An investigation of the effectiveness of block preconditioners on a non-Newtonian blood flow model

Newtonian and non-Newtonian fluid flow can be modeled by the steady-state incompressible Navier-Stokes equations. Developing a non-Newtonian blood flow model is the particular problem of interest for this thesis. The process of solving this problem involves utilizing iterative solvers which can perform with higher accuracy and efficiency if properly preconditioned. Physics-based preconditioners have been developed for solving the steady-state incompressible Navier-Stokes equations. The primary aim of this thesis is to apply the pressure convection-diffusion (PCD) preconditioner to a non-Newtonian flow model in order to investigate effectiveness.