Lattice Boltzmann method for simulating the viscous flow in large distensible blood vessels

2002 ◽  
Vol 65 (5) ◽  
Author(s):  
Haiping Fang ◽  
Zuowei Wang ◽  
Zhifang Lin ◽  
Muren Liu
2013 ◽  
Vol 444-445 ◽  
pp. 395-399
Author(s):  
Di Bo Dong ◽  
Sheng Jun Shi ◽  
Zhen Xiu Hou ◽  
Wei Shan Chen

A lattice Boltzmann method (LBM) with single-relaxation time and on-site boundary condition is used for the simulation of viscous flow in a three-dimensional (3D) lid-driven cavity. Firstly, this algorithm is validated by compared with the benchmark experiments for a standard cavity, and then the results of a cubic cavity with different inflow angles are presented. Steady results presented are for the inflow angle of and, and the Reynolds number is selected as 500. It is found that for viscous flow under moderate Reynolds number, there exists a primary vortex near the center and a secondly vortex at the lower right corner on each slice when, namely in a standard 3D lid-driven cavity, which cant be found when. So it can be thought that the flow pattern in a 3D lid-driven cavity depends not only on the Reynolds number but also the inflow angle.


RSC Advances ◽  
2017 ◽  
Vol 7 (49) ◽  
pp. 30673-30686
Author(s):  
Raja Rabhi ◽  
Abir Yahya ◽  
Bayssain Amami ◽  
Hacen Dhahri

In this work entropy generation and heat transfer for magnetohydrodynamic (MHD) forced convection flow in a micro duct filled with a porous medium are investigated using a modified axisymmetric Lattice Boltzmann Method.


2021 ◽  
Vol 11 (1) ◽  
Author(s):  
J. W. S. McCullough ◽  
P. V. Coveney

AbstractMany numerical studies of blood flow impose a rigid wall assumption due to the simplicity of its implementation compared to a full coupling with a solid mechanics model. In this paper, we present a localised method for incorporating the effects of elastic walls into blood flow simulations using the lattice Boltzmann method implemented by the open-source code HemeLB. We demonstrate that our approach is able to more accurately capture the flow behaviour expected in elastic walled vessels than ones with rigid walls. Furthermore, we show that this can be achieved with no loss of computational performance and remains strongly scalable on high performance computers. We finally illustrate that our approach captures the same trends in wall shear stress distribution as those observed in studies using a rigorous coupling between fluid dynamics and solid mechanics models to solve flow in personalised vascular geometries. These results demonstrate that our model can be used to efficiently and effectively represent flows in elastic blood vessels.


2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
D. Arumuga Perumal ◽  
Gundavarapu V. S. Kumar ◽  
Anoop K. Dass

This work is concerned with the lattice Boltzmann computation of two-dimensional incompressible viscous flow past a square cylinder confined in a channel. It is known that the nature of the flow past cylindrical obstacles is very complex. In the present work, computations are carried out both for steady and unsteady flows using lattice Boltzmann method. Effects of Reynolds number, blockage ratio, and channel length are studied in detail. As good care has been taken to include appropriate measures in the computational method, these results enjoy good credibility. To sum up, the present study reveals many interesting features of square cylinder problem and demonstrates the capability of the lattice Boltzmann method to capture these features.


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