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.
Original language | English |
---|---|
Article number | e202100055 |
Number of pages | 5 |
Journal | Proceedings in Applied Mathematics and Mechanics |
Volume | 21 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2021 |
Event | 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) - Aachen, Germany Duration: 15 Aug 2022 → 19 Aug 2022 |