A Component-Based Data Assimilation Strategy with Applications to Vascular Flows
| hal.structure.identifier | Laboratoire Analyse, Géométrie et Applications [LAGA] | |
| dc.contributor.author | BUI, Duc-Quang | |
| hal.structure.identifier | Laboratoire de Mathématiques de Reims [LMR] | |
| dc.contributor.author | MOLLO, Pierre | |
| hal.structure.identifier | Ecole Polytechnique Fédérale de Lausanne [EPFL] | |
| dc.contributor.author | NOBILE, Fabio | |
| hal.structure.identifier | Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS] | |
| dc.contributor.author | TADDEI, Tommaso | |
| dc.date.accessioned | 2024-04-04T02:33:03Z | |
| dc.date.available | 2024-04-04T02:33:03Z | |
| dc.date.issued | 2022 | |
| dc.identifier.issn | 2267-3059 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190440 | |
| dc.description.abstractEn | We present a parameterized-background data-weak (PBDW) approach [Y Maday, AT Patera, JD Penn, M Yano, Int J Numer Meth Eng, 102(5), 933-965] to the steady-state variational data assimilation (DA) problem for systems modeled by partial differential equations (PDEs) and characterized by multiple interconnected components, with emphasis on vascular flows. We focus on the problem of reconstructing the state of the system in one specific component, based on local measurements. The PBDW approach does not require the solution of any PDE model at prediction stage (projection-by-data) and, as such, enables local state estimates on single components, as long as good background and update spaces for the estimation can be constructed. We discuss the application of PBDW to a two-dimensional steady Navier-Stokes problem for a family of parameterized geometries, and investigate instead the effects of enforcing no-slip boundary conditions and incompressibility constraints on the background and update spaces to enhance the state estimation. Furthermore, we show an actionable strategy to train local reduced-order bases (ROBs) for the background space that can later be used for DA tasks. | |
| dc.language.iso | en | |
| dc.publisher | EDP Sciences | |
| dc.title.en | A Component-Based Data Assimilation Strategy with Applications to Vascular Flows | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1051/proc/202373089 | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.journal | ESAIM: Proceedings and Surveys | |
| bordeaux.page | 89-106 | |
| bordeaux.volume | 73 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03884154 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03884154v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=ESAIM:%20Proceedings%20and%20Surveys&rft.date=2022&rft.volume=73&rft.spage=89-106&rft.epage=89-106&rft.eissn=2267-3059&rft.issn=2267-3059&rft.au=BUI,%20Duc-Quang&MOLLO,%20Pierre&NOBILE,%20Fabio&TADDEI,%20Tommaso&rft.genre=article |
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