A hydrodynamically correct thermal lattice Boltzmann model

McNamara, Guy R.; Garcia, Alejandro L.; Alder, B. J.

doi:10.1007/bf02181274

Cited by 62 publications

(30 citation statements)

References 16 publications

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“…Hence, substituting Equation (18) and the known distribution functions g i for c i · n ≤ 0 into Equation (20), the unknown parameter ρ σ is specified as follows:…”

Section: On the Bodymentioning

confidence: 99%

“…On the other hand, the LBM has also been applied to problems of viscous flows with heat and mass transfer [18][19][20][21][22]. Recently, Inamuro et al [23] have proposed an LBM for a binary miscible fluid mixture with a simpler equilibrium distribution function for the concentration than that of [21,22], and have demonstrated the validity and the accuracy of the method theoretically and numerically.…”

Section: Introductionmentioning

confidence: 99%

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Lattice Boltzmann simulations for flow and heat/mass transfer problems in a three‐dimensional porous structure

Yoshino

Inamuro

2003

Numerical Methods in Fluids

103

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SUMMARYThe lattice Boltzmann method (LBM) for a binary miscible fluid mixture is applied to problems of transport phenomena in a three-dimensional porous structure. Boundary conditions for the particle distribution function of a diffusing component are described in detail. Flow characteristics and concentration profiles of diffusing species at a pore scale in the structure are obtained at various Reynolds numbers. At high Reynolds numbers, the concentration profiles are highly affected by the flow convection and become completely different from those at low Reynolds numbers. The Sherwood numbers are calculated and compared in good agreement with available experimental data. The results indicate that the present method is useful for the investigation of transport phenomena in porous structures.

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“…Hence, substituting Equation (18) and the known distribution functions g i for c i · n ≤ 0 into Equation (20), the unknown parameter ρ σ is specified as follows:…”

Section: On the Bodymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann simulations for flow and heat/mass transfer problems in a three‐dimensional porous structure

Yoshino

Inamuro

2003

Numerical Methods in Fluids

103

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“…On the other hand, methods that stabilize thermal LB by modifying the collision operator are referred to as modified equation methods. An example of a modified equation method is increasing the number of discrete velocities beyond the requirement for correct hydrodynamics, which increases the computational expenses [6,[19][20][21][22][23][24]. Thermal LB has also been stabilized by reducing the velocity set below this requirement [14,25].…”

Section: Introductionmentioning

confidence: 99%

Stabilizing the thermal lattice Boltzmann method by spatial filtering

Gillissen

2016

Phys. Rev. E

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We propose to stabilize the thermal lattice Boltzmann method by filtering the second-and third-order moments of the collision operator. By means of the Chapman-Enskog expansion, we show that the additional numerical diffusivity diminishes in the low-wavnumber limit. To demonstrate the enhanced stability, we consider a threedimensional thermal lattice Boltzmann system involving 33 discrete velocities. Filtering extends the linear stability of this thermal lattice Boltzmann method to 10-fold smaller transport coefficients. We further demonstrate that the filtering does not compromise the accuracy of the hydrodynamics by comparing simulation results to reference solutions for a number of standardized test cases, including natural convection in two dimensions.

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“…In general, however, the simulation of thermal fluid systems by LBM has not achieved the same success as that of isothermal flows. For example, McNamara et al [11] developed a three-dimensional multispeed thermal LBM.…”

Section: Introductionmentioning

confidence: 99%

“…Most previous thermal LBM models [11][12][13][14] are based on such a multispeed approach in which additional particle speeds are needed to obtain the energy equation at the macroscopic level.…”

Section: Introductionmentioning

confidence: 99%