In this work, the coupled lattice Boltzmann and direct collocation meshless (LB–DCM) method is introduced to solve the natural convection in the presence of volumetric radiation in irregular geometries. LB–DCM is a hybrid approach based on a common multiscale Boltzmann-type model. Separate particle distribution functions with multirelaxation time (MRT) and lattice Bhatnagar–Gross–Krook (LBGK) models are used to calculate the flow field and the thermal field, respectively. The radiation transfer equation is computed using the meshless method with moving least-squares (MLS) approximation. The LB–DCM code is first validated by the case of coupled convection–radiation flows in a square cavity. Comparisons show that this combined method is accurate and efficient. Then, the coupled convective and radiative heat transfer in two complex geometries are simulated at various parameters, such as eccentricity, Rayleigh number, and convection–radiation parameter. Numerical results show that the LB–DCM combination is a potential technique for the multifield coupling models, especially with the curved boundary.

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# Coupled Lattice Boltzmann and Meshless Simulation of Natural Convection in the Presence of Volumetric Radiation

Kang Luo

,
Kang Luo

School of Energy Science and Engineering,

Harbin Institute of Technology,

Harbin 150001, China

Harbin Institute of Technology,

Harbin 150001, China

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Qing Ai

,
Qing Ai

School of Energy Science and Engineering,

Harbin Institute of Technology,

Harbin 150001, China

Harbin Institute of Technology,

Harbin 150001, China

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Hong-Liang Yi

,
Hong-Liang Yi

School of Energy Science and Engineering,

Harbin Institute of Technology,

Harbin 150001, China

e-mail: yihongliang@hit.edu.cn

Harbin Institute of Technology,

Harbin 150001, China

e-mail: yihongliang@hit.edu.cn

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He-Ping Tan

He-Ping Tan

School of Energy Science and Engineering,

Harbin Institute of Technology,

Harbin 150001, China

e-mail: tanheping@hit.edu.cn

Harbin Institute of Technology,

Harbin 150001, China

e-mail: tanheping@hit.edu.cn

Search for other works by this author on:

Kang Luo

School of Energy Science and Engineering,

Harbin Institute of Technology,

Harbin 150001, China

Harbin Institute of Technology,

Harbin 150001, China

Qing Ai

School of Energy Science and Engineering,

Harbin Institute of Technology,

Harbin 150001, China

Harbin Institute of Technology,

Harbin 150001, China

Hong-Liang Yi

Harbin Institute of Technology,

Harbin 150001, China

e-mail: yihongliang@hit.edu.cn

He-Ping Tan

Harbin Institute of Technology,

Harbin 150001, China

e-mail: tanheping@hit.edu.cn

1

Corresponding authors.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received September 6, 2014; final manuscript received May 7, 2015; published online July 21, 2015. Assoc. Editor: Zhuomin Zhang.

*J. Heat Transfer*. Nov 2015, 137(11): 111504 (12 pages)

**Published Online:**July 21, 2015

Article history

Received:

September 6, 2014

Revision Received:

May 7, 2015

Citation

Luo, K., Ai, Q., Yi, H., and Tan, H. (July 21, 2015). "Coupled Lattice Boltzmann and Meshless Simulation of Natural Convection in the Presence of Volumetric Radiation." ASME. *J. Heat Transfer*. November 2015; 137(11): 111504. https://doi.org/10.1115/1.4030904

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