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

Leclaire, Sébastien; Parmigiani, Andrea; Chopard, Bastien; Lätt, Jonas

doi:10.1142/s0129183117500851

Cited by 23 publications

(27 citation statements)

References 64 publications

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“…The CGM has been shown to be capable of correctly simulating a time-scale power law which is related to the coalescence rate of spinodal decomposition [24]. In addition, the CGM has been extensively validated against various benchmarks [26,[30][31][32]. The CGM has also been reported to be well suited to resolve the competition between capillary and viscous stresses as occurring in porous media [26].…”

Section: Conceptual Model and Simulation Set-upmentioning

confidence: 99%

“…(1) First, the particle populations at the computational domain boundaries are updated according to the classical fully periodic boundary conditions [34] (2) The classical weakly compressible Boltzmann fluid hydrodynamic is introduced into the color-gradient method with a color-blind collision between the particles. The hydraulic gradient is modeled by including an external force on the wetting phase [32,35] (3) The wetting boundary condition is applied (i.e., the dispersed phase is perfectly non-wetting with a 180degree contact angle) using ghost nodes as described by Leclaire et al [31] (4) A perturbation operator is introduced to model the interfacial tension at the interface between the two immiscible phases (5) The finite width of the interface and the immiscibility is preserved by using an additional recoloring step (6) A no-slip boundary condition between the colored particles and the solid phase is applied using a classical full-way bounce-back [27] (7) Finally, the usual streaming step is applied to each of the colored particle populations Compared to the CGM described by Leclaire et al [26], the current model applies two simplifications so that the total computational expense of this study can be reduced. The first simplification is the implementation of a single-relaxationtime model which is a special case of the multirelaxationtime model with χ = 1, as presented by Leclaire et al [26].…”

Section: Conceptual Model and Simulation Set-upmentioning

confidence: 99%

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Characterization of Transport-Enhanced Phase Separation in Porous Media Using a Lattice-Boltzmann Method

et al. 2019

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Phase separation of formation fluids in the subsurface introduces hydrodynamic perturbations which are critical for mass and energy transport of geofluids. Here, we present pore-scale lattice-Boltzmann simulations to investigate the hydrodynamical response of a porous system to the emergence of non-wetting droplets under background hydraulic gradients. A wide parameter space of capillary number and fluid saturation is explored to characterize the droplet evolution, the droplet size and shape distribution, and the capillary-clogging patterns. We find that clogging is favored by high capillary stress; nonetheless, clogging occurs at high non-wetting saturation (larger than 0.3), denoting the importance of convective transport on droplet growth and permeability. Moreover, droplets are more sheared at low capillary number; however, solid matrix plays a key role on droplet’s volume-to-surface ratio.

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Section: Conceptual Model and Simulation Set-upmentioning

confidence: 99%

Section: Conceptual Model and Simulation Set-upmentioning

confidence: 99%

Characterization of Transport-Enhanced Phase Separation in Porous Media Using a Lattice-Boltzmann Method

et al. 2019

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“…Four main multiphase formulations are available for LBM : the pseudopotential model [44], the free energy model [45], the mean field model [46] and the color gradient model [47]. We recommend the reading of [48,49] for those looking for a detailed comparison of these techniques. In this work, we choose to work with the color gradient model because among the diffuse interface approaches, it is the one with a thin interface compared to the pseudo potential approach for example.…”

Section: Lbm Immiscible Multiphase Modelmentioning

confidence: 99%

“…The free energy model requires solving a Poisson equation at every time step which is time consuming and the mean field approach is limited to small density ratios [50]. Moreover, the color gradient model benefits from the large body of verification and validation cases available in the literature [51,52,53,54,55,56,49].…”

