Lattice‐BGK simulation of steady flow through vascular tubes with double constrictions

Abstract

Purpose

The aim of the present study is to evaluate the accuracy and efficiency of Lattice‐BGK (LBGK) method application in simulation of the 3D flow through complex geometry. On the other hand, the steady flows through vascular tube with Reynolds number 10‐150 and different constriction spacing ratios are simulated.

Design/methodology/approach

The numerical method is based on the LGBK method with an incompressible D3Q19 model. To treat the curved boundary, the “bounce back” scheme combined with spatial interpolation of second order is applied.

Findings

The highly axisymmetric property in the direct 3D tube flow simulation is observed. Solutions obtained from LBGK method are quite consistent with that of finite volume method (FVM). The overall order of accuracy of these LBGK solutions is about 1.89. The LBGK incompressible D3Q19 model with the curved boundary treatment can handle the problems of 3D steady flow through complex geometry.

Research limitations/implications

Investigating the flow in constricted vascular tubes with different stenose shape and higher Reynolds number is left for future work.

Practical implications

Lattice BGK method is the very useful tool to investigate the steady vascular flow.

Originality/value

Applying LBGK method with incompressible D3Q19 model to simulate the steady flow through complex geometry. The accuracy and efficiency of the present LBGK solver are examined.

Citation

Huang, H., Lee, T.S. and Shu, C. (2006), "Lattice‐BGK simulation of steady flow through vascular tubes with double constrictions", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 16 No. 2, pp. 185-203. https://doi.org/10.1108/09615530610644262