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.
(2023). A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction [journal article - articolo]. In JOURNAL OF COMPUTATIONAL PHYSICS. Retrieved from https://hdl.handle.net/10446/247769
A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction
Gigante, Giacomo;Vergara, Christian
2023-01-01
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.File | Dimensione del file | Formato | |
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