On temporal homogenization in the numerical simulation of atherosclerotic plaque growth

Journal Article (2021)
Author(s)

Stefan Frei (Universität Konstanz)

A. Heinlein (TU Delft - Numerical Analysis)

Thomas Richter (Otto-von-Guericke University)

Research Group
Numerical Analysis
Copyright
© 2021 Stefan Frei, A. Heinlein, Thomas Richter
DOI related publication
https://doi.org/10.1002/pamm.202100055
More Info
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Publication Year
2021
Language
English
Copyright
© 2021 Stefan Frei, A. Heinlein, Thomas Richter
Research Group
Numerical Analysis
Issue number
1
Volume number
21
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Abstract

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.