Fluid-structure interaction simulations of venous valves: A monolithic ALE method for large structural displacements

International Journal for Numerical Methods in Biomedical Engineering
Sara Calandrini, Eugenio Aulisa

Abstract

Venous valves are bicuspidal valves that ensure that blood in veins only flows back to the heart. To prevent retrograde blood flow, the two intraluminal leaflets meet in the center of the vein and occlude the vessel. In fluid-structure interaction (FSI) simulations of venous valves, the large structural displacements may lead to mesh deteriorations and entanglements, causing instabilities of the solver and, consequently, the numerical solution to diverge. In this paper, we propose an arbitrary Lagrangian-Eulerian (ALE) scheme for FSI simulations designed to solve these instabilities. A monolithic formulation for the FSI problem is considered, and due to the complexity of the operators, the exact Jacobian matrix is evaluated using automatic differentiation. The method relies on the introduction of a staggered in time velocity to improve stability, and on fictitious springs to model the contact force of the valve leaflets. Because the large structural displacements may compromise the quality of the fluid mesh as well, a smoother fluid displacement, obtained with the introduction of a scaling factor that measures the distance of a fluid element from the valve leaflet tip, guarantees that there are no mesh entanglements in the flui...Continue Reading

References

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Sep 25, 2016·Medical & Biological Engineering & Computing·Elina SoiferShmuel Einav
Dec 24, 2017·International Journal for Numerical Methods in Biomedical Engineering·Sara CalandriniEugenio Aulisa

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Citations

Dec 29, 2019·International Journal for Numerical Methods in Biomedical Engineering·S CalandriniG Ke
Aug 15, 2020·BioImpacts : BI·Zahra HajatiSomaieh Matin

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