Lattice Boltzmann models for blood flow simulations

We will review the Lattice Boltzmann methods as numerical solvers for the based Boltzmann transport equation used in kinetic theory to describe transport phenomena. Benefits over Navier-Stokes solvers are highlighted. The method is adapted to model steady and unsteady non-newtonian blood flow in benchmarks and realistic arteries. Non-Newtonian blood flow in a tube is investigated using te Carreau-Yasuda model for the shear thinning behavior. Results on velocity and shear stress are presented and compared to the unsteady Newtonian flows. Further comparison with other numerical methods is planned as future work.