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A data-driven Reduced Order Model (ROM) based on a Proper OrthogonalDecomposition - Radial Basis Function (POD-RBF) approach is adopted in thispaper for the analysis of blood flow dynamics in a patient-specific case ofAtrial Fibrillation (AF). The Full Order Model (FOM) is represented byincompressible 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 accuratelyreconstruct the patterns of relevant hemodynamics indices related to the stasisof the blood in a physical parametrization framework including the cardiacoutput in the Newtonian case and also the plasma viscosity and the hematocritin the non-Newtonian one. Many FOM-ROM comparisons are shown to analyze theperformance of our approach as regards errors and computational speed-up.

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