On temporal homogenization in the numerical simulation of atherosclerotic plaque growth
Numerical Analysis
2021-06-18 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2106.09394,
title = {On temporal homogenization in the numerical simulation of atherosclerotic plaque growth},
author = {Stefan Frei and Alexander Heinlein and Thomas Richter},
journal= {arXiv preprint arXiv:2106.09394},
year = {2021}
}