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Contributions to the development of residual discretizations for hyperbolic conservation laws with application to shallow water flows

dc.contributor.advisorAlain Lerat(alain.LERAT@ensam.eu)
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorRICCHIUTO, Mario
dc.contributor.otherRemi Abgrall (director),
dc.contributor.otherMejdi Azaiez (membre invité)
dc.contributor.otherThierry Colin (reviewer)
dc.contributor.otherAlexandre Ern (reviewer)
dc.contributor.otherAlain Lerat (president)
dc.contributor.otherLuc Mieussens (membre invité)
dc.contributor.otherClaus-Dieter Munz (reviewer)
dc.date.accessioned2024-04-15T09:57:00Z
dc.date.available2024-04-15T09:57:00Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/198880
dc.description.abstractEnIn 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.isoen
dc.subjectanalyse numérique
dc.subjectéléments finis
dc.subjectécoulements a surface libre
dc.subjectC-property
dc.subjectschémas d'ordre élévé
dc.subjectpreservation de la monotonie
dc.subjectpreservation de la positivité
dc.subject.ennumerical analysis
dc.subject.enfinite elements
dc.subject.enfree surface flows
dc.subject.enhigh order schemes
dc.subject.enmonotonicity preservation
dc.subject.enpositivity preservation
dc.title.enContributions to the development of residual discretizations for hyperbolic conservation laws with application to shallow water flows
dc.typeHDR
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halSciences de l'environnement
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph]
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
bordeaux.hal.laboratoriesLaboratoire Bordelais de Recherche en Informatique (LaBRI) - UMR 5800*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.type.institutionUniversité Sciences et Technologies - Bordeaux I
hal.identifiertel-00651688
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//tel-00651688v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=RICCHIUTO,%20Mario&rft.genre=unknown


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