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A Lattice Boltzmann Model for Two-Phase Flow in Porous Media

https://doi.org/10.1137/18m1166742
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf02181215openalex-snapshot
A lattice Boltzmann equation for diffusion
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Lattice Boltzmann modeling of transport phenomena in fuel cells and flow batteries
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Multiphase lattice Boltzmann simulations for porous media applications
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Lattice Boltzmann Model Based on the Rebuilding-Divergency Method for the Laplace Equation and the Poisson Equation
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A New Multiple-relaxation-time Lattice Boltzmann Method for Natural Convection
inferredcites →https://doi.org/10.1007/s10915-014-9820-6openalex-snapshot
A Coupled Lattice Boltzmann Method to Solve Nernst–Planck Model for Simulating Electro-osmotic Flows
inferredcites →https://doi.org/10.1007/s10915-016-0198-5openalex-snapshot
A Multiple-Relaxation-Time Lattice Boltzmann Model for General Nonlinear Anisotropic Convection–Diffusion Equations
inferredcites →https://doi.org/10.1007/s10955-011-0208-9openalex-snapshot
On the Three-Dimensional Central Moment Lattice Boltzmann Method
inferredcites →https://doi.org/10.1016/0045-7825(84)90118-xopenalex-snapshot
A finite element study of two-dimensional multiphase flow with particular reference to the five-spot problem
inferredcites →https://doi.org/10.1016/0307-904x(89)90070-xopenalex-snapshot
A numerical model for simulating two-phase flow through porous media
inferredcites →https://doi.org/10.1016/j.advwatres.2005.03.004openalex-snapshot
Equilibrium-type and link-type lattice Boltzmann models for generic advection and anisotropic-dispersion equation
inferredcites →https://doi.org/10.1016/j.advwatres.2005.03.009openalex-snapshot
Generic boundary conditions for lattice Boltzmann models and their application to advection and anisotropic dispersion equations
inferredcites →https://doi.org/10.1016/j.advwatres.2006.04.002openalex-snapshot
An adaptive local–global multiscale finite volume element method for two-phase flow simulations
inferredcites →https://doi.org/10.1016/j.advwatres.2011.07.002openalex-snapshot
A two-scale operator-splitting method for two-phase flow in porous media
inferredcites →https://doi.org/10.1016/j.advwatres.2012.03.003openalex-snapshot
Pore-scale imaging and modelling
inferredcites →https://doi.org/10.1016/j.apm.2007.06.033openalex-snapshot
A novel lattice Boltzmann model for the Poisson equation
inferredcites →https://doi.org/10.1016/j.cam.2012.09.045openalex-snapshot
Numerical simulation of two-phase immiscible incompressible flows in heterogeneous porous media with capillary barriers
inferredcites →https://doi.org/10.1016/j.earscirev.2016.02.001openalex-snapshot
Imaging and image-based fluid transport modeling at the pore scale in geological materials: A practical introduction to the current state-of-the-art
inferredcites →https://doi.org/10.1016/j.ijheatmasstransfer.2016.03.065openalex-snapshot
A comparative study on the lattice Boltzmann models for predicting effective diffusivity of porous media
inferredcites →https://doi.org/10.1016/j.ijheatmasstransfer.2016.04.095openalex-snapshot
Localized lattice Boltzmann equation model for simulating miscible viscous displacement in porous media
inferredcites →https://doi.org/10.1016/j.ijheatmasstransfer.2016.11.092openalex-snapshot
Lattice Boltzmann models for the convection-diffusion equation: D2Q5 vs D2Q9
inferredcites →https://doi.org/10.1016/j.ijheatmasstransfer.2018.02.013openalex-snapshot
A comparative study of local and nonlocal Allen-Cahn equations with mass conservation
inferredcites →https://doi.org/10.1016/j.jcis.2005.09.042openalex-snapshot
Lattice Poisson–Boltzmann simulations of electro-osmotic flows in microchannels
inferredcites →https://doi.org/10.1016/j.jcp.2010.06.037openalex-snapshot
Multiple-relaxation-time lattice Boltzmann model for the convection and anisotropic diffusion equation
inferredcites →https://doi.org/10.1016/j.jcp.2010.07.002openalex-snapshot
A lattice Boltzmann model for coupled diffusion
inferredcites →https://doi.org/10.1016/j.jcp.2012.11.027openalex-snapshot
Boundary conditions for thermal lattice Boltzmann equation method
inferredcites →https://doi.org/10.1016/j.jcp.2014.01.049openalex-snapshot
Multigrid lattice Boltzmann method for accelerated solution of elliptic equations
inferredcites →https://doi.org/10.1016/j.jcp.2014.05.041openalex-snapshot
A modified multiple-relaxation-time lattice Boltzmann model for convection–diffusion equation
inferredcites →https://doi.org/10.1016/j.jcp.2015.07.045openalex-snapshot
Boundary conditions of the lattice Boltzmann method for convection–diffusion equations
inferredcites →https://doi.org/10.1016/j.jcp.2016.10.049openalex-snapshot
Single-node second-order boundary schemes for the lattice Boltzmann method
inferredcites →https://doi.org/10.1016/j.jcp.2016.12.014openalex-snapshot
An improved lattice Boltzmann method for simulating advective–diffusive processes in fluids
inferredcites →https://doi.org/10.1016/j.pecs.2009.01.001openalex-snapshot
Mass transport phenomena in direct methanol fuel cells
inferredcites →https://doi.org/10.1016/s0010-4655(00)00103-xopenalex-snapshot
Lattice Boltzmann simulation of electrochemical systems
inferredcites →https://doi.org/10.1023/b:tipm.0000003667.86625.15openalex-snapshot
