1. Lattice Boltzmann simulation of fluid flows in two-dimensional channel with complex geometries
- Author
-
Zhang Chao-Ying, Liu Hai-Yan, Wen Bing-Hai, and Wang Qiang
- Subjects
Physics::Fluid Dynamics ,Physics ,Pulmonary blood vessel ,Quantitative Biology::Tissues and Organs ,Physics::Medical Physics ,Lattice Boltzmann methods ,General Physics and Astronomy ,Statistical physics ,Mechanics ,Boundary value problem ,Hagen–Poiseuille equation ,Lattice boltzmann simulation ,Communication channel - Abstract
Boundary conditions (BCs) play an essential role in lattice Boltzmann (LB) simulations. This paper investigates several most commonly applied BCs by evaluating the relative L2-norm errors of the LB simulations for two-dimensional (2-D) Poiseuille flow. It is found that the relative L2-norm error resulting from FHML's BC is smaller than that from other BCs as a whole. Then, based on the FHML's BC, it formulates an LB model for simulating fluid flows in 2-D channel with complex geometries. Afterwards, the flows between two inclined plates, in a pulmonary blood vessel and in a blood vessel with local expansion region, are simulated. The numerical results are in good agreement with the analytical predictions and clearly show that the model is effective. It is expected that the model can be extended to simulate some real biologic flows, such as blood flows in arteries, vessels with stenosises, aneurysms and bifurcations, etc.
- Published
- 2009