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A modified multiple-relaxation-time lattice Boltzmann model for convection–diffusion equation

https://doi.org/10.1016/j.jcp.2014.05.041
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Outgoing claims: the papers this work cites, builds on, or argues with.

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A coupled lattice BGK model for the Boussinesq equations
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A Lattice Boltzmann Equation for Waves
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Convection-Diffusion Lattice Boltzmann Scheme for Irregular Lattices
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Optimal Stability of Advection-Diffusion Lattice Boltzmann Models with Two Relaxation Times for Positive/Negative Equilibrium
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The lattice Boltzmann equation: theory and applications
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Equilibrium-type and link-type lattice Boltzmann models for generic advection and anisotropic-dispersion equation
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Multiple anisotropic collisions for advection–diffusion Lattice Boltzmann schemes
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A lattice Boltzmann model for reaction dynamical systems with time delay
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A new scheme for source term in LBGK model for convection–diffusion equation
inferredcites →https://doi.org/10.1016/j.camwa.2007.08.024openalex-snapshot
Advection–diffusion lattice Boltzmann scheme for hierarchical grids
inferredcites →https://doi.org/10.1016/j.camwa.2011.01.041openalex-snapshot
Lattice Boltzmann simulation of some nonlinear convection–diffusion equations
inferredcites →https://doi.org/10.1016/j.cnsns.2011.09.036openalex-snapshot
Modified lattice Boltzmann scheme for nonlinear convection diffusion equations
inferredcites →https://doi.org/10.1016/j.compfluid.2005.03.008openalex-snapshot
An evaluation of lattice Boltzmann schemes for porous medium flow simulation
inferredcites →https://doi.org/10.1016/j.jcp.2004.12.010openalex-snapshot
A multi-relaxation lattice kinetic method for passive scalar diffusion
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Multiple-relaxation-time lattice Boltzmann model for the convection and anisotropic diffusion equation
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Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation
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Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation
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Lattice Boltzmann Model for the Incompressible Navier–Stokes Equation
inferredcites →https://doi.org/10.1063/1.1471914openalex-snapshot
An extrapolation method for boundary conditions in lattice Boltzmann method
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inferredcites →https://doi.org/10.1098/rspa.1953.0139openalex-snapshot
Dispersion of soluble matter in solvent flowing slowly through a tube
inferredcites →https://doi.org/10.1098/rspa.1956.0065openalex-snapshot
On the dispersion of a solute in a fluid flowing through a tube
inferredcites →https://doi.org/10.1098/rsta.2001.0955openalex-snapshot
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inferredcites →https://doi.org/10.1103/physreve.55.2780openalex-snapshot
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Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
inferredcites →https://doi.org/10.1103/physreve.58.7283openalex-snapshot
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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.66.036304openalex-snapshot
Lattice Boltzmann model for incompressible flows through porous media
inferredcites →https://doi.org/10.1103/physreve.68.026701openalex-snapshot
Simplified thermal lattice Boltzmann model for incompressible thermal flows
inferredcites →https://doi.org/10.1103/physreve.68.036706openalex-snapshot
Theory of the lattice Boltzmann method: Acoustic and thermal properties in two and three dimensions
inferredcites →https://doi.org/10.1103/physreve.74.026705openalex-snapshot
Galilean invariant lattice Boltzmann scheme for natural convection on square and rectangular lattices
inferredcites →https://doi.org/10.1103/physreve.75.036704openalex-snapshot
Thermal lattice Boltzmann equation for low Mach number flows: Decoupling model
inferredcites →https://doi.org/10.1103/physreve.75.036706openalex-snapshot
Alternative method to construct equilibrium distribution functions in lattice-Boltzmann method simulation of inviscid compressible flows at high Mach number
inferredcites →https://doi.org/10.1103/physreve.76.056705openalex-snapshot
Coupled double-distribution-function lattice Boltzmann method for the compressible Navier-Stokes equations
inferredcites →https://doi.org/10.1103/physreve.78.026705openalex-snapshot
Multiple-relaxation-time model for the correct thermohydrodynamic equations
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.84.046708openalex-snapshot
Lattice Boltzmann model for generalized nonlinear wave equations
inferredcites →https://doi.org/10.1103/physrevlett.61.2332openalex-snapshot
Use of the Boltzmann Equation to Simulate Lattice-Gas Automata
inferredcites →https://doi.org/10.1142/2899openalex-snapshot
Annual Reviews of Computational Physics III
inferredcites →https://doi.org/10.1142/9789812830647_0006openalex-snapshot
RECENT ADVANCES IN LATTICE BOLTZMANN COMPUTING
inferredcites →https://doi.org/10.1142/s0129183109013856openalex-snapshot
STABILITY AND ACCURACY OF LATTICE BOLTZMANN SCHEMES FOR ANISOTROPIC ADVECTION-DIFFUSION EQUATIONS
inferredcites →https://doi.org/10.1146/annurev-fluid-121108-145519openalex-snapshot
Lattice-Boltzmann Method for Complex Flows
inferredcites →https://doi.org/10.1146/annurev.fluid.30.1.329openalex-snapshot
LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
inferredcites →https://doi.org/10.1209/0295-5075/17/6/001openalex-snapshot
Lattice BGK Models for Navier-Stokes Equation
inferredcites →https://doi.org/10.4208/cicp.211210.280611aopenalex-snapshot
Truncation Errors, Exact and Heuristic Stability Analysis of Two-Relaxation-Times Lattice Boltzmann Schemes for Anisotropic Advection-Diffusion Equation

What points at this work

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

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inferred← citeshttps://doi.org/10.3390/jmse9020219openalex-snapshot
Study on the Collapse Process of Cavitation Bubbles Including Heat Transfer by Lattice Boltzmann Method
inferred← citeshttps://doi.org/10.3390/modelling6030099openalex-snapshot
Dimensionless Modelling of Bond-Based Peridynamic Models and Strategies for Enhancing Numerical Accuracy
inferred← citeshttps://doi.org/10.4208/aamm.oa-2024-0128openalex-snapshot
Mechanisms for Stabilizing Thermal Lattice Boltzmann Equation and Their Applications for Convection-Diffusion Problem on Nonuniform Meshes
inferred← citeshttps://doi.org/10.4208/cicp.181015.270416aopenalex-snapshot
Do Current Lattice Boltzmann Methods for Diffusion and Advection-Diffusion Equations Respect Maximum Principle and the Non-Negative Constraint?
inferred← citeshttps://doi.org/10.4208/cicp.oa-2018-0252openalex-snapshot
A Monotone Finite Volume Scheme with Fixed Stencils for 3D Heat Conduction Equation
inferred← citeshttps://doi.org/10.46690/ager.2021.04.11openalex-snapshot
Theoretical study of micropolar fluid flow in porous media
inferred← citeshttps://doi.org/10.48550/arxiv.1603.09577openalex-snapshot
A general multiple-relaxation-time lattice Boltzmann model for nonlinear anisotropic convection-diffusion equations
inferred← citeshttps://doi.org/10.48550/arxiv.1908.03876openalex-snapshot
Optimal Control for Chemotaxis Systems and Adjoint-Based Optimization with Multiple-Relaxation-Time Lattice Boltzmann Models
inferred← citeshttps://doi.org/10.5004/dwt.2019.24227openalex-snapshot
A flux boundary scheme in the lattice Boltzmann method and its applications in the simulation of membrane desalination
inferred← citeshttps://doi.org/10.70675/47ea6812zad7fz4a1ezb432zbe6c3bb83e19openalex-snapshot
Dispersion in unsaturated porous media
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