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Natural Convection in a Concentric Annulus: A Lattice Boltzmann Method Study with Boundary Condition-Enforced Immersed Boundary Method

Published online by Cambridge University Press:  03 June 2015

Yang Hu ,
Xiao-Dong Niu ,
Shi Shu ,
Haizhuan Yuan  and
Mingjun Li
Yang Hu
Affiliation:
School of Mathematics and Computational Science, Xiangtan University, Hunan, China
Xiao-Dong Niu
Affiliation:
School of Mathematics and Computational Science, Xiangtan University, Hunan, China Energy Conversion Research Center, Doshisha University, Kyoto, Japan
Shi Shu*
Affiliation:
School of Mathematics and Computational Science, Xiangtan University, Hunan, China
Haizhuan Yuan
Affiliation:
School of Mathematics and Computational Science, Xiangtan University, Hunan, China
Mingjun Li
Affiliation:
School of Mathematics and Computational Science, Xiangtan University, Hunan, China
*
Corresponding author.Email: shushi@xtu.edu.cn
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Abstract

In this paper, a boundary condition-enforced IBM is introduced into the LBM in order to satisfy the non-slip and temperature boundary conditions, and natural convections in a concentric isothermal annulus between a square outer cylinder and a circular inner cylinder are simulated. The obtained results show that the boundary condition-enforced method gives a better solution for the flow field and the complicated physics of the natural convections in the selected case is correctly captured. The calculated average Nusselt numbers agree well with the previous studies.

Keywords

76R10Lattice Boltzmann methodboundary condition-enforced immersed boundary methodnatural convection
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 5 , Issue 3 , June 2013 , pp. 321 - 336
Copyright
Copyright © Global-Science Press 2013

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