Microscopic Modeling of Immiscible Fluids in Three Dimensions by a Lattice Boltzmann Method

Gunstensen, Andrew K.; Rothman, Daniel H.

doi:10.1209/0295-5075/18/2/012

Cited by 89 publications

(48 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…To calculate a two phase flow the Immiscible Lattice Boltzmann Model (ILB) is used [16,17]. We further advance this method to handle large jumps of physical parameters (density, viscosity) [14].…”

Section: Relative Permeabilities and Capillary Pressurementioning

confidence: 99%

Design of acoustic trim based on geometric modeling and flow simulation for non-woven

Schladitz¹,

Peters²,

Reinel-Bitzer³

et al. 2006

Computational Materials Science

194

118

View full text Add to dashboard Cite

In order to optimize the acoustic properties of a stacked fiber nonwoven, the microstructure of the non-woven is modeled by a macroscopically homogeneous random system of straight cylinders (tubes). That is, the fibers are modeled by a spatially stationary random system of lines (Poisson line process), dilated by a sphere. Pressing the non-woven causes anisotropy. In our model, this anisotropy is described by a one parametric distribution of the direction of the fibers. In the present application, the anisotropy parameter has to be estimated from 2d reflected light microscopic images of microsections of the non-woven.After fitting the model, the flow is computed in digitized realizations of the stochastic geometric model using the lattice Boltzmann method. Based on the flow resistivity, the formulas of Delany and Bazley predict the frequency-dependent acoustic absorption of the non-woven in the impedance tube.Using the geometric model, the description of a non-woven with improved acoustic absorption properties is obtained in the following way: First, the fiber thicknesses, porosity and anisotropy of the fiber system are modified. Then the flow and acoustics simulations are performed in the new sample. These two steps are repeatedc for various sets of parameters. Finally, the set of parameters for the geometric model leading to the best acoustic absorption is chosen.

show abstract

Section: Relative Permeabilities and Capillary Pressurementioning

confidence: 99%

Design of acoustic trim based on geometric modeling and flow simulation for non-woven

Schladitz¹,

Peters²,

Reinel-Bitzer³

et al. 2006

Computational Materials Science

194

118

View full text Add to dashboard Cite

show abstract

“…It is based on the original three-dimensional CGM of Gunstensen and Rothman [15], but offers many additional improvements. More precisely, the model is an extension of the more recent two-dimensional model developed by Leclaire et al [41].…”

Section: Introductionmentioning

confidence: 99%

Generalized three-dimensional lattice Boltzmann color-gradient method for immiscible two-phase pore-scale imbibition and drainage in porous media

et al. 2017

View full text Add to dashboard Cite

This article presents a three-dimensional numerical framework for the simulation of fluid-fluid immiscible compounds in complex geometries, based on the multiple-relaxation-time lattice Boltzmann method to model the fluid dynamics and the color-gradient approach to model multicomponent flow interaction. New lattice weights for the lattices D3Q15, D3Q19, and D3Q27 that improve the Galilean invariance of the color-gradient model as well as for modeling the interfacial tension are derived and provided in the Appendix. The presented method proposes in particular an approach to model the interaction between the fluid compound and the solid, and to maintain a precise contact angle between the two-component interface and the wall. Contrarily to previous approaches proposed in the literature, this method yields accurate solutions even in complex geometries and does not suffer from numerical artifacts like nonphysical mass transfer along the solid wall, which is crucial for modeling imbibition-type problems. The article also proposes an approach to model inflow and outflow boundaries with the color-gradient method by generalizing the regularized boundary conditions. The numerical framework is first validated for three-dimensional (3D) stationary state (Jurin's law) and time-dependent (Washburn's law and capillary waves) problems. Then, the usefulness of the method for practical problems of pore-scale flow imbibition and drainage in porous media is demonstrated. Through the simulation of nonwetting displacement in two-dimensional random porous media networks, we show that the model properly reproduces three main invasion regimes (stable displacement, capillary fingering, and viscous fingering) as well as the saturating zone transition between these regimes. Finally, the ability to simulate immiscible two-component flow imbibition and drainage is validated, with excellent results, by numerical simulations in a Berea sandstone, a frequently used benchmark case used in this field, using a complex geometry that originates from a 3D scan of a porous sandstone. The methods presented in this article were implemented in the open-source PALABOS library, a general C++ matrix-based library well adapted for massive fluid flow parallel computation.

show abstract

“…4 Grunau et al 22 introduce the viscosity variation into the CGM model and also proposed an approach to obtain a stable interface with density ratio by varying the isothermal speed of sound between the phases. Reis and Phillips 23 modify the perturbation operator so that the interfacial tension is compatible with the capillary stress tensor at the macroscopic level.…”

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

Microscopic Modeling of Immiscible Fluids in Three Dimensions by a Lattice Boltzmann Method

Cited by 89 publications

References 13 publications

Design of acoustic trim based on geometric modeling and flow simulation for non-woven

Design of acoustic trim based on geometric modeling and flow simulation for non-woven

Generalized three-dimensional lattice Boltzmann color-gradient method for immiscible two-phase pore-scale imbibition and drainage in porous media

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

Contact Info

Product

Resources

About