NOELLE, Sebastian; PARISOT, Martin; TSCHERPEL, Tabea

Metadatos

Licencia de uso del documento

NOELLE, Sebastian
RWTH Aachen University = Rheinisch-Westfälische Technische Hochschule Aachen [RWTH Aachen]

PARISOT, Martin
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]

TSCHERPEL, Tabea
Universität Bielefeld = Bielefeld University

Idioma

Article de revue

Este ítem está publicado en

SIAM Journal on Numerical Analysis. 2022

Society for Industrial and Applied Mathematics

Resumen en inglés

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.< Leer menos

Palabras clave en inglés

shallow water flow

Green-Naghdi equations

dispersive equations

boundary conditions

prediction correction scheme

projection method

entropy satisfying scheme

Metadatos

Compartir este ítem

Licencia de uso del documento

A class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry

Idioma

Este ítem está publicado en

Resumen en inglés

Palabras clave en inglés

URI

Orígen

Centros de investigación