A simple lattice Boltzmann model for conjugate heat transfer research

Chen, Sheng; Yan, Yuying; Gong, Wei

doi:10.1016/j.ijheatmasstransfer.2016.10.120

Cited by 34 publications

(38 citation statements)

References 18 publications

(88 reference statements)

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“…In the last decade, a number of interface schemes have been proposed. The interpolation-based schemes [9,23,33] taking into account the local interfacial geometry are able to preserve the second-order accuracy in LBM for straight interfaces; while those "modified" geometry-ignored schemes [34][35][36][37][38] have at most first-order accuracy in general, and with the introduction of heat capacity-related discontinuity in those schemes (e.g., Groups 1 and 2), the order of accuracy becomes essentially zeroth order.…”

Section: Discussionmentioning

confidence: 99%

“…Clearly, those additional terms also have the heat capacity-related gradients and thus the discontinuity effect. In [36], the gradient was approximated from…”

Section: Group 2: Enthalpy-based Formulationmentioning

confidence: 99%

“…There is another category of interface schemes that has attracted interest in the LBM community. In those schemes, additional source terms [34], alternative LBE formulations [35,36], or modified equilibrium DFs [37,38], were proposed to handle the conjugate conditions. The main motivation for those schemes is to avoid the consideration of the interface geometry or topology, which can be a challenge in complex systems such as porous media.…”

Section: Introductionmentioning

confidence: 99%

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Interface Treatment for Conjugate Conditions in the Lattice Boltzmann Method for the Convection Diffusion Equation

Korba¹,

Li²

2020

Computational Fluid Dynamics Simulations

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The lattice Boltzmann method (LBM) has emerged as an attractive numerical method for fluid flows and thermal and mass transport. For LBM modeling of transport between different phases or materials of distinct properties, effective treatment for the conjugate conditions at the interface is required. Recognizing the benefit of satisfying the conjugate conditions in each time step without iterative computations using LBM, various interface schemes have been proposed in the last decade. This chapter provides a review of those interface schemes, with a focus on the comparison of numerical accuracy and convergence orders. It is shown that in order to preserve the second-order accuracy in LBM, the local interface geometry must be considered; and the modified geometry-ignored interface schemes result in degraded convergence orders and/or much higher error magnitude. It is also verified that with appropriate interface schemes, interfacial transport with scalar and flux jumps can be effectively modeled.

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Section: Discussionmentioning

confidence: 99%

“…Clearly, those additional terms also have the heat capacity-related gradients and thus the discontinuity effect. In [36], the gradient was approximated from…”

Section: Group 2: Enthalpy-based Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Interface Treatment for Conjugate Conditions in the Lattice Boltzmann Method for the Convection Diffusion Equation

Korba¹,

Li²

2020

Computational Fluid Dynamics Simulations

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“…Obviously, there exists a difference between Eq. (86) and (88) [192,193]. As pointed out by Karani and Huber [192], the key to recover the diffusion term in the internal energy equation (64) exactly is to treat the spatial variation of the heat capacity p c  appropriately.…”

Section: The Thermal Boundary Treatmentsmentioning

confidence: 99%

“…As pointed out by Karani and Huber [192], the key to recover the diffusion term in the internal energy equation (64) exactly is to treat the spatial variation of the heat capacity p c  appropriately. Based on theoretical analyses, several thermal LB models for conjugate heat transfer problems have been developed by Karani and Huber [192], Chen et al [193], Huang and…”

Section: The Thermal Boundary Treatmentsmentioning

confidence: 99%

Lattice Boltzmann methods for single-phase and solid-liquid phase-change heat transfer in porous media: A review

Liu

et al. 2019

International Journal of Heat and Mass Transfer

196

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Since its introduction 30 years ago, the lattice Boltzmann (LB) method has achieved great success in simulating fluid flows and modeling physics in fluids. Owing to its kinetic nature, the LB method has the capability to incorporate the essential microscopic or mesoscopic physics, and it is particularly successful in modeling transport phenomena involving complex boundaries and interfacial dynamics.The LB method can be considered to be an efficient numerical tool for fluid flow and heat transfer in porous media. Moreover, since the LB method is inherently transient, it is especially useful for investigating transient solid-liquid phase-change processes wherein the interfacial behaviors are very important. In this article, a comprehensive review of the LB methods for single-phase and solid-liquid phase-change heat transfer in porous media at both the pore scale and representative elementary volume (REV) scale. The review first introduces the fundamentals of the LB method for fluid flow and heat transfer. Then the REV-scale LB method for fluid flow and single-phase heat transfer in porous media, and the LB method for solid-liquid phase-change heat transfer, are described. Some applications 2 of the LB methods for single-phase and solid-liquid phase-change heat transfer in porous media are provided. In addition, applications of the LB method to predict effective thermal conductivity of porous materials are also provided. Finally, further developments of the LB method in the related areas are discussed. Keyword: Lattice Boltzmann method; Single-phase heat transfer; Solid-liquid phase change; Porous media proposed the RLBE model with an enhanced collision operator, which was shown to be linearly stable. Based on the Bhatnagar-Gross-Krook (BGK) collision operator [104], the LB model using a single relaxation time, referred to as the BGK-LB model, has been independently proposed by Chen et al. [14], Koelman [15], and Qian et al. [16]. In the BGK-LB model, the equilibrium distribution function is chosen to recover the incompressible N-S equations in the incompressible limit. Due to its high efficiency and extreme simplicity, the BGK-LB model has become the most popular LB model, in spite of some well-known deficiencies (e.g., numerical instability, viscosity dependence of boundary 9 locations). Almost at the same time when the BGK-LB method was developed, d'Humières [17] proposed the multiple-relaxation-time (MRT) LB method. The MRT-LB equation (also referred to as generalized lattice Boltzmann equation (GLBE)) is an important extension of the RLBE proposed by Higuera et al. [12,13]. This work is significant because, in addition to it overcomes some deficiencies of the BGK-LB model, it facilitates the extension of the LB method, expanding the applications to a much wider range of phenomena and processes.In 1997, a direct connection between the LB equation and the continuous Boltzmann equation in kinetic theory was rigorously established by He and Luo [19,20]. In particular, it has been demonstrated that the LB equation c...

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Numerical Study of Magneto-hydrodynamic Free Convection Heat Transfer and Fluid Flow

Chaabane

Jemni

Sidik

et al. 2022

Technological Advancement in Mechanical and Automotive Engineering

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A simple lattice Boltzmann model for conjugate heat transfer research

Cited by 34 publications

References 18 publications

Interface Treatment for Conjugate Conditions in the Lattice Boltzmann Method for the Convection Diffusion Equation

Interface Treatment for Conjugate Conditions in the Lattice Boltzmann Method for the Convection Diffusion Equation

Lattice Boltzmann methods for single-phase and solid-liquid phase-change heat transfer in porous media: A review

Numerical Study of Magneto-hydrodynamic Free Convection Heat Transfer and Fluid Flow

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