Left heart hemodynamics simulations with fluid-structure interaction and reduced valve modeling - Département de mécanique
Preprints, Working Papers, ... Year : 2024

Left heart hemodynamics simulations with fluid-structure interaction and reduced valve modeling

Abstract

The combination of reduced models of cardiac valve dynamics with a one-way kinematic uncoupling of blood flow and electromechanics is a widespread approach for reducing the complexity of cardiac hemodynamics simulations. This comes however with a number of shortcomings: artificial pressure oscillations, missing isovolumetric phases and valve laws without precise continuous formulation. This paper is aimed at overcoming these three difficulties while still mitigating computational cost. A novel reduced model of valve dynamics is proposed in which unidirectional flow is enforced in a mathematically sound fashion. Artificial pressure oscillations are overcome by considering a fluid-structure interaction model, which couples bi-ventricular electromechanics and blood flow in the left cavities. The interface coupling is solved in a partitioned fashion via an unconditionally stable loosely coupled scheme. A priori energy estimates are derived for both the continuous coupled problem and its numerical approximation. The benefits and limitations of the proposed approaches are illustrated in a comprehensive numerical study.
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Dates and versions

hal-04733426 , version 1 (12-10-2024)
hal-04733426 , version 2 (29-10-2024)

Identifiers

  • HAL Id : hal-04733426 , version 1

Cite

Oscar Ruz, Jérôme Diaz, Marina Vidrascu, Philippe Moireau, Dominique Chapelle, et al.. Left heart hemodynamics simulations with fluid-structure interaction and reduced valve modeling. 2024. ⟨hal-04733426v1⟩
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