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A Reduced Order Model formulation for left atrium flow: an Atrial Fibrillation case

2023/09/19 by Caterina Balzotti, Balzotti, Caterina, Pierfrancesco Siena +13 · 2 citations
Engineering · Medicine · Physics and Astronomy · #Cardiovascular Function and Risk Factors #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Vibration Analysis #Model Reduction and Neural Networks

paper · pdf · doi:10.48550/arxiv.2309.10601

openalex publication_date 2023/09/19 · openalex created_date 2024/05/17 · openalex updated_date 2026/07/30

Abstract

A data-driven Reduced Order Model (ROM) based on a Proper Orthogonal Decomposition - Radial Basis Function (POD-RBF) approach is adopted in this paper for the analysis of blood flow dynamics in a patient-specific case of Atrial Fibrillation (AF). The Full Order Model (FOM) is represented by incompressible Navier-Stokes equations, discretized with a Finite Volume (FV) approach. Both the Newtonian and the Casson's constitutive laws are employed. The aim is to build a computational tool able to efficiently and accurately reconstruct the patterns of relevant hemodynamics indices related to the stasis of the blood in a physical parametrization framework including the cardiac output in the Newtonian case and also the plasma viscosity and the hematocrit in the non-Newtonian one. Many FOM-ROM comparisons are shown to analyze the performance of our approach as regards errors and computational speed-up.

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