@Article{CiCP-14-1,
author = {},
title = {A Lattice Boltzmann and Immersed Boundary Scheme for Model Blood Flow in Constricted Pipes: Part 2 – Pulsatile Flow},
journal = {Communications in Computational Physics},
year = {2013},
volume = {14},
number = {1},
pages = {153--173},
abstract = {<p style="text-align: justify;">One viable approach to the study of haemodynamics is to numerically model
this flow behavior in normal and stenosed arteries. The blood is either treated as Newtonian
or non-Newtonian fluid and the flow is assumed to be pulsating, while the
arteries can be modeled by constricted tubes with rigid or elastic wall. Such a task involves
formulation and development of a numerical method that could at least handle
pulsating flow of Newtonian and non-Newtonian fluid through tubes with and without
constrictions where the boundary is assumed to be inelastic or elastic. As a first
attempt, the present paper explores and develops a time-accurate finite difference lattice
Boltzmann method (FDLBM) equipped with an immersed boundary (IB) scheme
to simulate pulsating flow in constricted tube with rigid walls at different Reynolds
numbers. The unsteady flow simulations using a time-accurate FDLBM/IB numerical
scheme is validated against theoretical solutions and other known numerical data. In
the process, the performance of the time-accurate FDLBM/IB for a model blood flow
problem and the ease with which the no-slip boundary condition can be correctly implemented
is successfully demonstrated.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.171011.190712a},
url = {https://global-sci.com/article/80551/a-lattice-boltzmann-and-immersed-boundary-scheme-for-model-blood-flow-in-constricted-pipes-part-2-pulsatile-flow}
}