Simulation Of A Systolic Cycle In A Realistic Artery With The Lattice Boltzmann Bgk Method

Introduction Recently, we have investigated the accuracy of the LBGK model in recovering analytical Womersley solutions for oscillatory two dimensional channel flow and three dimensional tube flow, covering a range of Womersley and Reynolds numbers. We demonstrated that LBGK is accurate enough to simulate time-dependent fluid flows, such as blood flow in arteries. 1 As a next step, the D3Q19 quasi incompressible LBGK model is used to simulate systolic flow in a rigid tube and in a model of the human abdominal aorta. 2. Simulations 2.1. Systolic flow in a tube The main objective for this benchmark is to test the accuracy of the simple bounceback rule against a curved boundary condition recently proposed by Bouzidi et al. Although it is known that the bounce-back rule is first order accurate while most curved boundary conditions are claimed to be of second order, the bounce-back rule is still more attractive for its simplicity and exact mass conservation. We test the errors ass

Lattice BGK simulations of flow in a symmetric bifurcation

Surgical planning as a treatment for vascular diseases requires fast blood flow simulations that are efficient in handling changing geometry. It is, for example, necessary to try different paths of a planned bypass and study the resulting hemodynamic flow fields before deciding the final geometrical solution. With the aid of a real time interactive simulation environment that uses an efficient flow solver, this allows flexible treatment planning. In this article, we demonstrate that the lattice Boltzmann method can be an alternative robust computational fluid dynamics technique for such kind of applications. Steady flow in a 2D symmetric bifurcation is studied and the obtained flow fields and stress tensor components are compared to those obtained by a Navier--Stokes (NS) solver. We also demonstrate that the method is fully adaptive to interactively changing geometry