1. A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction
- Author
-
Bucelli, Michele, Gabriel, Martin Geraint, Gigante, Giacomo, Quarteroni, Alfio, and Vergara, Christian
- Subjects
Cardiac modeling ,Multiphysics ,Electromechanics ,Fluid-structure interaction ,Robin-Neumann interface conditions ,Settore MAT/08 - Analisi Numerica ,Settore MAT/05 - Analisi Matematica ,FOS: Mathematics ,Numerical Analysis (math.NA) ,Mathematics - Numerical Analysis - Abstract
We present a loosely coupled scheme for the numerical simulation of the cardiac electro-fluid-structure interaction problem, whose solution is typically computationally intensive due to the need to suitably treat the coupling of the different submodels. Our scheme relies on a segregated treatment of the subproblems, in particular on an explicit Robin-Neumann algorithm for the fluid-structure interaction, aiming at reducing the computational burden of numerical simulations. The results, both in an ideal and a realistic cardiac setting, show that the proposed scheme is stable at the regimes typical of cardiac simulations. From a comparison with a scheme with implicit fluid-structure interaction, it emerges that, while conservation properties are not fully preserved, computational times significantly benefit from the explicit scheme. Overall, the explicit discretization represents a good trade-off between accuracy and cost, and is a valuable alternative to implicit schemes for fast large-scale simulations.
- Published
- 2022