An immersed boundary–simplified lattice Boltzmann method (IB-STLBM) is proposed in this paper for the simulation of incompressible thermal flows with immersed objects. The fractional step technique is adopted to resolve the problem in two successive steps. In the predictor step, the simplified thermal lattice Boltzmann method (STLBM) is utilized to resolve the intermediate flow variables without considering the immersed objects. The STLBM is advantageous over the conventional thermal lattice Boltzmann method (TLBM) in memory cost, boundary treatment, and numerical stability. In the corrector step, the boundary condition-enforced immersed boundary method (IBM) is used to give correction values of velocity and temperature for accurate interpretation of the Dirichlet boundary conditions on the surface of the immersed objects. Based on the present IBM, some novel strategies can be applied in the evaluation of hydrodynamic forces or thermal parameters of the immersed objects. Five numerical examples are presented for comprehensive validation of the accuracy and robustness of IB-STLBM in various two- and three-dimensional thermal flow problems.
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Immersed boundary–simplified thermal lattice Boltzmann method for incompressible thermal flows
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January 2020
Research Article|
January 21 2020
Immersed boundary–simplified thermal lattice Boltzmann method for incompressible thermal flows
Z. Chen (陈臻)
;
Z. Chen (陈臻)
a)
1
Temasek Laboratories, National University of Singapore
, 5A Engineering Drive 1, Singapore 117411, Singapore
2
Department of Mechanical Engineering, National University of Singapore
, 10 Kent Ridge Crescent, Singapore 119260, Singapore
a)Author to whom correspondence should be addressed: mpeshuc@nus.edu.sg
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C. Shu (舒昌)
;
C. Shu (舒昌)
a)
2
Department of Mechanical Engineering, National University of Singapore
, 10 Kent Ridge Crescent, Singapore 119260, Singapore
a)Author to whom correspondence should be addressed: mpeshuc@nus.edu.sg
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L. M. Yang (杨鲤铭);
L. M. Yang (杨鲤铭)
2
Department of Mechanical Engineering, National University of Singapore
, 10 Kent Ridge Crescent, Singapore 119260, Singapore
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X. Zhao (赵翔);
X. Zhao (赵翔)
1
Temasek Laboratories, National University of Singapore
, 5A Engineering Drive 1, Singapore 117411, Singapore
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N. Y. Liu (刘宁宇)
N. Y. Liu (刘宁宇)
1
Temasek Laboratories, National University of Singapore
, 5A Engineering Drive 1, Singapore 117411, Singapore
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a)Author to whom correspondence should be addressed: mpeshuc@nus.edu.sg
Note: This paper is part of the Special Topic, Papers Selected from the 8th International Symposium on Physics of Fluids.
Physics of Fluids 32, 013605 (2020)
Article history
Received:
November 15 2019
Accepted:
January 05 2020
Citation
Z. Chen, C. Shu, L. M. Yang, X. Zhao, N. Y. Liu; Immersed boundary–simplified thermal lattice Boltzmann method for incompressible thermal flows. Physics of Fluids 1 January 2020; 32 (1): 013605. https://doi.org/10.1063/1.5138711
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