A class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry
PARISOT, Martin
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
PARISOT, Martin
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
< Réduire
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Langue
en
Article de revue
Ce document a été publié dans
SIAM Journal on Numerical Analysis. 2022
Society for Industrial and Applied Mathematics
Résumé en anglais
This work is devoted to the structure of the time-discrete Green-Naghdi equations including bathymetry. We use the projection structure of the equations to characterize homogeneous and inhomogeneous boundary conditions for ...Lire la suite >
This work is devoted to the structure of the time-discrete Green-Naghdi equations including bathymetry. We use the projection structure of the equations to characterize homogeneous and inhomogeneous boundary conditions for which the semi-discrete equations are well-posed. This structure allows us to propose efficient and robust numerical treatment of the boundary conditions that ensures entropy stability of the scheme by construction. Numerical evidence is provided to illustrate that our approach is suitable for situations of practical interest that are not covered by existing theory.< Réduire
Mots clés en anglais
shallow water flow
Green-Naghdi equations
dispersive equations
boundary conditions
prediction correction scheme
projection method
entropy satisfying scheme
Origine
Importé de halUnités de recherche