On temporal homogenization in the numerical simulation of atherosclerotic plaque growth

Frei, Stefan; Heinlein, Alexander; Richter, Thomas

On temporal homogenization in the numerical simulation of atherosclerotic plaque growth

Dateien

Frei_2-1mkni88xm5yo74.pdfGröße: 269.95 KBDownloads: 89

Datum

2021

Autor:innen

Frei, Stefan

Heinlein, Alexander

Richter, Thomas

Open Access-Veröffentlichung

Open Access Hybrid

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Proceedings in Applied Mathematics and Mechanics. Wiley. 2021, 21(1), e202100055. ISSN 1617-7061. eISSN 1617-7061. Available under: doi: 10.1002/pamm.202100055

Zusammenfassung

A 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.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

FREI, 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.202100055

BibTex

@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}
}

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