  In this paper, we focus on investigating the influence on hydrodynamic
factors of different coupled computational models describing the interaction
between an incompressible fluid and two symmetric elastic or poroelastic
structures. The fluid region is governed by time dependent Navier-Stokes
equations; while for the structure region, we employ two different types of
fully dynamic models to study the effects of elasticity and poroelasticity. It
is known that blood flow shows a non- Newtonian property in small vessels and
in situations of complex geometries. On one hand, we perform numerical
experiments for blood flow using the Carreau-Yasuda model to simulate the
viscosity and study the influence of non-Newtonian blood rheology as well as
the poroelasticity on a benchmark vessel, by means of comparing computational
results with models with Newtonian fluids or elastic structures. On the other
hand, we present a two-dimensional simulation of blood flow in an axisymmetric
stenosis artery, considering not only the non-Newtonian fluids properties but
also the fluid-structure interaction. The results of this study demonstrate
that the flow characteristics, including velocity and pressure fields, wall
shear stress, relative residence time, displacement and filtration velocity,
are affected by different models, geometries and parameters, such as
permeability and Lam\'{e} coefficients.
