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.
翻译:我们提出了一个对心脏电流结构互动问题进行数字模拟的松散组合计划,其解决方案通常在计算上十分密集,因为需要适当处理不同子模型的组合。 我们的计划依赖于对子问题进行单独处理,特别是流体结构互动的明确的罗宾-纽曼算法,目的是减少数字模拟的计算负担。 在理想和现实的心脏环境中,其结果都表明拟议方案在典型的心脏模拟制度下是稳定的。 与隐含流体结构互动方案相比,我们发现,虽然保护特性没有得到充分保存,但计算时间却大大受益于明确的方案。 总体而言,明确的离散化在准确性和成本之间是一种良好的权衡,是快速大规模模拟的隐含计划的一种宝贵替代方案。