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.
Cite
@article{arxiv.2309.10601,
title = {A Reduced Order Model formulation for left atrium flow: an Atrial Fibrillation case},
author = {Caterina Balzotti and Pierfrancesco Siena and Michele Girfoglio and Giovanni Stabile and Jorge Dueñas-Pamplona and José Sierra-Pallares and Ignacio Amat-Santos and Gianluigi Rozza},
journal= {arXiv preprint arXiv:2309.10601},
year = {2023}
}