Left Heart Hemodynamics Simulations With Fluid–Structure Interaction and Reduced Valve Modeling
Year: 2025
Type: article
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.
DOI: 10.1002/cnm.70088
Institutions: Centre National de la Recherche Scientifique, Institut national de recherche en sciences et technologies du numérique, Sorbonne Université, Laboratoire Jacques-Louis Lions, COMMEDIA: Mathématiques et calcul scientifique pour les applications bio-médicales, École Polytechnique, Centre de Mathématiques Appliquées de l'École polytechnique, Institut Polytechnique de Paris
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4403407069
