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An adaptive multiresolution semi-intrusive scheme for UQ in compressible fluid problems

hal.structure.identifierUniversität Zürich [Zürich] = University of Zurich [UZH]
dc.contributor.authorABGRALL, Rémi
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorCONGEDO, Pietro Marco
hal.structure.identifierDepartment of Mechanical Engineering [Stanford]
dc.contributor.authorGERACI, Gianluca
hal.structure.identifierDepartment of Mechanical Engineering [Stanford]
dc.contributor.authorIACCARINO, Gianluca
dc.date.accessioned2024-04-04T03:17:48Z
dc.date.available2024-04-04T03:17:48Z
dc.date.issued2015-01
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194342
dc.description.abstractEnThis paper deals a multiresolution strategy applied to a semi-intrusive scheme recently introduced by the authors in the context of uncertainty quantification (UQ) analysis for compressible fluids problems. The mathematical framework of the multiresolution framework is presented for the cell-average setting and the coupling with the existing semi-intrusive scheme is described from both the theoretical and practical point-of-view. Some reference test-cases are performed to demonstrate the convergence properties and the efficiency of the overall scheme: the linear advection problem for both smooth and discontinuous initial conditions, the inviscid Burgers equation and the 1D Euler system of equations to model an uncertain shock tube problem obtained by the well-known Sod shock problem. For all the cases presented, the convergence curves are computed with respect to semi-analytical solutions obtained for the stochastic formulation of the test cases. In the case of the shock tube problem, an original technique to obtain a reference high-accurate numerical stochastic solution has also been developed.
dc.language.isoen
dc.title.enAn adaptive multiresolution semi-intrusive scheme for UQ in compressible fluid problems
dc.typeRapport
dc.subject.halPhysique [physics]/Physique [physics]/Dynamique des Fluides [physics.flu-dyn]
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-01120412
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01120412v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2015-01&rft.au=ABGRALL,%20R%C3%A9mi&CONGEDO,%20Pietro%20Marco&GERACI,%20Gianluca&IACCARINO,%20Gianluca&rft.genre=unknown


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