Hybrid lattice Boltzmann––Finite difference formulation for combined heat transfer problems by 3D natural convection and surface thermal radiation

Nee, Alexander

doi:10.1016/j.ijmecsci.2020.105447

Cited by 20 publications

(11 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The finite difference method is employed in this work to determine the temperature field by solving the energy equation. The mathematical form of this equation can be given in cartesian coordinates as [3,10]:…”

Section: Finite Difference Methodsmentioning

confidence: 99%

“…In 3D, FD simulations have existed for several years, however, LB simulations are relatively recent. The combination between them in 3D has started in recent years, in particular, the combination between the IOP Publishing doi:10.1088/1742-6596/2178/1/012017 2 LBM is established on simple relaxation time model (SRT) and FD [3,4]. In this work, a more accurate LBM model than the SRT scheme is combined with the finite difference in order to research on heat transfer in a cubic cavity loaded with air.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Application of Hybrid Method Based On MRT-Lattice Boltzmann and Finite Difference to Study Heat Transfer in Three Dimensions

Benhamou

Lahmer

Jami

et al. 2022

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

The importance of studying the cooling of electronic components, which can be represented by obstacles, by natural or forced convection, has led our research laboratory to study this type of problem in 2D for many years. In this present article, the code is developed to be able to simulate heat transfers in 3D using a hybrid method. This approach is built on two numerical approaches viz the “Lattice Boltzmann method” (LBM) for the study of the fluid flow and the “Finite Difference Method” (FDM) for the calculation of the temperature field. The present numerical code is validated in the case of natural convection in a cubic cavity packed with air. Subsequently, the heat exchange between two cold vertical walls and a heated obstacle placed at center of cavity is studied.

show abstract

Section: Finite Difference Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Application of Hybrid Method Based On MRT-Lattice Boltzmann and Finite Difference to Study Heat Transfer in Three Dimensions

Benhamou

Lahmer

Jami

et al. 2022

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

show abstract

“…In threedimensional (3D), their combination has started in recent years, especially the combination between the FDM and LBM associated with the single relaxation time (SRT) model. [16][17][18][19] This choice is justified by the advantage of the LBM-FDM hybrid approach over the pure FDM numerical method. For example, for the study of the thermal convection problem in a 3D enclosure, Nee [16][17][18] showed that the computational time of the LBM-FDM hybrid method can be more than 20 times faster than the FDM approximation.…”

Section: Introductionmentioning

confidence: 99%

“…[16][17][18][19] This choice is justified by the advantage of the LBM-FDM hybrid approach over the pure FDM numerical method. For example, for the study of the thermal convection problem in a 3D enclosure, Nee [16][17][18] showed that the computational time of the LBM-FDM hybrid method can be more than 20 times faster than the FDM approximation. To increase computational stability and efficiency, in the present work, the LBM is based on the multiple relaxation time model (MRT), and thus a more accurate hybrid method based on LBM and FDM techniques is used to study the process of heat transfer enhancement by acoustic waves.…”

Section: Introductionmentioning

confidence: 99%

“…The numerical coupling between the lattice Boltzmann method (LBM) and FDM is widely applied in 2D to investigate different thermal problems in different geometries. In three‐dimensional (3D), their combination has started in recent years, especially the combination between the FDM and LBM associated with the single relaxation time (SRT) model 16–19 . This choice is justified by the advantage of the LBM–FDM hybrid approach over the pure FDM numerical method.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Three‐dimensional numerical study of heat transfer enhancement by sound waves using mesoscopic and macroscopic approaches

Benhamou¹,

Jami²

2022

Heat Trans

View full text Add to dashboard Cite

In this paper, a three‐dimensional (3D) numerical study of thermal convection and acoustic waves is presented using a hybrid method. This method consists of two computational approaches: the lattice Boltzmann method (LBM) with multiple relaxation times for the study of the fluid behavior and the finite difference method (FDM) for the description of the thermal exchange. The two approaches have been validated by studying two benchmark problems reported in the literature. The LBM was validated by simulating the flow induced by a lid‐driven cavity. The FDM was checked by simulating natural convection in a differentially heated cubic cavity filled with air. After this validation, the main focus was on the study of enhancement of the heat transfer in a 3D cavity using a vibrating acoustic source. The numerical study is performed for different values of the wave amplitude, the Rayleigh number ( italicRa ${Ra}$), and the sound source size. It shows that the heat transfer is significantly improved for a low italicRa ${Ra}$. However, for high italicRa ${Ra}$ values, natural convection cannot be neglected in front of forced convection. The transfer is also influenced by the variation of the source size. This allows obtaining the optimal size corresponding to the maximum heat exchange.

show abstract

Finite volume scheme for the lattice Boltzmann method on curved surfaces in 3D

Yang

Tan

Kim

et al. 2022

Engineering with Computers

View full text Add to dashboard Cite

Hybrid lattice Boltzmann––Finite difference formulation for combined heat transfer problems by 3D natural convection and surface thermal radiation

Cited by 20 publications

References 42 publications

Application of Hybrid Method Based On MRT-Lattice Boltzmann and Finite Difference to Study Heat Transfer in Three Dimensions

Application of Hybrid Method Based On MRT-Lattice Boltzmann and Finite Difference to Study Heat Transfer in Three Dimensions

Three‐dimensional numerical study of heat transfer enhancement by sound waves using mesoscopic and macroscopic approaches

Finite volume scheme for the lattice Boltzmann method on curved surfaces in 3D

Contact Info

Product

Resources

About