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Volume 5, Issue 3
Natural Convection in a Concentric Annulus: A Lattice Boltzmann Method Study with Boundary Condition-Enforced Immersed Boundary Method

Yang Hu, Xiao-Dong Niu, Shi Shu, Haizhuan Yuan & Mingjun Li

DOI: 10.4208/aamm.12-m12116

Adv. Appl. Math. Mech., 5 (2013), pp. 321-336.

Published online: 2013-05

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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

Lattice Boltzmann method, boundary condition-enforced immersed boundary method, natural convection.

  • AMS Subject Headings

76R10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-5-321, author = {Hu , YangNiu , Xiao-DongShu , ShiYuan , Haizhuan and Li , Mingjun}, title = {Natural Convection in a Concentric Annulus: A Lattice Boltzmann Method Study with Boundary Condition-Enforced Immersed Boundary Method}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2013}, volume = {5}, number = {3}, pages = {321--336}, 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.12-m12116}, url = {http://global-sci.org/intro/article_detail/aamm/72.html} }
TY - JOUR T1 - Natural Convection in a Concentric Annulus: A Lattice Boltzmann Method Study with Boundary Condition-Enforced Immersed Boundary Method AU - Hu , Yang AU - Niu , Xiao-Dong AU - Shu , Shi AU - Yuan , Haizhuan AU - Li , Mingjun JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 321 EP - 336 PY - 2013 DA - 2013/05 SN - 5 DO - http://doi.org/10.4208/aamm.12-m12116 UR - https://global-sci.org/intro/article_detail/aamm/72.html KW - Lattice Boltzmann method, boundary condition-enforced immersed boundary method, natural convection. AB -

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.

Hu , YangNiu , Xiao-DongShu , ShiYuan , Haizhuan and Li , Mingjun. (2013). Natural Convection in a Concentric Annulus: A Lattice Boltzmann Method Study with Boundary Condition-Enforced Immersed Boundary Method. Advances in Applied Mathematics and Mechanics. 5 (3). 321-336. doi:10.4208/aamm.12-m12116
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