Contributions to the development of residual discretizations for hyperbolic conservation laws with application to shallow water flows
| dc.contributor.advisor | Alain Lerat(alain.LERAT@ensam.eu) | |
| hal.structure.identifier | Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | RICCHIUTO, Mario | |
| dc.contributor.other | Remi Abgrall (director), | |
| dc.contributor.other | Mejdi Azaiez (membre invité) | |
| dc.contributor.other | Thierry Colin (reviewer) | |
| dc.contributor.other | Alexandre Ern (reviewer) | |
| dc.contributor.other | Alain Lerat (president) | |
| dc.contributor.other | Luc Mieussens (membre invité) | |
| dc.contributor.other | Claus-Dieter Munz (reviewer) | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.subject | analyse numérique | |
| dc.subject | éléments finis | |
| dc.subject | écoulements a surface libre | |
| dc.subject | C-property | |
| dc.subject | schémas d'ordre élévé | |
| dc.subject | preservation de la monotonie | |
| dc.subject | preservation de la positivité | |
| dc.subject.en | numerical analysis | |
| dc.subject.en | finite elements | |
| dc.subject.en | free surface flows | |
| dc.subject.en | high order schemes | |
| dc.subject.en | monotonicity preservation | |
| dc.subject.en | positivity preservation | |
| dc.title.en | Contributions to the development of residual discretizations for hyperbolic conservation laws with application to shallow water flows | |
| dc.type | HDR | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.subject.hal | Sciences de l'environnement | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph] | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| bordeaux.type.institution | Université Sciences et Technologies - Bordeaux I | |
| hal.identifier | tel-00651688 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//tel-00651688v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=RICCHIUTO,%20Mario&rft.genre=unknown |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||