An Improved IMPES Method for Two-Phase Flow in Porous Media
inferredcites →https://doi.org/10.1061/jrcea4.0000425openalex-snapshot
Properties of Porous Media Affecting Fluid Flow
inferredcites →https://doi.org/10.1063/1.464316openalex-snapshot
Lattice Boltzmann computations for reaction-diffusion equations
inferredcites →https://doi.org/10.1103/physreve.61.6546openalex-snapshot
Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability
inferredcites →https://doi.org/10.1103/physreve.65.056312openalex-snapshot
Single relaxation time model for entropic lattice Boltzmann methods
inferredcites →https://doi.org/10.1103/physreve.73.066705openalex-snapshot
Cascaded digital lattice Boltzmann automata for high Reynolds number flow
inferredcites →https://doi.org/10.1103/physreve.79.016701openalex-snapshot
Lattice Boltzmann model for nonlinear convection-diffusion equations
inferredcites →https://doi.org/10.1103/physreve.82.025701openalex-snapshot
Second-order convergence of the deviatoric stress tensor in the standard Bhatnagar-Gross-Krook lattice Boltzmann method
inferredcites →https://doi.org/10.1103/physreve.85.016701openalex-snapshot
General bounce-back scheme for concentration boundary condition in the lattice-Boltzmann method
inferredcites →https://doi.org/10.1103/physreve.86.016705openalex-snapshot
Effect of the forcing term in the multiple-relaxation-time lattice Boltzmann equation on the shear stress or the strain rate tensor
inferredcites →https://doi.org/10.1103/physreve.86.065701openalex-snapshot
Accuracy of the viscous stress in the lattice Boltzmann equation with simple boundary conditions
inferredcites →https://doi.org/10.1103/physreve.87.063309openalex-snapshot
Lattice Boltzmann model for the convection-diffusion equation
inferredcites →https://doi.org/10.1103/physreve.90.013305openalex-snapshot
Nonequilibrium scheme for computing the flux of the convection-diffusion equation in the framework of the lattice Boltzmann method
inferredcites →https://doi.org/10.1103/physreve.93.043311openalex-snapshot
Discrete effect on the halfway bounce-back boundary condition of multiple-relaxation-time lattice Boltzmann model for convection-diffusion equations
inferredcites →https://doi.org/10.1137/040602936openalex-snapshot
Numerical Approximation of a Two-phase Flow Problem in a Porous Medium with Discontinuous Capillary Forces
inferredcites →https://doi.org/10.1137/0720046openalex-snapshot
Finite Difference Methods for Two-Phase Incompressible Flow in Porous Media
inferredcites →https://doi.org/10.1137/120866208openalex-snapshot
An $h$-Adaptive Operator Splitting Method for Two-Phase Flow in 3D Heterogeneous Porous Media
inferredcites →https://doi.org/10.1137/15m1041882openalex-snapshot
Active-Set Reduced-Space Methods with Nonlinear Elimination for Two-Phase Flow Problems in Porous Media
inferredcites →https://doi.org/10.1140/epjst/e2009-01035-5openalex-snapshot
The lattice Boltzmann advection-diffusion model revisited
inferredcites →https://doi.org/10.1146/annurev.fluid.30.1.139openalex-snapshot
DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
inferredcites →https://doi.org/10.1146/annurev.fluid.30.1.329openalex-snapshot
LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
inferredcites →https://doi.org/10.1146/annurev.fluid.37.061903.175748openalex-snapshot
MODELING FLUID FLOW IN OIL RESERVOIRS
inferredcites →https://doi.org/10.1209/0295-5075/17/6/001openalex-snapshot
Lattice BGK Models for Navier-Stokes Equation
inferredcites →https://doi.org/10.1209/epl/i2003-00496-6openalex-snapshot
Minimal entropic kinetic models for hydrodynamics
inferredcites →https://doi.org/10.1299/jsmeb.44.45openalex-snapshot
The Lattice BGK Model for the Poisson Equation
inferredcites →https://doi.org/10.2136/sssaj1980.03615995004400050002xopenalex-snapshot
A Closed‐form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Discrete effects on some boundary schemes of multiple-relaxation-time lattice Boltzmann model for convection–diffusion equations
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A finite-difference lattice Boltzmann method with second-order accuracy of time and space for incompressible flow
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Modelling anisotropic Cahn-Hilliard equation with the lattice Boltzmann method
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The influences of acceleration on compressible Rayleigh–Taylor instability with non-equilibrium effects
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Investigation of effects of initial interface conditions on the two-dimensional single-mode compressible Rayleigh–Taylor instability: Based on the discrete Boltzmann method
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Applications of physics-informed neural networks in fluid flow in porous media - A review study
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Investigation of droplet dynamic in PEMFCs gas diffusion layer and gas channel with Micro-CT and lattice Boltzmann method
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Comparative study of natural convection melting inside a cubic cavity using an improved two-relaxation-time lattice Boltzmann model
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A lattice Boltzmann model for the conjugate heat transfer
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Effects of temperature-dependent viscosity on natural convection in a porous cavity with a circular cylinder under local thermal non-equilibrium condition
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