Lattice Boltzmann simulation of fluid flows in two-dimensional channel with complex geometries |
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Authors: | Wen Bing-Hai Liu Hai-Yan Zhang Chao-Ying and Wang Qiang |
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Institution: | College of Computer Science and Information Engineering,
Guangxi
Normal University, Guilin 541004, China |
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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. |
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Keywords: | lattice Boltzmann method complex boundary fluid flow numerical simulation |
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