Publikation: On temporal homogenization in the numerical simulation of atherosclerotic plaque growth
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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.
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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.202100055BibTex
@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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