dc.identifier.uri |
http://dx.doi.org/10.15488/12908 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/13012 |
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dc.contributor.author |
Stoter, Stein K.F.
|
|
dc.contributor.author |
Jessen, Etienne
|
|
dc.contributor.author |
Niedens, Viktor
|
|
dc.contributor.author |
Schillinger, Dominik
|
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dc.date.accessioned |
2022-11-01T07:04:22Z |
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dc.date.available |
2022-11-01T07:04:22Z |
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dc.date.issued |
2022 |
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dc.identifier.citation |
Stoter, S.K.F.; Jessen, E.; Niedens, V.; Schillinger, D.: A DEIM driven reduced basis method for the diffuse Stokes/Darcy model coupled at parametric phase-field interfaces. In: Computational geosciences : modeling, simulation and data analysis 26 (2022), S. 1465-1502. DOI: https://doi.org/10.1007/s10596-022-10164-4 |
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dc.description.abstract |
In this article, we develop a reduced basis method for efficiently solving the coupled Stokes/Darcy equations with parametric internal geometry. To accommodate possible changes in topology, we define the Stokes and Darcy domains implicitly via a phase-field indicator function. In our reduced order model, we approximate the parameter-dependent phase-field function with a discrete empirical interpolation method (DEIM) that enables affine decomposition of the associated linear and bilinear forms. In addition, we introduce a modification of DEIM that leads to non-negativity preserving approximations, thus guaranteeing positive-semidefiniteness of the system matrix. We also present a strategy for determining the required number of DEIM modes for a given number of reduced basis functions. We couple reduced basis functions on neighboring patches to enable the efficient simulation of large-scale problems that consist of repetitive subdomains. We apply our reduced basis framework to efficiently solve the inverse problem of characterizing the subsurface damage state of a complete in-situ leach mining site. © 2022, The Author(s). |
eng |
dc.language.iso |
eng |
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dc.publisher |
New York, NY [u.a.] : Springer Science + Business Media B.V. |
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dc.relation.ispartofseries |
Computational geosciences : modeling, simulation and data analysis (2022), online first |
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dc.rights |
CC BY 4.0 Unported |
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dc.rights.uri |
https://creativecommons.org/licenses/by/4.0/ |
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dc.subject |
Beavers-Joseph-Saffman conditions |
eng |
dc.subject |
Coupled Stokes/Darcy model |
eng |
dc.subject |
Discrete empirical interpolation method |
eng |
dc.subject |
In-situ leach mining |
eng |
dc.subject |
Model order reduction |
eng |
dc.subject |
Non-negativity preserving DEIM |
eng |
dc.subject |
Phase-field |
eng |
dc.subject |
Reduced basis method |
eng |
dc.subject.ddc |
630 | Landwirtschaft, Veterinärmedizin
|
ger |
dc.subject.ddc |
640 | Hauswirtschaft und Familienleben
|
ger |
dc.subject.ddc |
550 | Geowissenschaften
|
ger |
dc.title |
A DEIM driven reduced basis method for the diffuse Stokes/Darcy model coupled at parametric phase-field interfaces |
eng |
dc.type |
Article |
|
dc.type |
Text |
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dc.relation.essn |
1573-1499 |
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dc.relation.doi |
https://doi.org/10.1007/s10596-022-10164-4 |
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dc.bibliographicCitation.volume |
26 |
|
dc.bibliographicCitation.firstPage |
1465 |
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dc.bibliographicCitation.lastPage |
1502 |
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dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
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