Boundary Conditions for Kinetic Theory Based Models I: Lattice Boltzmann Models

DOI10.1137/18M1201986zbMath1421.76185OpenAlexW2952927885WikidataQ127652554 ScholiaQ127652554MaRDI QIDQ5197632

Wen-An Yong, Weifeng Zhao, Juntao Huang

Publication date: 19 September 2019

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1201986

zbMATH Keywords

second-order accuracylattice Boltzmann modelMaxwell iterationboundary schemeshalf-way bounce-back rule

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (9)

Second-order boundary schemes for the lattice Boltzmann method with general propagation ⋮ Seven-velocity three-dimensional vectorial lattice Boltzmann method including various types of approximations to the pressure and two-parameterized second-order boundary treatments ⋮ Vector-Type Boundary Schemes for the Lattice Boltzmann Method Based on Vector-BGK Models ⋮ Navier-Stokes limit of globally hyperbolic moment equations ⋮ A simple and efficient curved boundary scheme of the lattice Boltzmann method for Robin boundary conditions of convection-diffusion equations ⋮ On the collision matrix of the lattice Boltzmann method for anisotropic convection-diffusion equations ⋮ Curved boundary conditions of the lattice Boltzmann method for simulating microgaseous flows in the slip flow regime ⋮ Discrete-Velocity Vector-BGK Models Based Numerical Methods for the Incompressible Navier-Stokes Equations ⋮ Lattice Boltzmann Method for Stochastic Convection-Diffusion Equations

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