An axisymmetric compact finite difference lattice boltzmann method for blood flow simulations

An axisymmetric lattice Boltzmann method with compact finite difference discretization is proposed and implemented to study the behaviour of the blood flow through lumen. Fourth order accurate finite difference schemes are used to discretize the discrete lattice Boltzmann equations. The solver is validated by simulating the steady flow through an axisymmetrically stenosed lumen with stenosis severities of 50% and 75%. The results show a good agreement with the data from the literature. Thereafter steady flow through an aneurysm with different width to height ratio is studied. In future the present solver will be extended to incorporate pulsatile inlet conditions as well as the ability to handle non-Newtonian fluids.