Improved color-gradient method for lattice Boltzmann modeling of two-phase flows

Lafarge, T.; Boivin, Pierre; Odier, Nicolas; Cuenot, Bénédicte

doi:10.1063/5.0061638

Cited by 14 publications

(10 citation statements)

References 94 publications

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“…where F denotes the body force. Excluding a few recent CG models [41,51], the pressure p and density ρ are connected by an ideal gas equation of state (EOS). To obtain a continuous pressure at the interface, the CG model introduces different sound speeds for each phase.…”

Section: A Model Descriptionmentioning

confidence: 99%

“…This feature results in different sound speeds being defined for both phases. From the pressure balance p r = p b in the interface region, we obtain the following relationship between the density ratio and speed of sound [21,51,92,94]:…”

Section: A Model Descriptionmentioning

confidence: 99%

“…Using a higher-order isotropic gradient operator also enhances numerical stability and accuracy [49]. Recently, the mathematical similarity between the recovered macroscopic equation from the recoloring algorithm and the conservative Allen-Cahn equation [50], which is an interface-capturing equation used in phase-field modeling, has been discussed in several studies [41,47,51].…”

Section: Introductionmentioning

confidence: 99%

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AIST Nanocharactarization Facility (National Institute of Advanced Industrial Science and Technology)

et al. 2019

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We investigated the spectral properties of electromagnetic (EM) enhancement of one-dimensional hotspots (1D HSs) generated between silver nanowire (NW) dimers.The EM enhancement spectra were directly derived by dividing the spectra of ultrafast surface-enhanced fluorescence (UFSEF) from single NW dimers with UFSEF obtained from large nanoparticle aggregates, which aggregate-by-aggregate variations in the UFSEF spectra were averaged out. Some NW dimers were found to exhibit EM enhancement spectra that deviated from the plasmon resonance Rayleigh scattering spectra, indicating that their EM enhancement was not generated by superradiant plasmons. These experimental results were examined by numerical calculation based on the EM mechanism by varying the morphology of the NW dimers. The calculations reproduced the spectral deviations as the NW diameter dependence of EM enhancement.Phase analysis of the enhanced EM near fields along the 1D HSs revealed that the dipole-quadrupole coupled plasmon, which is a subradiant mode, mainly generates EM enhancement for dimers with NW diameters larger than ~80 nm, which was consistent with scanning electron microscopic measurements.

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Section: A Model Descriptionmentioning

confidence: 99%

Section: A Model Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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AIST Nanocharactarization Facility (National Institute of Advanced Industrial Science and Technology)

et al. 2019

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“…The lattice Boltzmann method (LBM) has emerged as a powerful alternative tool for computational fluid dynamics during the last three decades 1 . Its low dissipation properties 2 , together with a simple and easily parallelizable algorithm 3 and an ability to handle complex geometries thanks to immersed boundary conditions on an automatically generated Cartesian mesh 4 have made it competitive for both academic and industrial applications ranging from turbulent flows 5,6 , combustion [7][8][9] , multiphase flows 10,11 to magnetohydrodynamics 12,13 .…”

Section: Introductionmentioning

confidence: 99%

Restoring the conservativity of characteristic-based segregated models: Application to the hybrid lattice Boltzmann method

et al. 2022

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A general methodology is introduced to build conservative numerical models for fluid simulations based on segregated schemes, where mass, momentum, and energy equations are solved by different methods. It is especially designed here for developing new numerical discretizations of the total energy equation and adapted to a thermal coupling with the lattice Boltzmann method (LBM). The proposed methodology is based on a linear equivalence with standard discretizations of the entropy equation, which, as a characteristic variable of the Euler system, allows efficiently decoupling the energy equation with the LBM. To this extent, any LBM scheme is equivalently written under a finite-volume formulation involving fluxes, which are further included in the total energy equation as numerical corrections. The viscous heat production is implicitly considered thanks to the knowledge of the LBM momentum flux. Three models are subsequently derived: a first-order upwind, a Lax–Wendroff, and a third-order Godunov-type schemes. They are assessed on standard academic test cases: a Couette flow, entropy spot and vortex convections, a Sod shock tube, several two-dimensional Riemann problems, and a shock–vortex interaction. Three key features are then exhibited: (1) the models are conservative by construction, recovering correct jump relations across shock waves; (2) the stability and accuracy of entropy modes can be explicitly controlled; and (3) the low dissipation of the LBM for isentropic phenomena is preserved.

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“…These extra terms may affect the numerical results significantly. Recently, several works are conducted using the RK color-gradiant as Lafarge et al (Lafarge et al, 2021) who improved color-gradient method for lattice Boltzmann modeling of two-phase flows, Sadeghi et al (Sadeghi et al 2021) who studied immiscible displacement mechanisms in pore doublets and Mora et al (Mora et al, 2021a(Mora et al, , 2021b who investigated the optimization isotropy of the gradient at small radius of curvature interfaces such as those that occur in flow through a porous medium for the choice of the interfacial thickness parameter 𝛽=0.5 and the optimal surface-tension isotropy in the RK color-gradient lattice Boltzmann method for multiphase flow.…”

Section: Introductionmentioning

confidence: 99%

Study of Two Layered Immiscible Fluids Flow in a Channel with Obstacle by Using Lattice Boltzmann RK Color Gradient Model

Channouf

Admi

Jami

et al. 2022

Int. J. Renew. Energy Dev.

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Lattice Boltzmann method (LBM) is employed in the current work to simulate two-phase flows of immiscible fluids over a square obstacle in a 2D computational domain using the Rothman-Keller color gradient model. This model is based on the multiphase Rothman-Keller description, it is used to separate two fluids in flow and to assess its efficacy when treating two fluids in flow over a square obstacle with the objective of reducing turbulence by adjusting the viscosities of the two fluids. This turbulence can cause major problems such as interface tracking techniques in gas-liquid flow and upward or downward co-current flows in pipes. So, the purpose of the study is to replace a single fluid with two fluids of different viscosities by varying these viscosities in order to reduce or completely eliminate the turbulence. The results show that to have stable, parallel and non-overlapping flows behind the obstacle, it is necessary that the difference between the viscosities of the fluids be significant. Also, showing that the increase in the viscosity ratio decreases the time corresponding to the disappearance of the vortices behind the obstacle. The results presented in this work have some general conclusions: For M≥2, the increase in the viscosity difference leads to an increasing of friction between fluids, reducing of average velocity of flow and decreasing the time corresponding to the disappearance of the vortices behind the obstacle. However, for M≤1/2, the opposite occurs.

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Improved color-gradient method for lattice Boltzmann modeling of two-phase flows

Cited by 14 publications

References 94 publications

AIST Nanocharactarization Facility (National Institute of Advanced Industrial Science and Technology)

AIST Nanocharactarization Facility (National Institute of Advanced Industrial Science and Technology)

Restoring the conservativity of characteristic-based segregated models: Application to the hybrid lattice Boltzmann method

Study of Two Layered Immiscible Fluids Flow in a Channel with Obstacle by Using Lattice Boltzmann RK Color Gradient Model

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