Evaluation of Two Lattice Boltzmann Models for Multiphase Flows

Hou, Shuling; Shan, Xiaowen; Zou, Qisu; Doolen, Gary D.; Soll, W.E.

doi:10.1006/jcph.1997.5839

Cited by 123 publications

(62 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…There appears to exist a need for such a comparison, as the existing literature in this¯eld is quite scarce. Thē rst of these comparisons by Hou et al, 37 in 1997, compared the original PPM and CGM on the simple Laplace law test and concluded that PPM was a major improvement over the CGM. This conclusion can, however, not be applied to modern versions of the PPM and CGM, which contain substantial improvements over their early predecessors.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional lattice Boltzmann method benchmarks between color-gradient and pseudo-potential immiscible multi-component models

Leclaire

Parmigiani

Chopard

et al. 2017

Int. J. Mod. Phys. C

View full text Add to dashboard Cite

In this paper, a lattice Boltzmann color-gradient method is compared with a multi-component pseudo-potential lattice Boltzmann model for two test problems: a droplet deformation in a shear°ow and a rising bubble subject to buoyancy forces. With the help of these two problems, the behavior of the two models is compared in situations of competing viscous, capillary and gravity forces. It is found that both models are able to generate relevant scienti¯c results. However, while the color-gradient model is more complex than the pseudo-potential approach, numerical experiments show that it is also more powerful and su®ers fewer limitations.

show abstract

Section: Introductionmentioning

confidence: 99%

Three-dimensional lattice Boltzmann method benchmarks between color-gradient and pseudo-potential immiscible multi-component models

Leclaire

Parmigiani

Chopard

et al. 2017

Int. J. Mod. Phys. C

View full text Add to dashboard Cite

show abstract

“…The Shan-Chen model is known to possess superior isotropic qualities, and adherence to Laplace's law [26]. Weakening the surface tension in the Shan-Chen method does entail weakening of the phase separation as well, which produces a diffusive interface as observed in figure 2 (top left).…”

Section: Resultsmentioning

confidence: 99%

Simulation of multiphase flows with variable surface tension using the Lattice Boltzmann method

Stensholt

2010

WIT Transactions on Engineering Sciences

View full text Add to dashboard Cite

Methods for implementing variable surface tension on two popular LatticeBoltzmann models, the original gradient-based chromodynamic model, and the Shan-Chen model, are explored and examined. The experiment, inspired by the work of Greenspan, consists of reducing the surface tension at two poles of a circular droplet due to a diffusive solute (surfactant). Both Lattice Boltzmann models are able to simulate the expected initial deformation where the droplet is stretched along the pole axis, and contracts at the equator. We observed no furrowing to the droplet, which verifies the work of He and Dembo who concluded that variation in surface tension cannot alone account for such furrowing. We were able to simulate the process as the surfactant diffuses over the entire interface and the spatial variation in surface tension vanishes. The droplet reverts back to its original circular shape with the overall surface tension reduced. Variable surface tension is easier to implement with the chromodynamic model. The physically direct Shan-Chen model, which has superior isotropic qualities, can also be used for variable surface tension. However, coordinating the decline of the surface tension with the reduction in the separation forces is a more delicate matter, and the diffusivity of the interface increases if the surface tension is weakened.

show abstract

“…Compared with other existing numerical techniques, the advantages of LBM include easy handling of complex geometries and boundary conditions (Chang et al, 2009) and efficient implementation for parallel computation (Yasuda et al, 2011). Thus, several studies have been carried out in recent years to validate the approach for many heat transfer (Mishra and Roy, 2007) and reactive flow cases (Hou et al, 1997). However, more studies are still needed to improve the stability of the mass, momentum and energy-conserving LB models.…”

Section: Numerical Techniquementioning

confidence: 99%

“…However, this model is restricted to Pr=1. To avoid this restriction, some authors for example, (Hou et al, 1997) and (Ginzburg et al, 2008) used thermal lattice Boltzmann with two relaxation times that contained also an error in the energy equation due to the fact that dissipation and transport of energy by viscous forces was multiplied by thermal conductivity rather than by the viscosity. To remove these defects, Mai et al (2010) proposed a thermal BGK lattice Boltzmann model for flows with viscous heat dissipation.…”

Section: Numerical Techniquementioning

confidence: 99%

See 1 more Smart Citation

Mixed convection heat transfer of nanofluid over microscale vertical duct preceded with a double-step expansion using Lattice Boltzmann Method

Hamdi

Elalimi

Nasrallah

2016

JTST

View full text Add to dashboard Cite

Evaluation of Two Lattice Boltzmann Models for Multiphase Flows

Cited by 123 publications

References 17 publications

Three-dimensional lattice Boltzmann method benchmarks between color-gradient and pseudo-potential immiscible multi-component models

Three-dimensional lattice Boltzmann method benchmarks between color-gradient and pseudo-potential immiscible multi-component models

Simulation of multiphase flows with variable surface tension using the Lattice Boltzmann method

Mixed convection heat transfer of nanofluid over microscale vertical duct preceded with a double-step expansion using Lattice Boltzmann Method

Contact Info

Product

Resources

About