Simulation and control of a nonsmooth Cahn--Hilliard Navier--Stokes system with variable fluid densities
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2617 | |
dc.contributor.author | Gräßle, Carmen | |
dc.contributor.author | Hintermüller, Michael | |
dc.contributor.author | Hinze, Michael | |
dc.contributor.author | Keil, Tobias | |
dc.date.accessioned | 2022-06-23T14:30:45Z | |
dc.date.available | 2022-06-23T14:30:45Z | |
dc.date.issued | 2019 | |
dc.description.abstract | We are concerned with the simulation and control of a two phase flow model governed by a coupled Cahn--Hilliard Navier--Stokes system involving a nonsmooth energy potential.We establish the existence of optimal solutions and present two distinct approaches to derive suitable stationarity conditions for the bilevel problem, namely C- and strong stationarity. Moreover, we demonstrate the numerical realization of these concepts at the hands of two adaptive solution algorithms relying on a specifically developed goal-oriented error estimator.In addition, we present a model order reduction approach using proper orthogonal decomposition (POD-MOR) in order to replace high-fidelity models by low order surrogates. In particular, we combine POD with space-adapted snapshots and address the challenges which are the consideration of snapshots with different spatial resolutions and the conservation of a solenoidal property. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9201 | |
dc.identifier.uri | https://doi.org/10.34657/8239 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2617 | |
dc.relation.issn | 2198-5855 | |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | |
dc.subject.other | Two phase flow | eng |
dc.subject.other | POD model order reduction | eng |
dc.subject.other | adaptivity | eng |
dc.subject.other | nonsmooth systems | eng |
dc.subject.other | mathematical programming with equilibrium constraints | eng |
dc.subject.other | optimal control | eng |
dc.title | Simulation and control of a nonsmooth Cahn--Hilliard Navier--Stokes system with variable fluid densities | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 25 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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