A lattice Boltzmann model for the fractional advection-diffusion equation coupled with incompressible Navier-Stokes equation

DOI10.1016/j.aml.2019.106074zbMath1431.35097OpenAlexW2977431154MaRDI QIDQ2338306

Rui Du, Zixuan Liu

Publication date: 21 November 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106074

zbMATH Keywords

lattice Boltzmann methodCaputo derivativefractional advection-diffusion equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Particle methods and lattice-gas methods (76M28) Fractional derivatives and integrals (26A33) Navier-Stokes equations (35Q30) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Fractional partial differential equations (35R11) Boltzmann equations (35Q20)

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An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation ⋮ Discrete Boltzmann multi-scale modelling of non-equilibrium multiphase flows ⋮ Lattice Boltzmann Model for Time-Fractional Nonlinear Wave Equations ⋮ A recursive finite-difference lattice Boltzmann model for the convection-diffusion equation with a source term ⋮ Time dependent subgrid multiscale stabilized finite element analysis of fully coupled transient <scp>Navier–Stokes</scp>‐transport model ⋮ Lattice Boltzmann method for fractional Cahn-Hilliard equation ⋮ Lattice BGK model for time-fractional incompressible Navier-Stokes equations ⋮ On the collision matrix of the lattice Boltzmann method for anisotropic convection-diffusion equations ⋮ Numerical simulation of the fractional dispersion advection equations based on the lattice Boltzmann model

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