On temporal homogenization in the numerical simulation of atherosclerotic plaque growth

dc.contributor.authorFrei, Stefan
dc.contributor.authorHeinlein, Alexander
dc.contributor.authorRichter, Thomas
dc.date.accessioned2021-09-29T12:01:44Z
dc.date.available2021-09-29T12:01:44Z
dc.date.issued2021-12-14
dc.description.abstractA temporal homogenization approach for the numerical simulation of atherosclerotic plaque growth is extended to fully coupled fluid-structure interaction (FSI) simulations. The numerical results indicate that the two-scale approach yields significantly different results compared to a simple heuristic averaging, where only stationary long-scale FSI problems are solved, confirming the importance of incorporating stress variations on small time-scales. In the homogenization approach, a periodic fine-scale problem, which is periodic with respect to the heart beat, has to be solved for each long-scale time step. Even if no exact initial conditions are available, periodicity can be achieved within only 2–3 heart beats by simple time-stepping.eng
dc.description.versionpublishedde
dc.identifier.arxiv2106.09394eng
dc.identifier.doi10.1002/pamm.202100055eng
dc.identifier.ppn1786284197
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dc.language.isoengeng
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dc.titleOn temporal homogenization in the numerical simulation of atherosclerotic plaque growtheng
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@article{Frei2021-12-14tempo-55085,
  year={2021},
  doi={10.1002/pamm.202100055},
  title={On temporal homogenization in the numerical simulation of atherosclerotic plaque growth},
  number={1},
  volume={21},
  issn={1617-7061},
  journal={Proceedings in Applied Mathematics and Mechanics},
  author={Frei, Stefan and Heinlein, Alexander and Richter, Thomas},
  note={Article Number: e202100055}
}
kops.citation.iso690FREI, Stefan, Alexander HEINLEIN, Thomas RICHTER, 2021. On temporal homogenization in the numerical simulation of atherosclerotic plaque growth. In: Proceedings in Applied Mathematics and Mechanics. Wiley. 2021, 21(1), e202100055. ISSN 1617-7061. eISSN 1617-7061. Available under: doi: 10.1002/pamm.202100055deu
kops.citation.iso690FREI, Stefan, Alexander HEINLEIN, Thomas RICHTER, 2021. On temporal homogenization in the numerical simulation of atherosclerotic plaque growth. In: Proceedings in Applied Mathematics and Mechanics. Wiley. 2021, 21(1), e202100055. ISSN 1617-7061. eISSN 1617-7061. Available under: doi: 10.1002/pamm.202100055eng
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