The modified Fluid Particle Model for non-linear Casson fluid and its parallel distributed implementation Original Research Article

The classical Fluid Particle Model (FPM), invented by Español, has been designed to simulate linear Newton fluid flow. We will present a modification of the FPM that allows to simulate flows for a class of fluids described by a non-linear constitutive equation. The inter-particle interaction parameters are adjusted for the locally variable viscosity. The method has been applied to simulate the blood flow in arteries, with a focus on capturing the pulse wave propagation. The blood has been modeled by the non-linear Casson law. Numerical results compare favorably with experimental data for the carotid artery. Details of a parallel implementation of the algorithm will also be presented.