Abstract
In the present paper, we verify the effectiveness of the two-relaxation-time (TRT) collision operator in reducing boundary slip of temperature computed by the immersed boundary-thermal lattice Boltzmann method (IB-TLBM). In the linear collision operator of the TRT, we decompose the distribution function into symmetric and antisymmetric components and define the relaxation parameters for each part. The Chapman-Enskog expansion indicates that one relaxation time for the antisymmetric component is related to the thermal conductivity. We derive the theoretical relation between a temperature slip at the boundary and reveal that the relaxation time for the symmetric part controls the temperature at the boundary and boundary slip of temperature computed by the IB-TLBM. We apply the IB-TLBM based on the implicit correction method with two relaxation times for the natural convection in a square enclosure containing a circular cylinder. The streamline, isotherms, and average Nusselt number calculated by the proposed method agree well with those of previous numerical studies.
| Original language | English |
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| State | Published - 2015 |
| Event | 23rd International Conference on Nuclear Engineering: Nuclear Power - Reliable Global Energy, ICONE 2015 - Chiba, Japan Duration: 2015/05/17 → 2015/05/21 |
Conference
| Conference | 23rd International Conference on Nuclear Engineering: Nuclear Power - Reliable Global Energy, ICONE 2015 |
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| Country/Territory | Japan |
| City | Chiba |
| Period | 2015/05/17 → 2015/05/21 |
Keywords
- Immersed boundary method
- Implicit correction method
- Thermal lattice boltzmann method
- Two relaxation time collision operator
ASJC Scopus subject areas
- Nuclear Energy and Engineering