RICCHIUTO, Mario

Metadatos

Licencia de uso del documento

RICCHIUTO, Mario
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
Institut de Mathématiques de Bordeaux [IMB]

Idioma

HDR

Resumen en inglés

In this work we review 12 years of developments in the field of residual based discretizations and their application to the solution of the shallow water equations. Fundamental concepts related to the topic are recalled and he construction of second and higher order schemes for steady problems is presented. The generalization to time dependent problems by means of multi-step implicit time integration, space-time, and genuinely explicit techniques is thoroughly discussed. Finally, the issues of C-property, super consistency, and wetting/drying are analyzed in this framework showing the power of the residual based approach.< Leer menos

Palabras clave

analyse numérique

éléments finis

écoulements a surface libre

C-property

schémas d'ordre élévé

preservation de la monotonie

preservation de la positivité

Palabras clave en inglés

numerical analysis

finite elements

free surface flows

high order schemes

monotonicity preservation

positivity preservation

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251