Thermal boundary conditions for thermal lattice Boltzmann simulations

Liu, Chih-Hao; Lin, King‐Fu; Mai, Hao-Chueh; Lin, Chen-Yi

doi:10.1016/j.camwa.2009.08.043

Cited by 110 publications

(49 citation statements)

References 22 publications

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“…Assuming a simplification of the collision term in the above equation, wherein the velocity distribution functions relax towards their respective equilibria (given by a suitable discretization of the Boltzmann distribution) at a single characteristic rate τ ν , we arrive at the governing equation for the LBM [3,7,10,16,33]:…”

Section: Single-phase Fluidmentioning

confidence: 99%

“…What emerged were two main methods for simulating the internal energy density of a modeled fluid. Given the intrinsic connection between local temperature and particle velocities, one can derive the temperature from the appropriate moment of the velocity distribution function [14,16,40]:…”

Section: Thermohydrodynamicsmentioning

confidence: 99%

“…As with the single-phase system, this model has been validated over many years by repeated analyses and comparisons with analytical and experimental results [14,16,18,44,45]. It has been successfully applied to a variety of thermal flow problems including natural convection [14,18,44,[46][47][48][49][50], turbulent convection [51][52][53][54], thermal channel flows [14,40,55,56] and more complex systems involving multiple phases and phase change [57][58][59][60][61][62][63][64][65].…”

Section: Thermohydrodynamicsmentioning

confidence: 99%

“…Given its kinetic nature, the LBM can also be expanded to include the advection and diffusion of internal energy [12][13][14][15][16][17][18], alongside the advection and diffusion of momentum. Heat is included as a passively advected scalar quantity, with an extra set of distribution functions.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A Non-Isothermal Chemical Lattice Boltzmann Model Incorporating Thermal Reaction Kinetics and Enthalpy Changes

Bartlett

2017

Computation

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Abstract:The lattice Boltzmann method is an efficient computational fluid dynamics technique that can accurately model a broad range of complex systems. As well as single-phase fluids, it can simulate thermohydrodynamic systems and passive scalar advection. In recent years, it also gained attention as a means of simulating chemical phenomena, as interest in self-organization processes increased. This paper will present a widely-used and versatile lattice Boltzmann model that can simultaneously incorporate fluid dynamics, heat transfer, buoyancy-driven convection, passive scalar advection, chemical reactions and enthalpy changes. All of these effects interact in a physically accurate framework that is simple to code and readily parallelizable. As well as a complete description of the model equations, several example systems will be presented in order to demonstrate the accuracy and versatility of the method. New simulations, which analyzed the effect of a reversible reaction on the transport properties of a convecting fluid, will also be described in detail. This extra chemical degree of freedom was utilized by the system to augment its net heat flux. The numerical method outlined in this paper can be readily deployed for a vast range of complex flow problems, spanning a variety of scientific disciplines.

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Section: Single-phase Fluidmentioning

confidence: 99%

Section: Thermohydrodynamicsmentioning

confidence: 99%

Section: Thermohydrodynamicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Non-Isothermal Chemical Lattice Boltzmann Model Incorporating Thermal Reaction Kinetics and Enthalpy Changes

Bartlett

2017

Computation

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“…∂T ∂y The temperature at boundary DC is calculated by a threepoint finite difference scheme [38], which is expressed by:…”

Section: Initial Conditions and Boundary Conditionsmentioning

confidence: 99%

Macroscopic lattice Boltzmann model for heat and moisture transfer process with phase transformation in unsaturated porous media during freezing process

Song

Zhang

et al. 2017

Open Physics

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In the current study, a macroscopic lattice Boltzmann model for simulating the heat and moisture transport phenomenon in unsaturated porous media during the freezing process was proposed. The proposed model adopted percolation threshold to reproduce the extra resistance in frozen fringe during the freezing process. The freezing process in Kanagawa sandy loam soil was demonstrated by the proposed model. The numerical result showed good agreement with the experimental result. The proposed model also offered higher computational efficiency and better agreement with the experimental result than the existing numerical models. Lattice Boltzmann method is suitable for simulating complex heat and mass transfer process in porous media at macroscopic scale under proper dimensionless criterion, which makes it a potentially powerful tool for engineering application.

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Solidification Model Coupling Lattice Boltzmann Method with Cellular Automation Technique

Yin¹,

Wang²,

Felicelli³

2011

Shape Casting

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Thermal boundary conditions for thermal lattice Boltzmann simulations

Cited by 110 publications

References 22 publications

A Non-Isothermal Chemical Lattice Boltzmann Model Incorporating Thermal Reaction Kinetics and Enthalpy Changes

A Non-Isothermal Chemical Lattice Boltzmann Model Incorporating Thermal Reaction Kinetics and Enthalpy Changes

Macroscopic lattice Boltzmann model for heat and moisture transfer process with phase transformation in unsaturated porous media during freezing process

Solidification Model Coupling Lattice Boltzmann Method with Cellular Automation Technique

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