Vector-Type Boundary Schemes for the Lattice Boltzmann Method Based on Vector-BGK Models

DOI10.1137/19M1308542zbMath1453.35135OpenAlexW3092974482MaRDI QIDQ5132008

No author found.

Publication date: 9 November 2020

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1308542

zbMATH Keywords

stabilitylattice Boltzmann methodMaxwell iterationbounce-back scheme

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28) Boltzmann equations (35Q20) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (2)

Vectorial finite-difference-based lattice Boltzmann method: consistency, boundary schemes and stability analysis ⋮ Seven-velocity three-dimensional vectorial lattice Boltzmann method including various types of approximations to the pressure and two-parameterized second-order boundary treatments

Cites Work

• Unnamed Item
• Lattice kinetic schemes for magnetohydrodynamics
• Approximation of the multi-dimensional incompressible Navier-Stokes equations by discrete-velocity vector-BGK models
• Convergence of lattice Boltzmann methods for Stokes flows in periodic and bounded domains
• Convergence of lattice Boltzmann methods for Navier-Stokes flows in periodic and bounded domains
• Construction of BGK models with a family of kinetic entropies for a given system of conservation laws
• Convergence of a vector-BGK approximation for the incompressible Navier-Stokes equations
• On anti bounce back boundary condition for lattice Boltzmann schemes
• Lattice Boltzmann method for general convection-diffusion equations: MRT model and boundary schemes
• Boundary conditions of the lattice Boltzmann method for convection-diffusion equations
• Lattice Boltzmann Method and Its Applications in Engineering
• Lattice-Boltzmann Method for Complex Flows
• Momentum transfer of a Boltzmann-lattice fluid with boundaries
• Weighted $\mathbb{L}^2$-Stability of the Lattice Boltzmann Method
• Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation
• LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
• Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations
• Boundary Conditions for Kinetic Theory Based Models I: Lattice Boltzmann Models
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

This page was built for publication: Vector-Type Boundary Schemes for the Lattice Boltzmann Method Based on Vector-BGK Models