Section: Lbm Immiscible Multiphase Modelmentioning

confidence: 99%

Comparison of multiphase SPH and LBM approaches for the simulation of intermittent flows

et al. 2019

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Smoothed Particle Hydrodynamics (SPH) and Lattice Boltzmann Method (LBM) are increasingly popular and attractive methods that propose efficient multiphase formulations, each one with its own strengths and weaknesses. In this context, when it comes to study a given multi-fluid problem, it is helpful to rely on a quantitative comparison to decide which approach should be used and in which context. In particular, the simulation of intermittent two-phase flows in pipes such as slug flows is a complex problem involving moving and intersecting interfaces for which both SPH and LBM could be considered. It is a problem of interest in petroleum applications since the formation of slug flows that can occur in submarine pipelines connecting the wells to the production facility can cause undesired behaviors with hazardous consequences. In this work, we compare SPH and LBM multiphase formulations where surface tension effects are modeled respectively using the continuum surface force and the color gradient approaches on a collection of standard test cases, and on the simulation of intermittent flows in 2D. This paper aims to highlight the contributions and limitations of SPH and LBM when applied to these problems. First, we compare our implementations on static bubble problems with different density and viscosity ratios. Then, we focus on gravity driven simulations of slug flows in pipes for several Reynolds numbers. Finally, we conclude with simulations of slug flows with inlet/outlet boundary conditions. According to the results presented in this study, we confirm that the SPH approach is more robust and versatile whereas the LBM formulation is more accurate and faster.

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“…The interface shape needs to be dynamically stable, which requires a balance between interfacial tension, buoyancy, and shear stresses at the scale of each fluid bubble. We solved this problem numerically using a lattice Boltzmann multiphase flow solver based on the color‐gradient method (Leclaire, Parmigiani, Malaspinas, et al, ; Leclaire, Parmigiani, Chopard, & Latt, ; Liu et al, ) that we have used in the past to compute the pore‐scale dynamics of fluid outgassing and migration in magma reservoirs (Parmigiani et al, , ). More details about the numerical method are provided in Appendix A.…”

Section: Physical Modelmentioning

confidence: 99%

A Physical Model for Three‐Phase Compaction in Silicic Magma Reservoirs

Huber

Parmigiani

2018

JGR Solid Earth

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We develop a model for phase separation in magma reservoirs containing a mixture of silicate melt, crystals, and fluids (exsolved volatiles). The interplay between the three phases controls the dynamics of phase separation and consequently the chemical and physical evolution of magma reservoirs. The model we propose is based on the two‐phase damage theory approach of Bercovici et al. (2001, https://doi.org/10.1029/2000JB900430) and Bercovici and Ricard (2003, https://doi.org/10.1046/j.1365-246X.2003.01854.x) because it offers the leverage of considering interface (in the macroscopic limit) between phases that can deform depending on the mechanical work and phase changes taking place locally in the magma. Damage models also offer the advantage that pressure is defined uniquely to each phase and does not need to be equal among phases, which will enable us to consider, in future studies, the large capillary pressure at which fluids are mobilized in mature, crystal‐rich, magma bodies. In this first analysis of three‐phase compaction, we solve the three‐phase compaction equations numerically for a simple 1‐D problem where we focus on the effect of fluids on the efficiency of melt‐crystal separation considering the competition between viscous and buoyancy stresses only. We contrast three sets of simulations to explore the behavior of three‐phase compaction, a melt‐crystal reference compaction scenario (two‐phase compaction), a three‐phase scenario without phase changes, and finally a three‐phase scenario with a parameterized second boiling (crystallization‐induced exsolution). The simulations show a dramatic difference between two‐phase (melt crystals) and three‐phase (melt‐crystals‐exsolved volatiles) compaction‐driven phase separation. We find that the presence of a lighter, significantly less viscous fluid hinders melt‐crystal separation.

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

Cited by 23 publications

References 64 publications

Characterization of Transport-Enhanced Phase Separation in Porous Media Using a Lattice-Boltzmann Method

Characterization of Transport-Enhanced Phase Separation in Porous Media Using a Lattice-Boltzmann Method

Comparison of multiphase SPH and LBM approaches for the simulation of intermittent flows

A Physical Model for Three‐Phase Compaction in Silicic Magma Reservoirs

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