euler–Poincaré reduction framework for Eulerian hydrodynamics. We describe the discretization of the continuous Euler–Poincaré equations on arbitrary simplicial meshes. Standard numerical tests are carried out to verify the accuracy and the excellent conservational properties of the discrete variational integrator.
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