A Truly Second-Order and Unconditionally Stable Thermal Lattice Boltzmann Method

Жен, Чен; Chen, Shu; Tan, Danielle

doi:10.3390/app7030277

Cited by 20 publications

(5 citation statements)

References 32 publications

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“…Also, a uniform grid with 128 × 128 meshes was used in all simulations. Comparison of isotherms between present study results and that of Chen et al (2017) is shown in Figures 11 to 14.…”

Section: Resultsmentioning

confidence: 65%

“…Comparison of isotherms between the present study (dashed lines) and the study of Chen et al (2017) (solid lines) for Ra = 50,000 (left figure), velocity vectors in the present study (right figure)…”

Section: Figurementioning

confidence: 62%

“…In this section, free convection heat transfer is investigated in a concentric annulus. For this purpose, geometry and boundary conditions used in Chen et al (2017) have been used (Figure 3). In this work, non-dimensional parameters are radius ratio, Ar = Ro/Ri, Prandtl number, Pr and Rayleigh number, Ra=gβ(Ti−To)L3υα.…”

Section: Resultsmentioning

confidence: 99%

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An evaluation of force term in the lattice Boltzmann method for mixed convection with large Richardson numbers

Naghavi

Sheikhzadeh

2021

HFF

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Purpose The purpose of this study is the identification of the best method to apply the body force in the lattice Boltzmann method (LBM). In the simulation of mixed convection, especially for large Richardson number flows in a square cavity. Design/methodology/approach First, three methods for applying the body force were compared to each other in the LBM. Then, an LBM-based code was written in the FORTRAN language using these three methods. Next, that code was used to simulate natural/mixed convection in a two-dimensional cavity to evaluate the methods for applying the body force. Finally, the optimum way for applying the body force was used for the simulation of free convection heat transfer in a concentric annulus with Rayleigh number in a range of 1,000 to 50,000, and mixed convection heat transfer in a concentric annulus with Rayleigh number in a range of 10,000 to 50,000 and Reynolds number in a range of 100 to 400. Findings Mixed convection heat transfer was simulated in a two-dimensional cavity with Richardson number in a range of 0.0001 to 100. The results which were obtained in low Richardson number flows have shown good adaptation to the available data. However, the results of large Richardson number flows, for example, Ri = 100, have shown a significant difference to the available data. Investigations revealed that this difference was due to the method of applying the body force. Therefore, the choice of the best way to apply the body force was investigated. Finally, for the large Richardson number flows, the best method to apply the body force has been identified among the several techniques. Originality/value To the authors’ knowledge, the effects of methods for applying the body force were not investigated in the cavities mixed convection, even though there are numerous investigations conducted on mixed convection with the LBM. In this study, the effects of techniques to apply the body force were investigated in large Richardson number flows. Finally, the best method to apply the body force is distinguished between several techniques for the large Richardson number mixed convection flows.

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“…Also, a uniform grid with 128 × 128 meshes was used in all simulations. Comparison of isotherms between present study results and that of Chen et al (2017) is shown in Figures 11 to 14.…”

Section: Resultsmentioning

confidence: 65%

Section: Figurementioning

confidence: 62%

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An evaluation of force term in the lattice Boltzmann method for mixed convection with large Richardson numbers

Naghavi

Sheikhzadeh

2021

HFF

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“…This feature ensures efficiency in computing and simplicity in programming and has led the LBM to be a popular method in recent decades (Guo et al 2002;Mehravaran and Hannani 2008;Huang et al 2009b;Lee and Liu 2010;Zhou et al 2012;Galindo-Torres et al 2013;Lin et al 2013;Galindo-Torres 2013;Galindo-Torres et al 2016;de Rosis 2017;Yang et al 2018Yang et al , 2019Chen et al 2020;Verdier et al 2020;Ru et al 2021;Wang et al 2021;Zhang et al 2021). Chen et al developed an improved version of the simplified LBM (SLBM) (Chen et al 2017(Chen et al , 2018Chen and Shu 2020a, b).…”

Section: Article Highlightsmentioning

confidence: 99%

Numerical Investigation on the Deformation of the Free Interface During Water Entry and Exit of a Circular Cylinder by Using the Immersed Boundary-Multiphase Lattice Boltzmann Flux Solver

Zhang

Yan

Song

et al. 2022

J. Marine. Sci. Appl.

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In this work, the deformation of free interface during water entry and exit of a circular cylinder is investigated numerically by using the two-dimensional (2D) immersed boundary-multiphase lattice Boltzmann flux solver (IB-MLBFS). The fluid domain is discretized by finite volume discretization, and the flux on the grid interface is evaluated by lattice Boltzmann equations. Both the implicit velocity correction and the surface flux correction are implemented by using the immersed boundary-method to consider the fluid-structure interaction and the contact interface between the multiphase fluids and the structure. First, the water entry of a circular cylinder is simulated and the results are compared with the experiment, which considered the length-diameter ratio of the circular cylinder. The reliability of 2D simulation is verified and the deformation of the free interface is well investigated. Afterward, the water exit of a circular cylinder with constant velocity is simulated, which is less researched. In addition, the results show the advantage of present IB-MLBFS to some extent. Finally, the water exit and re-entry of a circular cylinder are presented, and the results present the complex deformation of the free interface and the dynamic response of the moving structure. Based on the numerical results, the free interface of the multiphase fluids is well captured, and the contact interface on the boundary of the moving structure is accurately presented by the IB-MLBFS.

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“…Recently, Chen et al [24][25][26][27] proposed a simplified thermal LBM (STLBM), [24][25][26][27] which only involves macroscopic variables. Therefore, STLBM needs less memory size, and the boundary conditions are easy to implement.…”

Section: Introductionmentioning

confidence: 99%

Analysis and reconstruction of the thermal lattice Boltzmann flux solver

Dai

2022

Numerical Methods in Fluids

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The thermal lattice Boltzmann flux solver (TLBFS) has been proposed as an alternative method to overcome the drawbacks of thermal lattice Boltzmann models. However, as a weakly compressible model, its mechanism of the good numerical stability for high Rayleigh number thermal flows is still unclear. To reveal the mechanism, the present article first derives the macroscopic equations of TLBFS (MEs-TLBFS) with actual numerical dissipation terms by approximating its computational process. By solving MEs-TLBFS with the finite volume method, the reconstructed TLBFS (RTLBFS) is proposed. Detailed analyzes prove that these actual numerical dissipation terms are the mechanism of the good numerical stability of TLBFS for high Rayleigh number thermal flows.More detailed numerical tests indicate RTLBFS has similar performances as TLBFS for stability, accuracy, and efficiency, which further validates the mechanism of the good numerical stability of TLBFS for high Rayleigh number thermal flows.

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A Truly Second-Order and Unconditionally Stable Thermal Lattice Boltzmann Method

Cited by 20 publications

References 32 publications

An evaluation of force term in the lattice Boltzmann method for mixed convection with large Richardson numbers

An evaluation of force term in the lattice Boltzmann method for mixed convection with large Richardson numbers

Numerical Investigation on the Deformation of the Free Interface During Water Entry and Exit of a Circular Cylinder by Using the Immersed Boundary-Multiphase Lattice Boltzmann Flux Solver

Analysis and reconstruction of the thermal lattice Boltzmann flux solver

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