Efficient computation of blood velocity in the left atrial appendage: A practical perspective
Articles
Audrius Aidietis
Vilnius University Hospital Santaros Klinikos
Sigita Aidietienė
Vilnius University Hospital Santaros Klinikos
Oleg Ardatov
Faculty of Mechanics, Vilnius TECH
https://orcid.org/0000-0002-7221-3844
Sergejus Borodinas
Faculty of Civil Engineering, Vilnius TECH
https://orcid.org/0000-0002-0066-7249
Rimgaudas Katkus
Vilnius University Hospital Santaros Klinikos
Kristina Kaulakytė
Vilnius University
https://orcid.org/0000-0002-4718-1000
Nikolajus Kozulinas
Vilnius University
https://orcid.org/0000-0002-4543-721X
Grigory Panasenko
University Jean Monnet
https://orcid.org/0000-0003-1399-9661
Konstantinas Pileckas
Vilnius University
Gediminas Račkauskas
Vilnius University Hospital Santaros Klinikos
https://orcid.org/0000-0003-3272-4380
Published 2025-10-07
https://doi.org/10.15388/namc.2025.30.43740
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Keywords

Navier–Stokes equations
fluid structure interaction
mathematical modeling
computer simulations

How to Cite

Aidietis, A. (2025) “Efficient computation of blood velocity in the left atrial appendage: A practical perspective”, Nonlinear Analysis: Modelling and Control, 30, pp. 1–20. doi:10.15388/namc.2025.30.43740.

Abstract

The goal of the paper is to present the FSI (fluid-structure interaction) CFD (computational fluid dynamics) simulations of the blood flow in the LA (left atrium) for patient-specific geometry of the left atrium appendage (LAA). These simulations are important for the decision making in cardiology and cardiac surgery of the patients with atrial fibrillation. Nowadays according current atrial fibrillation treatment guidelines, initiation of oral anticoagulant therapy is recommended for patients with a CHA2DS2–VASc score greater or equal to 2 for males, and greater or equal to 3 for females, for lowering stroke risk. This therapy although has undesirable effects and provokes bleeding in a part of cases. That is why it is important to detect the stagnation zones of the blood flow in LAA. The presence of such zones justifies the necessity of the anticoagulant therapy.

The FSI CFD simulations in the heart is a challenging problem: the existing softwares are not too robust for real life Reynolds numbers and often do not converge to the solution of the Navier–Stokes equations for the blood coupled with the elasticity equations of the wall. That is why we first provide the CFD computations with the rigid wall when the codes are more stable. Using this solution as a source of parameters for the implicit numerical scheme solver, we then provide the FSI computations, which become much more robust.

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