Afficher la notice abrégée

A One-Time Truncate and Encode Multiresolution Stochastic Framework

hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorABGRALL, Remi
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorCONGEDO, Pietro Marco
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorGERACI, Gianluca
dc.date.accessioned2024-04-04T03:17:48Z
dc.date.available2024-04-04T03:17:48Z
dc.date.issued2012-05-17
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194341
dc.description.abstractEnIn this work a novel adaptive strategy for stochastic problems, inspired to the classical Harten's framework, is presented. The proposed algorithm allows building, in a very general manner, stochastic numerical schemes starting from a whatever type of deterministic schemes and handling a large class of problems, from unsteady to discontinuous solutions. Its formulations permits to recover the same results concerning the interpolation theory of the classical multiresolution approach, but with an extension to uncertainty quantification problems. The interest of the present strategy is demonstrated by performing several numerical problems where different forms of uncertainty distributions are taken into account, such as discontinuous and unsteady custom-defined probability density functions. In addition to algebraic and ordinary differential equations, numerical results for the challenging 1D Kraichnan-Orszag are reported in terms of accuracy and convergence. Finally, a two degree-of-freedom aeroelastic model for a subsonic case is presented. Though quite simple, the model allows recovering some physical key aspect, on the fluid/structure interaction, thanks to the quasi-steady aerodynamic approximation employed. The injection of an uncertainty is chosen in order to obtain a complete parameterization of the mass matrix. All the numerical results are compared with respect to classical Monte Carlo solution and with a non-intrusive Polynomial Chaos method.
dc.language.isoen
dc.title.enA One-Time Truncate and Encode Multiresolution Stochastic Framework
dc.typeRapport
dc.subject.halPhysique [physics]/Physique [physics]/Dynamique des Fluides [physics.flu-dyn]
dc.description.sponsorshipEuropeAdaptive Schemes for Deterministic and Stochastic Flow Problems
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.type.institutionINRIA Bordeaux, équipe CARDAMOM
bordeaux.type.reportrr
hal.identifierhal-00699026
hal.version1
dc.subject.itAdaptive grid
dc.subject.itStochastic collocation
dc.subject.itMultiresolution
dc.subject.itUncertainty Quantification
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00699026v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2012-05-17&rft.au=ABGRALL,%20Remi&CONGEDO,%20Pietro%20Marco&GERACI,%20Gianluca&rft.genre=unknown


Fichier(s) constituant ce document

FichiersTailleFormatVue

Il n'y a pas de fichiers associés à ce document.

Ce document figure dans la(les) collection(s) suivante(s)

Afficher la notice abrégée