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https://hdl.handle.net/20.500.14094/90004648
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2024-04-19
02:02 集計
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90004648 (fulltext)
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メタデータID
90004648
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open access
出版タイプ
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タイトル
Analytical and numerical studies of the boundary slip in the immersed boundary-thermal lattice Boltzmann method
著者
Seta, Takashi ; Hayashi, Kosuke ; Tomiyama, Akio
著者名
Seta, Takashi
著者ID
A0964
研究者ID
1000060455152
KUID
https://kuid-rm-web.ofc.kobe-u.ac.jp/search/detail?systemId=e78459b908f278db520e17560c007669
著者名
Hayashi, Kosuke
林, 公祐
ハヤシ, コウスケ
所属機関名
工学研究科
著者ID
A0901
研究者ID
1000030211402
KUID
https://kuid-rm-web.ofc.kobe-u.ac.jp/search/detail?systemId=f03eb022a30248d0520e17560c007669
著者名
Tomiyama, Akio
冨山, 明男
トミヤマ, アキオ
所属機関名
工学研究科
収録物名
International Journal for Numerical Methods in Fluids
巻(号)
86(7)
ページ
454-490
出版者
Wiley
刊行日
2018-03-10
公開日
2018-02-28
抄録
We analytically and numerically investigate the boundary slip, including the velocity slip and the temperature jump, in immersed boundary-thermal lattice Boltzmann methods (IB-TLBMs) with the two-relaxation-time collision operator. We derive the theoretical equation for the relaxation parameters considering the effect of the advection velocity on the temperature jump of the IB-TLBMs. The analytical and numerical solutions demonstrate that the proposed iterative correction methods without the computational cost of the sparse matrix solver reduce the boundary slip and boundary-value deviation as effectively as the implicit correction method for any relaxation time. Because the commonly used multi-direct forcing method does not consider the contributions of the body force to the momentum flux, it cannot completely eliminate the boundary slip because of the numerical instability for a long relaxation time. Both types of proposed iterative correction methods are more numerically stable than the implicit correction method. In simulations of flow past a circular cylinder and of natural convection, the present iterative correction methods yield adequate results without the errors of the velocity slip, the temperature jump, and the boundary-value deviation for any relaxation time parameters and for any number of Lagrangian points per length. The combination of the present methods and the two-relaxation-time collision operator is suitable for simulating fluid flow with thermal convection in the multiblock method in which the relaxation time increases in inverse proportion to the grid size.
キーワード
double-population approach
immersed boundary method
lattice Boltzmann method
multiblock approach
temperature jump
velocity slip
カテゴリ
工学研究科
学術雑誌論文
権利
© 2017 The Authors International Journal for Numerical Methods in Fluids Published by John Wiley & Sons Ltd.
This is an open access article under the terms of the Creative Commons Attribution-NonCommercial License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited and is not used for commercial purposes.
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資源タイプ
journal article
言語
English (英語)
ISSN
0271-2091
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eISSN
1097-0363
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関連情報
DOI
https://doi.org/10.1002/fld.4462
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