Simulation of Stenosis in Blood Vessel by Lattice Boltzmann Method

The lattice Boltzmann method (LBM) for blood flow has been applied, the lattice Boltzmann model used in two dimensions and nine directions (D2Q9), solving by the Navier-Stokes (NS) equation with the Lattice Bhatnagar-Gross-Krook (LBGK) method and the equation of continuity with the Poiseuille's law to describe the behavior of the blood flow. In this work a LBM is used to simulate blood flow in case of stenosis in blood vessel and observe blood flow in condition of Raynolds number changes in blood vessel. The simulation results will show the velocity of blood flow and the high pressures emerge stenosis in blood vessel during to the obstacle become bigger in blood vessel with the time step in simulation.