An improved lattice Boltzmann method for incompressible two-phase flows with large density differences

Inamuro, Takaji; Yokoyama, T.; Tanaka, Kentaro; Taniguchi, Motoki

doi:10.1016/j.compfluid.2016.07.016

Cited by 46 publications

(14 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The LKS, initially developed as a way to reduce memory consumption in LBM 67 , is a modified version of the SRT collision operator which allows for an additional relaxation coefficient (called second relaxation coefficient throughout this manuscript) for higher-order kinetic moments. This approach has mostly been applied to cases involving large variations in the diffusion coefficient (viscosity for flow solvers), such as non-Newtonian flows [68][69][70] , multi-phase flows [71][72][73][74] , thermal flows 75 and viscous fingering in porous media 76,77 . In all these examples the viscosity (or species and thermal diffusion coefficient) spans a rather large interval of values.…”

Section: Introductionmentioning

confidence: 99%

Stability of the lattice kinetic scheme and choice of the free relaxation parameter

et al. 2019

View full text Add to dashboard Cite

The lattice kinetic scheme (LKS), a modified version of the classical single relaxation time (SRT) lattice Boltzmann (LB) method, was initially developed as a suitable numerical approach for non-Newtonian flow simulations and a way to reduce memory consumption of the original SRT approach. The better performances observed for non-Newtonian flows are mainly due to the additional degree of freedom allowing an independent control over the relaxation of higher-order moments, independently from the fluid viscosity. Although widely applied to fluid flow simulations, yet no theoretical analysis of LKS has been performed. The present work focuses on a systematic von Neumann analysis of the linearized collision operator. Thanks to this analysis, the effect of the modified collision operator on the stability domain and spectral behavior of the scheme are clarified. Results obtained in this study show that correct choices of the "second relaxation coefficient" lead, to a certain extent, to more consistent dispersion and dissipation for large values of the first relaxation coefficient. Furthermore, appropriate values of this parameter can lead to a larger linear stability domain. At moderate and low values of the viscosity, larger values of the free parameter are observed to increase dissipation of kinetic modes, while leaving the acoustic modes untouched and having a less pronounced effect on the convective mode. This increased dissipation leads in general to less pronounced sources of non-linear instability, thus improving the stability of the LKS.

show abstract

Section: Introductionmentioning

confidence: 99%

Stability of the lattice kinetic scheme and choice of the free relaxation parameter

et al. 2019

View full text Add to dashboard Cite

show abstract

“…At present, most of the LBE methods for two phase flows are developed based on the NSCH system. To correctly recover the desired NSCH equations, great efforts have been made [8,[11][12][13][14]. For example, Zheng et al [13] added a spatial difference term of the distribution function as the source term to recovery the CH equation correctly.…”

Section: Introductionmentioning

confidence: 99%

A fractional step lattice Boltzmann model for two-phase flow with large density differences

Zhang

Guo

2019

International Journal of Heat and Mass Transfer

View full text Add to dashboard Cite

“…The ability to simulate liquid-gas systems with physical density and viscosity contrasts is central to the development of multiphase LBM. Recently, this issue has been addressed in the free energy approach [26][27][28][29] based on more efficient numerical schemes, e.g., stable discretization and multi-relaxation time [30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Axisymmetric lattice Boltzmann simulation of droplet impact on solid surfaces

Dalgamoni

Yong

2018

Phys. Rev. E

View full text Add to dashboard Cite

Droplet-solid interaction is a ubiquitous fluid phenomenon that underpins a wide range of applications. To further the understanding of this important problem, we use an axisymmetric lattice Boltzmann method (LBM) to model the droplet impact on a solid surface with different wettability. The method applies a popular free-energy LBM developed by Lee and Liu [T. Lee and L. Liu, J. Comput. Phys. 229, 8045 (2010)10.1016/j.jcp.2010.07.007] to simulate incompressible binary fluids with physical density and viscosity contrasts. The formulation is recast in cylindrical coordinates for modeling the normal impact of a three-dimensional (3D) droplet in the no-splashing regime, in which an axisymmetric flow is considered. The droplet deposits on or rebounds from the surface, governed by three key parameters: Weber number, Ohnesorge number, and equilibrium contact angle, which quantifies the surface wettability. We elucidate the distinct impact dynamics by probing droplet morphology and contact line behavior in great detail, which are quantitatively characterized by spreading factor, droplet aspect ratio, and dynamic contact angle. The simulations also resolve fluid velocity field inside and outside the droplet, which provides additional insight into the morphological evolution and mass-momentum transfer during impact. Explicit comparison between axisymmetric and conventional 2D LBM highlights the importance of axisymmetric terms in governing equations for reproducing physical impact behavior. The axisymmetric LBM significantly reduces computational cost as compared with 3D LBMs and offers an effective means to study droplet impact in applicable conditions.

show abstract

An improved lattice Boltzmann method for incompressible two-phase flows with large density differences

Cited by 46 publications

References 34 publications

Stability of the lattice kinetic scheme and choice of the free relaxation parameter

Stability of the lattice kinetic scheme and choice of the free relaxation parameter

A fractional step lattice Boltzmann model for two-phase flow with large density differences

Axisymmetric lattice Boltzmann simulation of droplet impact on solid surfaces

Contact Info

Product

Resources

About