<div class="csl-bib-body">
<div class="csl-entry">Key, F., von Danwitz, M., & Elgeti, S. (2023, May 31). <i>A Reduced-Order Model for Complex Domain Problems in the Time-Continuous Space-Time Setting</i> [Conference Presentation]. Math 2 Product (M2P 2023), Taormina, Italy. http://hdl.handle.net/20.500.12708/177595</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/177595
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dc.description.abstract
In scientific and engineering applications, simulation-based methods can provide insight and prediction capabilities with respect to the problem under investigation. They are used today, for example, in the context of component analysis, product design, optimization, uncertainty quantification (UQ), or to support ongoing operations as digital twins as well as through optimal control.
When using simulation-based methods, one faces many challenges, two of which are relevant to this work. The first challenge are applications that involve transient phenomena and complex domain deformations, possibly including topology changes. Thus, the computational model needs to be capable of appropriately handling both the corresponding mesh and the unsteady solution field. As a second challenge, the computational resources and the time required for evaluating the model can be critical. On the one hand, this is relevant when many different configurations or operating points need to be studied; for example in optimization or uncertainty quantification (UQ) scenarios. On the other hand, fast feedback times of the model are essential in in-line procedures, such as automatic control. All these cases have in common that (1) they can be characterized as so-called many query scenarios, in which one needs to perform a great number of model evaluations and (2) that the problems involved are formulated in a parametric manner. Here, employing highly resolved or full-order models (FOMs) may be infeasible due to a lack of sufficient resources. As a remedy, parametric reduced-order models (ROMs) are constructed to lower the computational demands, while maintaining a desired level of accuracy.
We address both types of complexity here and present a model order reduction (MOR) approach for transient problems including deforming domains with topological changes. The underlying FOM is constructed using the time-continuous space-time finite element method. Building on this FOM, we follow a projection-based MOR approach using proper orthogonal decomposition (POD). This particular combination of the resulting FOM and the MOR approach chosen here comes with the benefit that a ROM can be obtained in a straightforward manner, what otherwise would be quite involved for transient deforming domain problems including changes in the spatial topology.
We will present results for two examples of transient fluid flow in complex geometries as representatives for problems present in engineering or biomedical applications. The geometric complexity is caused by the movement of a valve plug (see Fig. 1) or the deformation of flexible artery walls. For both cases, an error and performance analysis of the respective ROM is performed to demonstrate the reduction with respect to the computational expense as well as the preservation of an adequate accuracy level.
en
dc.language.iso
en
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dc.subject
Model Order Reduction
en
dc.subject
Time-Continuous Space-Time Approach
en
dc.subject
Finite Element Method
en
dc.subject
Deforming Domain Problems
en
dc.subject
Parametric Flow Problems
en
dc.title
A Reduced-Order Model for Complex Domain Problems in the Time-Continuous Space-Time Setting
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.contributor.affiliation
Universität der Bundeswehr München, Germany
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dc.type.category
Conference Presentation
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tuw.publication.invited
invited
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tuw.researchTopic.id
C2
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tuw.researchTopic.id
C6
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tuw.researchTopic.name
Computational Fluid Dynamics
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tuw.researchTopic.name
Modeling and Simulation
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tuw.researchTopic.value
30
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tuw.researchTopic.value
70
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tuw.publication.orgunit
E317-01 - Forschungsbereich Leichtbau
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tuw.author.orcid
0000-0001-6622-4806
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tuw.author.orcid
0000-0002-2814-0027
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tuw.author.orcid
0000-0002-4474-1666
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tuw.event.name
Math 2 Product (M2P 2023)
en
tuw.event.startdate
30-05-2023
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tuw.event.enddate
01-06-2023
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.place
Taormina
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tuw.event.country
IT
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tuw.event.presenter
Key, Fabian
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wb.sciencebranch
Maschinenbau
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wb.sciencebranch
Sonstige Technische Wissenschaften
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wb.sciencebranch.oefos
2030
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wb.sciencebranch.oefos
2119
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wb.sciencebranch.value
60
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wb.sciencebranch.value
40
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item.cerifentitytype
Publications
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item.grantfulltext
none
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item.fulltext
no Fulltext
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item.languageiso639-1
en
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item.openairecristype
http://purl.org/coar/resource_type/c_18cp
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item.openairetype
conference paper not in proceedings
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crisitem.author.dept
E317-01-1 - Forschungsgruppe Numerische Analyse- und Designmethoden
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crisitem.author.dept
Universit�t der Bundeswehr M�nchen
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crisitem.author.dept
E317-01 - Forschungsbereich Leichtbau
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crisitem.author.orcid
0000-0001-6622-4806
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crisitem.author.orcid
0000-0002-2814-0027
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crisitem.author.orcid
0000-0002-4474-1666
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crisitem.author.parentorg
E317-01 - Forschungsbereich Leichtbau
-
crisitem.author.parentorg
E317 - Institut für Leichtbau und Struktur-Biomechanik