Lattice Boltzmann study on Kelvin-Helmholtz instability: Roles of velocity and density gradients

Gan, Yanbiao; Xu, Aiguo; Zhang, Guangcai; Li, Yingjun

doi:10.1103/physreve.83.056704

Cited by 72 publications

(82 citation statements)

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“…Different from the conventional numerical methods, the LB method is based on the mesoscopic kinetic equation for particle distribution functions. Because of its kinetic nature, the LB method has been found to be particularly useful in modeling interfacial phenomena in multiphase flows [4][5][6]. Among the existing multiphase LB models [7][8][9][10][11][12][13][14][15][16][17], the pseudopotential LB model proposed by Shan and Chen [10,11] has received considerable attention for its simplicity and computational efficiency.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model

2013

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Owing to its conceptual simplicity and computational efficiency, the pseudopotential multiphase lattice Boltzmann (LB) model has attracted significant attention since its emergence. In this work, we aim to extend the pseudopotential LB model to simulate multiphase flows at large density ratio and relatively high Reynolds number. First, based on our recent work [Q. Li, K. H. Luo, and X. J. Li, Phys. Rev. E 86, 016709 (2012)], an improved forcing scheme is proposed for the multiple-relaxation-time pseudopotential LB model in order to achieve thermodynamic consistency and large density ratio in the model. Next, through investigating the effects of the parameter a in the Carnahan-Starling equation of state, we find that the interface thickness is approximately proportional to 1/ √ a. Using a smaller a will lead to a wider interface thickness, which can reduce the spurious currents and enhance the numerical stability of the pseudopotential model at large density ratio. Furthermore, it is found that a lower liquid viscosity can be gained in the pseudopotential model by increasing the kinematic viscosity ratio between the vapor and liquid phases. The improved pseudopotential LB model is numerically validated via the simulations of stationary droplet and droplet oscillation. Using the improved model as well as the above treatments, numerical simulations of droplet splashing on a thin liquid film are conducted at a density ratio in excess of 500 with Reynolds numbers ranging from 40 to 1000. The dynamics of droplet splashing is correctly reproduced and the predicted spread radius is found to obey the power law reported in the literature.

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Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model

2013

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“…It was shown that the WENO scheme is suitable when simulating flows with discontinuities or strong gradients, in effect suppressing spurious oscillations and reducing numerical viscosity [20]. The spatial domain is set to unity and we chose a grid consisting of 1 × 1 × L z nodes, while the time step is limited by the CFL condition [20].…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Open boundary conditions are imposed along the axis parallel to the flow (i.e. the z axis) and periodic conditions in the perpendicular directions [20]. In order to determine the quadrature order to be employed for the recovery of the dynamics of N μ and T μν , we consider the projection of Eq.…”

Section: Riemann Problemmentioning

confidence: 99%

Quadrature-based lattice Boltzmann model for relativistic flows

Blaga¹,

Ambruş²

2017

AIP Conference Proceedings

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Abstract. A quadrature-based finite-difference lattice Boltzmann model is developed that is suitable for simulating relativistic flows of massless particles. We briefly review the relativistc Boltzmann equation and present our model. The quadrature is constructed such that the stress-energy tensor is obtained as a second order moment of the distribution function. The results obtained with our model are presented for a particular instance of the Riemann problem (the Sod shock tube). We show that the model is able to accurately capture the behavior across the whole domain of relaxation times, from the hydrodynamic to the ballistic regime. The property of the model of being extendable to arbitrarily high orders is shown to be paramount for the recovery of the analytical result in the ballistic regime.

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“…Compared with the hydrodynamic descriptions, both the SRT-LB and MRT-LB present new measurements for the deviations of systems from their thermodynamic equilibria. The LB model is being extended to study the compressibility effects, effects of shocking and detonation, thermal effects on the hydrodynamic instabilities [51] and multiphase flows [58][59][60], etc., which are all-important issues in science and engineering.…”

Section: Discussionmentioning

confidence: 99%

“…In this section, we summarize our recent attempts on LB simulations on KH [51] and RM instabilities [42,43]. When studying the RM instability, the system must be compressible.…”

Section: Simulations On Hydrodynamic Instabilitiesmentioning

confidence: 99%