Thermal lattice Bhatnagar-Gross-Krook model without nonlinear deviations in macrodynamic equations

Chen, Y; Ohashi, Hirotada; Akiyama, Mamoru

doi:10.1103/physreve.50.2776

Cited by 242 publications

(156 citation statements)

References 8 publications

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“…2,2006 modynamics of ideal gas (11), (12) have been independently proposed and successfully applied to several simulations. Although it was difficult to combine energy conservation with a twophase flow system, we presented a LB model for thermodynamics of two-phase flows (7) - (9) .…”

Section: Journal Of Thermal Science and Technologymentioning

confidence: 99%

The Single Component Thermal Lattice Boltzmann Simulation of Pool Boiling in Two Dimensions

Seta

Okui

2006

JTST

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In this paper, we propose a lattice Boltzmann model for simulation of two-phase flows pertinent to thermal nonideal fluids in two dimensions. This LBM has a modified pseudo-potential so that it recovers a full set of hydrodynamic equations for two-phase flows through the Chapman-Enskog expansion procedure. Numerical measurements of thermal conductivity and of surface tension agree well with theoretical predictions. Simulations of bubble rising and of pool boiling with heat transfer are carried out. They demonstrate that the model is applicable to two-phase flows with thermal effects. Using finite difference Lattice Boltzmann method ensures numerical stability of the scheme.

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Section: Journal Of Thermal Science and Technologymentioning

confidence: 99%

The Single Component Thermal Lattice Boltzmann Simulation of Pool Boiling in Two Dimensions

Seta

Okui

2006

JTST

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“…Besides for hydrodynamics, efforts have also been made to apply LBM to solving various fluid transport problems coupled with electrokinetics, magnetic, thermodynamics or even chemical reactions [10][11][12][13][14][15][16][17]. Attempts have been made in using LBM to study the interfacial heat transfer process, and a few models have been developed in the lattice Boltzmann method for simulation of the thermo-hydrodynamics since 1993 [18][19][20][21][22][23][24][25]. More specifically, a single distribution function model was introduced into the lattice Boltzmann method to simulate the RayleighBénard convection.…”

Section: Introductionmentioning

confidence: 99%

“…More specifically, a single distribution function model was introduced into the lattice Boltzmann method to simulate the RayleighBénard convection. It was however admitted that with severe numerical instability, the applicable temperature range is limited to a narrow scope [18][19][20]. To overcome the drawback, a double distribution function model was developed [21][22][23], in which a density distribution function is introduced to simulate the hydrodynamics (fluid flow), while an internal energy distribution function to tackle the thermodynamics (heat transfer).…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann Modeling of Thermal Conduction in Composites with Thermal Contact Resistance

Xie

Wang

et al. 2015

Commun. Comput. Phys.

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Abstract. The effective thermal conductivity of composite materials with thermal contact resistance at interfaces is studied by lattice Boltzmann modeling in this work. We modified the non-dimensional partial bounce-back scheme, proposed by Han et al. [Int. J. Thermal Sci., 2008. 47: 1276-1283, to introduce a real thermal contact resistance at interfaces into the thermal lattice Boltzmann framework by re-deriving the redistribution function of heat at the phase interfaces for a corrected dimensional formulation. The modified scheme was validated in several cases with good agreement between the simulation results and the corresponding theoretical solutions. Furthermore, we predicted the effective thermal conductivities of composite materials using this method where the contact thermal resistance was not negligible, and revealed the effects of particle volume fraction, thermal contact resistance and particle size. The results in this study may provide a useful support for materials design and structure optimization. 65.80.-g PACS:

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“…This method is different from ordinary Navier-Stokes equations based CFD methods, and is based on the particle motions. However, mostly successful model so far is for incompressible fluids, but several models for thermal compressible models have been proposed including our model [7][8][9][10][11][12][13]. On the other hand, this method has great advantage to simulate multi-phase flows, because the interface is automatically determined in this method without special treatment [14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Direct simulations of fluid dynamic sounds by the finite difference lattice Boltzmann method

Tsutahara¹,

Tamura²,

Tajiri³

et al. 2007

WIT Transactions on Modelling and Simulation, Vol 46

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In this paper we present some applications of the finite difference lattice Boltzmann method (FDLBM) to direct simulations of fluid dynamic sound. The Arbitrary Lagrangian Eulerian formulation is introduced to FDLBM and the sounds emitted from moving bodies are successfully simulated. The two-particle model is used to simulate two-phase flows, and introducing a fluid elasticity the sound propagation inside the liquid is simulated. The sounds generated on the interface between the liquid and gas are also successfully simulated.

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Thermal lattice Bhatnagar-Gross-Krook model without nonlinear deviations in macrodynamic equations

Cited by 242 publications

References 8 publications

The Single Component Thermal Lattice Boltzmann Simulation of Pool Boiling in Two Dimensions

The Single Component Thermal Lattice Boltzmann Simulation of Pool Boiling in Two Dimensions

Lattice Boltzmann Modeling of Thermal Conduction in Composites with Thermal Contact Resistance

Direct simulations of fluid dynamic sounds by the finite difference lattice Boltzmann method

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